{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-08-24T00:15:41.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-08-24T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":61454,"title":"Not yet geometry(equilateral triangle)","description":"Type the formula of the area(A) of an equilateral triangle with a side of a.\r\nTip: As a string.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area(A) of an equilateral triangle with a side of a.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: As a string.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formula(x)\r\n     \r\nend","test_suite":"%%\r\ny_correct = 'a^2*sqrt(3)/4'\r\nassert(isequal(formula(),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:44:08.000Z","updated_at":"2026-08-25T12:31:57.000Z","published_at":"2026-08-24T14:44:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area(A) of an equilateral triangle with a side of a.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: As a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61456,"title":"Not yet geometry(Circles)","description":"Type the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\r\nTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formulacirc(x)\r\n    \r\nend","test_suite":"%%\r\ny_correct = 'Ac=pi*r^2 As=theta*r^2/2';\r\nassert(isequal(formulacirc(),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T20:15:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2026-08-24T20:15:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T15:03:31.000Z","updated_at":"2026-08-25T12:37:33.000Z","published_at":"2026-08-24T15:03:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61453,"title":"Not yet geometry(triangles)","description":"Write the formula of the area of a triangle(A) that has a height of h and a base of b.\r\nTip: Write the formula as a string.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite the formula of the area of a triangle(A) that has a height of h and a base of b.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: Write the formula as a string.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formula(x)\r\n  \r\nend","test_suite":"%%\r\ny_correct = 'b*h/2';\r\nassert(isequal(formula(),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:37:27.000Z","updated_at":"2026-08-25T21:01:35.000Z","published_at":"2026-08-24T14:37:27.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite the formula of the area of a triangle(A) that has a height of h and a base of b.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: Write the formula as a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61449,"title":"Geometry time3!(Medium)","description":"This time we have two circles! The shape is given below:\r\n\r\nYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\r\nExplanation(if needed):O1O2 is the line that connects the centers of both circles.\r\nTips:1) You can draw a line somewhere on this shape if you want.\r\n2) The circles are tangent.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 407.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 203.9px; transform-origin: 469px 203.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis time we have two circles! The shape is given below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 206.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 103.4px; text-align: left; transform-origin: 445px 103.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"309\" height=\"201\" style=\"vertical-align: baseline;width: 309px;height: 201px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eExplanation(if needed):O1O2 is the line that connects the centers of both circles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eTips:1) You can draw a line somewhere on this shape if you want.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2) The circles are tangent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [A1,A2] = find_the_circles_area(a,D)\r\n  \r\nend","test_suite":"%%\r\na = 7;\r\nD = 6;\r\nA1_exp = (pi*(7 + sqrt(13))^2)/4;\r\nA2_exp = (pi*(7 - sqrt(13))^2)/4;\r\n[A1_act, A2_act] = find_the_circles_area(a, D);\r\nassert(abs(A1_act - A1_exp) \u003c 1e-4, 'A1 is wrong.');\r\nassert(abs(A2_act - A2_exp) \u003c 1e-4, 'A2 is wrong.');\r\n%%\r\nD_val = randi([5, 50]);\r\na_val = D_val + randi([1, 20]);\r\nd = sort(roots([1, -2*a_val, D_val^2]), 'descend');\r\nA1_ref = (pi/4) * d(1)^2;\r\nA2_ref = (pi/4) * d(2)^2;\r\n[A1_user, A2_user] = find_the_circles_area(a_val, D_val);\r\nassert(abs(A1_user - A1_ref) \u003c 1e-4, 'A1 is wrong.');\r\nassert(abs(A2_user - A2_ref) \u003c 1e-4, 'A2 is wrong.');","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T22:22:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T22:20:50.000Z","updated_at":"2026-08-26T15:33:55.000Z","published_at":"2026-08-23T22:20:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis time we have two circles! The shape is given below:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExplanation(if needed):O1O2 is the line that connects the centers of both circles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips:1) You can draw a line somewhere on this shape if you want.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2) The circles are 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61448,"title":"Gometry time2!(easy to medium)","description":"Given the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\r\n         \r\nFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\r\n2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(https://en.wikipedia.org/wiki/Triangular_number)\r\n3) Theta will be in degrees this time!\r\nTip: L = perimeter.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 31.5px; text-align: left; transform-origin: 445px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 191.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 95.9px; text-align: left; transform-origin: 445px 95.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"202\" height=\"149\" style=\"vertical-align: baseline;width: 202px;height: 149px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Triangular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); row-rule-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Triangular_number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3) Theta will be in degrees this time!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: L = perimeter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp)\r\n  \r\nend","test_suite":"%%\r\nA_tp = 6;\r\ntheta = 360;\r\ny_correct = 2 + 2*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nA_tp = 12;\r\ntheta = 720;\r\ny_correct = 4 + 8*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nfor i = 1:10\r\n    theta_test = randi([10, 350]);          \r\n    A_tp_test = randi([12, 600]);           \r\n    ref_fn = @(t,a) (a/6)*(2 + t*pi/180);\r\n    expected_L = ref_fn(theta_test, A_tp_test);\r\n    user_L = FIND_THE_PERIMETER_OF_THE_SECTION(theta_test, A_tp_test);\r\n    assert(abs(user_L - expected_L) \u003c 1e-6, ...\r\n        sprintf('Failed for theta = %g and A_tp = %g', theta_test, A_tp_test));\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T20:35:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T17:05:01.000Z","updated_at":"2026-08-26T15:41:36.000Z","published_at":"2026-08-23T17:05:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"149\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"202\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e         \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"186\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Triangular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Triangular_number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3) Theta will be in degrees this time!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: L = perimeter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.png\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":50447,"title":"Calculate Triangle Area, A, B and Gamma is given.","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 359px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 179.5px; transform-origin: 407px 179.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate Triangle Area:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e A\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eB \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e Gamma\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e [degree] is given as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 209px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 104.5px; text-align: left; transform-origin: 384px 104.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                               \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"269\" height=\"209\" style=\"vertical-align: middle;width: 269px;height: 209px\" 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data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e   \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRound the answer to four decimal places\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaTriangle(A, B, Gamma)\r\n\r\nend","test_suite":"%% \r\nA = 4; B = 6; Gamma = 56.45; % [degree]\r\ny_correct = 10.0008\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n\r\n%%\r\nA = 5.7; B = 8.9; Gamma = 132; % [degree]\r\n\r\ny_correct = 18.8499\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n\r\n%%\r\nA = 48.3; B = 643; Gamma = 8; % [degree]\r\n\r\ny_correct = 2161.1425\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n\r\n%%\r\nA = pi; B = 2*pi; Gamma = 43; % [degree]\r\n\r\ny_correct = 6.7311\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":33,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T16:05:19.000Z","updated_at":"2026-07-23T15:14:34.000Z","published_at":"2021-02-18T16:05:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate Triangle Area:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e A\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eB \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e Gamma\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [degree] is given as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                  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the area of ​​the square.","description":"Four circles are inscribed in the square ABCD. The perimeter of each circle is *aπ*.\r\n\r\n\u003c\u003chttp://imgfz.com/i/UzgCJut.png\u003e\u003e\r\n\r\nGiven *a*, obtain the area of ​​the square.\r\n","description_html":"\u003cp\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e.\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/UzgCJut.png\"\u003e\u003cp\u003eGiven \u003cb\u003ea\u003c/b\u003e, obtain the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(a)\r\n     y = a;\r\nend","test_suite":"%%\r\na = 0;\r\ny = 0;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 8;\r\ny = 256;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 1;\r\ny = 4;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 10;\r\ny = 400;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 50;\r\ny = 10000;\r\nassert(isequal(squartArea(a),y))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":108,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:09:51.000Z","updated_at":"2026-07-24T11:36:23.000Z","published_at":"2020-05-18T03:09:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.JPEG\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaπ\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, obtain the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray 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12.5;\r\nassert(abs(square_area(x)-y_correct)\u003c1e-4)","published":true,"deleted":false,"likes_count":4,"comments_count":4,"created_by":134267,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":252,"test_suite_updated_at":"2017-05-31T18:18:43.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2017-05-16T16:59:29.000Z","updated_at":"2026-08-04T17:07:19.000Z","published_at":"2017-05-16T17:01:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a square whose diagonal length is given as x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":47828,"title":"Circle : Square","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 20.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.4px; transform-origin: 407px 10.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area_ratio(x)\r\n  y =\r\nend","test_suite":"%%\r\nx = 6.76;\r\ny_correct = pi;\r\nassert(isequal(area_ratio(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":564784,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":117,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-05T15:46:44.000Z","updated_at":"2026-08-14T03:27:11.000Z","published_at":"2020-12-05T15:46:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":46948,"title":"area","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 20.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.4px; transform-origin: 407px 10.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003efind the area of a cube of side \"x\"\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 6;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 24;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":430136,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":220,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-19T15:10:51.000Z","updated_at":"2026-08-07T13:50:03.000Z","published_at":"2020-10-19T15:10:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efind the area of a cube of side \\\"x\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44391,"title":"For a rectangle, if x is the length and 2x is width. Then find out x from the area of the rectangle?","description":"For a rectangle, if x is the length and 2x is the width. Then find out x from the area of the rectangle?\r\n\r\nif the area is equal to 200 then the length of the rectangle is 10.","description_html":"\u003cp\u003eFor a rectangle, if x is the length and 2x is the width. Then find out x from the area of the rectangle?\u003c/p\u003e\u003cp\u003eif the area is equal to 200 then the length of the rectangle is 10.\u003c/p\u003e","function_template":"function y = length_of_rect(A)\r\n  y = A;\r\nend","test_suite":"%%\r\nA = 200;\r\ny_correct = 10;\r\nassert(isequal(length_of_rect(A),y_correct))\r\n\r\n%%\r\nA = 32;\r\ny_correct = 4;\r\nassert(isequal(length_of_rect(A),y_correct))\r\n\r\n%%\r\nA = 18;\r\ny_correct = 3;\r\nassert(isequal(length_of_rect(A),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":93545,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":111,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-10-26T09:21:07.000Z","updated_at":"2026-07-13T15:31:46.000Z","published_at":"2017-10-26T09:21:07.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a rectangle, if x is the length and 2x is the width. Then find out x from the area of the rectangle?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif the area is equal to 200 then the length of the rectangle is 10.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":49657,"title":"Determine the area of square if length of the diagonal is given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe have to find the area of square if the length of the diagonal of a square is given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 4;\r\ny_correct = 8;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":822117,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":78,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-29T15:05:52.000Z","updated_at":"2026-07-23T15:23:15.000Z","published_at":"2020-12-29T15:05:52.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe have to find the area of square if the length of the diagonal of a square is given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44505,"title":"Calculating Ring Area","description":"In two-dimensional space, a ring can be constructed by using two concentric circles.  Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.","description_html":"\u003cp\u003eIn two-dimensional space, a ring can be constructed by using two concentric circles.  Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\u003c/p\u003e","function_template":"function area = RingArea(r1,r2)\r\n  area = r1+r2;\r\nend","test_suite":"%%\r\nr1 = 4;\r\nr2 = 5;\r\ny_correct = 28.27433;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n%%\r\nr1 = 7.5;\r\nr2 = 8.25;\r\ny_correct = 37.11006;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":109,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-24T18:16:13.000Z","updated_at":"2026-07-16T05:43:06.000Z","published_at":"2018-01-24T18:16:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2378,"title":"Area of a triangle","description":"A triangle is given with base *'b'* ,vertical hight *'h'* . then find it's area.","description_html":"\u003cp\u003eA triangle is given with base \u003cb\u003e'b'\u003c/b\u003e ,vertical hight \u003cb\u003e'h'\u003c/b\u003e . then find it's area.\u003c/p\u003e","function_template":"function A = trg_area(b,h)\r\n  A=f(b,h);\r\nend","test_suite":"%%\r\nb = 1;\r\nh=5\r\ny_correct = 2.5;\r\nassert(isequal(trg_area(b,h),y_correct))\r\n\r\n%%\r\nb = 1;\r\nh=10\r\ny_correct = 5;\r\nassert(isequal(trg_area(b,h),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":0,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1005,"test_suite_updated_at":"2014-07-07T12:31:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-06-18T17:40:40.000Z","updated_at":"2026-08-14T17:22:23.000Z","published_at":"2014-06-18T17:40:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangle is given with base\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'b'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ,vertical hight\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'h'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e . then find it's area.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60750,"title":"Area of a rectangle","description":"FInd the area of a rectangle with a length L and width W. Round to the nearest integer.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFInd the area of a rectangle with a length L and width W. Round to the nearest integer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = your_fcn_name(L,W)\r\n  A = ;\r\nend","test_suite":"%%\r\nL = 1;\r\nW = 1;\r\nA_correct = 1;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 3;\r\nW = 6;\r\nA_correct = 18;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 4.5;\r\nW = 5;\r\nA_correct = 23;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 482.2;\r\nW = 572.34;\r\nA_correct = 275982;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 3542113582974;\r\nW = 0;\r\nA_correct = 0;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4700639,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":38,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-10-18T20:19:06.000Z","updated_at":"2026-08-18T10:12:33.000Z","published_at":"2024-10-18T20:19:06.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFInd the area of a rectangle with a length L and width W. Round to the nearest integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45195,"title":"Calculate the area of a circle","description":"Given a circle of diameter x calculate its area","description_html":"\u003cp\u003eGiven a circle of diameter x calculate its area\u003c/p\u003e","function_template":"function y = areaOfCircle(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = pi * 0.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct = pi * 56.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 20;\r\ny_correct = pi * 100;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 100;\r\ny_correct = pi * 2500;\r\nassert(isequal(areaOfCircle(x),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":348097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":158,"test_suite_updated_at":"2019-11-05T16:44:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-05T16:37:48.000Z","updated_at":"2026-07-28T08:15:23.000Z","published_at":"2019-11-05T16:44:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a circle of diameter x calculate its area\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45333,"title":"Area-01","description":"Given the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\r\n\r\n","description_html":"\u003cp\u003eGiven the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\u003c/p\u003e","function_template":"function y = inscribed_circle(r)\r\n  y = x;\r\nend","test_suite":"%%\r\nr = 1;\r\ny_correct = 0.8584;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 5;\r\ny_correct = 21.4602;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 0;\r\ny_correct = 0;\r\nassert(isequal(inscribed_circle(r),y_correct))\r\n%%\r\nr = 12.1;\r\ny_correct = 125.6794;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":68,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-16T18:24:27.000Z","updated_at":"2026-05-30T03:51:00.000Z","published_at":"2020-02-16T18:24:41.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44308,"title":"Component area","description":"Find the area of the component below, all measurements are in mm\r\n\r\n\u003c\u003chttps://image.ibb.co/hocruF/Component.png\u003e\u003e","description_html":"\u003cp\u003eFind the area of the component below, all measurements are in mm\u003c/p\u003e\u003cimg src = \"https://image.ibb.co/hocruF/Component.png\"\u003e","function_template":"function A = your_fcn_name(h,w,r)\r\n A = h,w,r;\r\nend","test_suite":"%%\r\nh = 50;\r\nw = 20;\r\nr = 12;\r\nA_correct = (h*w)-((pi*r^2)/2);\r\nassert(isequal(your_fcn_name(h,w,r),A_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":137065,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":89,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-09-10T12:15:22.000Z","updated_at":"2026-07-23T15:12:30.000Z","published_at":"2017-09-10T12:15:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of the component below, all measurements are in mm\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" 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\"}]}"},{"id":2402,"title":"Area of a Square ","description":"Inside a square is a circle with radius r.\r\n\r\nWhat is the area of the square?\r\n\r\n","description_html":"\u003cp\u003eInside a square is a circle with radius r.\u003c/p\u003e\u003cp\u003eWhat is the area of the square?\u003c/p\u003e","function_template":"function A = area_sqr(r)\r\n  A= ;\r\nend","test_suite":"%%\r\nr = 2;\r\ny_correct = 16;\r\nassert(isequal(area_sqr(r),y_correct))\r\n\r\n%%\r\nr = 3;\r\ny_correct = 36;\r\nassert(isequal(area_sqr(r),y_correct))\r\n\r\n%%\r\nr = 25;\r\ny_correct = 2500;\r\nassert(isequal(area_sqr(r),y_correct))","published":true,"deleted":false,"likes_count":10,"comments_count":1,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":866,"test_suite_updated_at":"2014-07-02T18:36:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-02T18:34:11.000Z","updated_at":"2026-08-25T12:27:30.000Z","published_at":"2014-07-02T18:36:38.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInside a square is a circle with radius r.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the area of the square?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":51173,"title":"Squares inside a square! ","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 99.7778px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 49.8889px; transform-origin: 406.5px 49.8889px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 40.8889px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 20.4444px; text-align: left; transform-origin: 383.5px 20.4444px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIf you have a square has a side (x) that is divided into four squares. Two of those squares carries smaller squares inside them. Each side carries 5 squares. Find the area of one of these small squares. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = squares_inside_square(x)\r\n  y = ;\r\nend","test_suite":"%%\r\nx = 500;\r\ny_correct = 2500;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n\r\n%%\r\nx = 100;\r\ny_correct = 100;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n\r\n%%\r\nx = 50;\r\ny_correct = 25;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n\r\n%%\r\nx = 30;\r\ny_correct = 9;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":995198,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":72,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-03-24T11:45:55.000Z","updated_at":"2026-07-07T17:40:33.000Z","published_at":"2021-03-24T11:45:55.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you have a square has a side (x) that is divided into four squares. Two of those squares carries smaller squares inside them. Each side carries 5 squares. Find the area of one of these small squares. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":48000,"title":"Lateral Area of a Right Rectangular Pyramid","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven the length (l) and width (w) of the rectangular base along with the height (h) of a pyramid, determine the lateral area of a right rectangular pyramid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area(l,w,h)\r\n  y = l^2+w^2+h^2;\r\nend","test_suite":"%%\r\nl = 1; w=1; h=1;\r\ny_correct = 2.2361;\r\nassert(isequal(area(l,w,h),y_correct))\r\n%%\r\nl = 2; w=2; h=12;\r\ny_correct = 48.1664;\r\nassert(isequal(area(l,w,h),y_correct))\r\n%%\r\nl = 12; w=3; h=1;\r\ny_correct = 39.8816;\r\nassert(isequal(area(l,w,h),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-17T03:05:41.000Z","updated_at":"2026-05-30T19:07:18.000Z","published_at":"2020-12-17T03:05:41.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the length (l) and width (w) of the rectangular base along with the height (h) of a pyramid, determine the lateral area of a right rectangular pyramid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61070,"title":"Square area to triangle area","description":"Given the area, A, of a square with side length, c, if a right angle triangle has the same area A and the hypothenuse length 2c (two times the square side), then find the height, h, of the triangle.\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 163.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 81.875px; transform-origin: 408px 81.875px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square with side length, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ec\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, if a right angle triangle has the same area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the hypothenuse length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2c \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(two times the square side), then find the height, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of the triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.75px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.875px; transform-origin: 392px 40.875px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; 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8;\r\nassert(isequal(find_height(A),h_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":5,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-09T16:09:35.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-09T13:39:12.000Z","updated_at":"2026-08-17T17:06:00.000Z","published_at":"2025-11-09T16:09:35.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square with side length, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, if a right angle triangle has the same area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and the hypothenuse length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2c \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(two times the square side), then find the height, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of the triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60566,"title":"Given a Polyshape_01 (ps) Return its Perimeter, Area, and Centroid.","description":"Return the perimeter (P) of a polyshape object, which is the sum of the lengths of its boundaries.\r\nReturn the total area (A) of a polyshape object, which is the sum of the areas of the solid regions that make up the polyshape.\r\nReturn the x-coordinate (Cx) and the y-coordinate (Cy) of the centroid of a polyshape. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 104.667px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 52.3333px; transform-origin: 407.5px 52.3333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.8333px; text-align: left; transform-origin: 384.5px 10.8333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eReturn the perimeter (P) of a polyshape object, which is the sum of the lengths of its boundaries.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43.3333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 21.6667px; text-align: left; transform-origin: 384.5px 21.6667px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eReturn the total area (A) of a polyshape object, which is the sum of the areas of the solid regions that make up the polyshape.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.8333px; text-align: left; transform-origin: 384.5px 10.8333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eReturn the x-coordinate (Cx) and the y-coordinate (Cy) of the centroid of a polyshape. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"%%\r\nfunction [P, A, Cx, Cy] = PolyShape_01(ps)\r\n    % Return the perimeter (P) of a polyshape object, which is the sum\r\n    % of the lengths of its boundaries.\r\n    \r\n    % Return the total area (A) of a polyshape object, which is the sum\r\n    % of the areas of the solid regions that make up the polyshape.\r\n    \r\n    % Return the x-coordinate (Cx) and the y-coordinate (Cy) of the\r\n    % centroid of a polyshape. \r\n end","test_suite":"%% Test 1\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),1313))\r\n    assert(isequal(round(A,4),134508.0227))\r\n    assert(isequal(round(Cx,4),17))\r\n    assert(isequal(round(Cy,4),47))\r\n\r\n    \r\n%% Test 2\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),1313))\r\n    assert(isequal(round(A,4),134508.0227))\r\n    assert(isequal(round(Cx,4),254))\r\n    assert(isequal(round(Cy,4),-1676))\r\n\r\n    \r\n%% Test 3\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),177.255))\r\n    assert(isequal(round(A,4),2451.4087))\r\n    assert(isequal(round(Cx,4),34.29 ))\r\n    assert(isequal(round(Cy,4),-226.26))\r\n\r\n    \r\n%% Test 4\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[43, -220],'SideLength', 1.7));\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),206.155))\r\n    assert(isequal(round(A,4),2385.7031))\r\n    assert(isequal(round(Cx,4),34.0501))\r\n    assert(isequal(round(Cy,4),-226.4324))\r\n\r\n    \r\n%% Test 5\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[43, -220],'SideLength', 1.7));\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[20, -220],'SideLength', 1.7));\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),235.055))\r\n    assert(isequal(round(A,4),2319.9976))\r\n    assert(isequal(round(Cx,4),34.448))\r\n    assert(isequal(round(Cy,4),-226.6146))\r\n\r\n    \r\n%% Test 6\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[43, -220],'SideLength', 1.7));\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[20, -220],'SideLength', 1.7));\r\n    ps = subtract(ps,polyshape([20 30.1 40.1 45.1 50 45.2 40.2 30.2 27.2],[-235 -239 -239 -237 -235 -239 -241 -240.5 -240]));\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),300.0489))\r\n    assert(isequal(round(A,4),2274.2476))\r\n    assert(isequal(round(Cx,4),34.4235))\r\n    assert(isequal(round(Cy,4),-226.367))\r\n    \r\n    \r\n    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w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eReturn the perimeter (P) of a polyshape object, which is the sum of the lengths of its boundaries.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eReturn the total area (A) of a polyshape object, which is the sum of the areas of the solid regions that make up the polyshape.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eReturn the x-coordinate (Cx) and the y-coordinate (Cy) of the centroid of a polyshape. 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sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 232px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 116px; text-align: left; transform-origin: 384px 116px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"269\" height=\"226\" style=\"vertical-align: baseline;width: 269px;height: 226px\" 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\" 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9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Round the answer to four decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHint: use Bretschneider's formula\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaQuadrilateral(a,b,c,d,e,f)\r\n\r\nend","test_suite":"%%\r\na = 4; b = 4; c = 4; d = 4; \r\ne = 4*sqrt(2); f = 4*sqrt(2);\r\n\r\ny_correct = 16;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 3; b = 3; c = 3; d = 3; \r\ne = 3*sqrt(3); f = 3;\r\n\r\ny_correct = 7.7942;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 5; b = 5; c = 8; d = 8;\r\ne = 4+sqrt(55); f = 6;\r\n\r\ny_correct = 34.2486;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 97.7; b = 76.6; c = 110; d = 66.5; \r\ne = 151.7; f = 91.6;\r\n\r\ny_correct = 6341.4175;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":21,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T20:12:44.000Z","updated_at":"2026-05-31T01:02:10.000Z","published_at":"2021-02-18T20:25:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"226\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Round the answer to four decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: use Bretschneider's 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45538,"title":"Find the area of ​​the square","description":"There are *n²* circles inscribed in the square ABCD. The perimeter of each circle is *aπ*\r\n\r\n\u003c\u003chttp://imgfz.com/i/3wzCeAT.png\u003e\u003e\r\n\r\nGiven *n* and *a*, find the area of ​​the square.","description_html":"\u003cp\u003eThere are \u003cb\u003en²\u003c/b\u003e circles inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/3wzCeAT.png\"\u003e\u003cp\u003eGiven \u003cb\u003en\u003c/b\u003e and \u003cb\u003ea\u003c/b\u003e, find the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(n,a)\r\n  y = n+a;\r\nend","test_suite":"%%\r\na = 8;\r\nn = 5;\r\ny = 1600;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 0;\r\nn = 10;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 100/pi;\r\nn = 6;\r\ny = 36476;\r\ntolerance = 1e-12; \r\nassert(abs(36476-y)\u003ctolerance)\r\n%%\r\na = 15;\r\nn = 0;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 10;\r\nn = 2;\r\ny = 400;\r\nassert(isequal(squartArea(n,a),y))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":61,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:38:49.000Z","updated_at":"2026-05-30T14:17:46.000Z","published_at":"2020-05-18T03:38:49.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en²\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e circles inscribed in the square ABCD. The perimeter of each circle is\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaπ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 21px; text-align: left; transform-origin: 383.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 192.067px 7.81667px; transform-origin: 192.067px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou have Ring which consist of inner and outer Circles with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 126.742px 7.81667px; transform-origin: 126.742px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eRadius r and R which are not given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.1833px 7.81667px; transform-origin: 59.1833px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.5917px 7.81667px; transform-origin: 96.5917px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the Area of the Ring\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(d)\r\n  area = d;\r\nend","test_suite":"%%\r\nd = 3;\r\narea_correct = 28.2743;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 5;\r\narea_correct = 78.5398;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 8;\r\narea_correct = 201.0619;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 15;\r\narea_correct = 706.8583;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 17;\r\narea_correct = 907.9203;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":4033021,"edited_by":223089,"edited_at":"2024-06-12T15:22:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2024-06-12T15:22:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2024-04-07T14:03:59.000Z","updated_at":"2026-07-17T03:30:19.000Z","published_at":"2024-04-07T14:20:37.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou have Ring which consist of inner and outer Circles with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRadius r and R which are not given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the Area of the 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44742,"title":"Find the area of a triangle having vertices (A,B), (C,D), and (E,F)","description":"Find the area of a triangle using if we have the three vertices of the triangle","description_html":"\u003cp\u003eFind the area of a triangle using if we have the three vertices of the triangle\u003c/p\u003e","function_template":"function A = triarea(x1,y1,x2,y2,x3,y3)\r\nA=b*h/2","test_suite":"%%\r\nx1 = 1;y1=1;x2=0;y2=0;x3=2;y3=0;\r\ny_correct = 1;\r\nassert(isequal(triarea(x1,y1,x2,y2,x3,y3),y_correct))\r\n%%\r\nx1 = 2;y1=1;x2=5;y2=1;x3=4;y3=3;\r\ny_correct = 3;\r\nassert(isequal(triarea(x1,y1,x2,y2,x3,y3),y_correct))\r\n%%\r\nx1 = 4;y1=0;x2=7;y2=2;x3=2;y3=3;\r\ny_correct = 6.5;\r\nassert(isequal(triarea(x1,y1,x2,y2,x3,y3),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":38144,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":45,"test_suite_updated_at":"2018-10-04T21:31:40.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-10-04T21:07:54.000Z","updated_at":"2026-05-30T00:32:30.000Z","published_at":"2018-10-04T21:31:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a triangle using if we have the three vertices of the triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":50489,"title":"Find the area between curves (P1)","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 715.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 357.75px; transform-origin: 407px 357.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20px; border-block-end-color: rgb(60, 60, 60); border-block-start-color: rgb(60, 60, 60); border-bottom-color: rgb(60, 60, 60); border-inline-end-color: rgb(60, 60, 60); border-inline-start-color: rgb(60, 60, 60); border-left-color: rgb(60, 60, 60); border-right-color: rgb(60, 60, 60); 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between curves - Problem 1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 24.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 12.25px; text-align: left; transform-origin: 384px 12.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the area between the curves \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eb\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e coefficients:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaCurves(a, b)\r\n  \r\nend","test_suite":"%%\r\nfiletext = fileread('AreaCurves.m');\r\nfor ii = [3.5773, 6.1773, 5.5773, 11.2970]\r\n    assert(isempty(strfind(filetext, num2str(ii))), ... \r\n    'Do NOT use provided answers in your solution')\r\nend\r\n%%\r\na = 1; \r\nb = 1;\r\n\r\ny_correct = 3.5773;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = 3; \r\nb = 0.3; \r\n\r\ny_correct = 6.1773;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = -1;\r\nb = 4;\r\n\r\ny_correct = 5.5773;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = pi;\r\nb = exp(1);\r\n\r\ny_correct = 11.2970;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-19T12:36:27.000Z","updated_at":"2026-05-31T01:02:17.000Z","published_at":"2021-02-19T12:40:47.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"heading\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea between curves - Problem 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area between the curves \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(x) = x^2\\\\, \\\\mathrm{e}^{- x^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x) = a\\\\, x + b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e over the interval [0 2] for different \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e coefficients:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                                                                                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"420\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"560\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                        plot of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea=b=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e)          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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":50452,"title":"Calculate Triangle Area: A, B and Beta is given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 275px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 137.5px; transform-origin: 407px 137.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate Triangle Area: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eB\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBeta\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e [degree] is given as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 215px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 107.5px; text-align: left; transform-origin: 384px 107.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                            \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"269\" height=\"209\" style=\"vertical-align: baseline;width: 269px;height: 209px\" 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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Round the answer to four decimal places\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaTriangle(A, B, Beta)\r\n\r\nend","test_suite":"%% \r\nA = 4; B = 4; Beta = 45; % [degree]\r\n\r\ny_correct = 8\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n\r\n%%\r\nA = 6.39; B = 4.9; Beta = 32.9; % [degree]\r\n\r\ny_correct = 15.3134\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n\r\n%%\r\nA = 257; B = 567; Beta = 23.8; % [degree]\r\n\r\ny_correct = 41099.6329\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n\r\n%%\r\nA = 2*pi; B = 3*pi; Beta = 56.3; % [degree]\r\n\r\ny_correct = 29.6088\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T16:37:21.000Z","updated_at":"2026-05-31T01:02:07.000Z","published_at":"2021-02-18T16:44:29.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate Triangle Area: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBeta\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [degree] is given as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"209\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Round the answer to four decimal 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the area of the four walls ","description":"If length, breadth and height of the walls are given, find the area of the four walls.","description_html":"\u003cp\u003eIf length, breadth and height of the walls are given, find the area of the four walls.\u003c/p\u003e","function_template":"function a = your_fcn_name(l,b,h)\r\n  %your code\r\nend","test_suite":"%%\r\nl = 1;\r\nb = 1;\r\nh = 1;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(l,b,h),y_correct))\r\n\r\n%%\r\nl = 20;\r\nb = 10;\r\nh = 15;\r\ny_correct = 900;\r\nassert(isequal(your_fcn_name(l,b,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":22816,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":295,"test_suite_updated_at":"2014-04-14T15:16:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-04-14T05:59:25.000Z","updated_at":"2026-07-18T03:26:20.000Z","published_at":"2014-04-14T05:59:25.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml 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Considering the vertical shift of its vertex to the origin, find the positive constant, k, that scales the shifted parabola such that its area over the interval [-a; a] (a\u003e0) will be equal to the area under the original parabola (see figure below).\r\ninput: (p, a)\r\noutput: k\r\n\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 447.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 223.9px; transform-origin: 408px 223.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLet \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e be a quadratic polynomial, with its axis of symmetry being the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ey\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-axis. Considering the vertical shift of its vertex to the origin, find the positive constant, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, that scales the shifted parabola such that its area over the interval \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[-a; a] (a\u0026gt;0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be equal to the area under the original parabola (see figure below).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(p, a)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 255.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 127.9px; text-align: left; transform-origin: 384px 127.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"326\" height=\"250\" style=\"vertical-align: baseline;width: 326px;height: 250px\" 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\" alt=\"Scale parabola\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = scale_parabola(p, a)\r\n  k = x;\r\nend","test_suite":"%%\r\np = [1 0 1];\r\na = 2;\r\nk_correct = 7/4;\r\nassert(isapprox(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [1 0 -1];\r\na = 2;\r\nk_correct = 0.25;\r\nassert(isapprox(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [5 0 0];\r\na = 0.5;\r\nk_correct = 1;\r\nassert(isequal(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\nfiletext = fileread('scale_parabola.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\np = [-3 0 1];\r\na = 1;\r\nk_correct = 0;\r\nassert(isequal(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [-3 0 2];\r\na = 1;\r\nk_correct = -1;\r\nassert(isequal(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [-3 0 2];\r\na = 3;\r\nk_correct = 7/9;\r\nassert(isapprox(scale_parabola(p,a),k_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":4993982,"edited_by":4993982,"edited_at":"2026-01-16T14:57:57.000Z","deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":"2026-01-16T14:57:57.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-01-10T14:36:03.000Z","updated_at":"2026-07-08T09:10:51.000Z","published_at":"2026-01-15T14:52:59.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLet \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e be a quadratic polynomial, with its axis of symmetry being the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e-axis. Considering the vertical shift of its vertex to the origin, find the positive constant, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, that scales the shifted parabola such that its area over the interval \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[-a; a] (a\u0026gt;0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be equal to the area under the original parabola (see figure below).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput: 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area?","description":"Your friend has a ranch with four distinct boundary lines. Three boundary lines are ideal straight roads: (1) North Club Road, (2) East Cathedral Road,  and (3) North Market Road. The fourth boundary line is the Threadwater Canal. The length of the second boundary line is exactly one mile. You have visualized that any point on the Threadwater Canal is defined by cartesian coordinates x and y in miles, where x is its distance from North Club Road, and y is its distance from East Cathedral Road. A surveyor has found the function y(x) for you. She also told you that one square mile is 640 acres. She wants you to calculate the area of this ranch in acres.","description_html":"\u003cp\u003eYour friend has a ranch with four distinct boundary lines. Three boundary lines are ideal straight roads: (1) North Club Road, (2) East Cathedral Road,  and (3) North Market Road. The fourth boundary line is the Threadwater Canal. The length of the second boundary line is exactly one mile. You have visualized that any point on the Threadwater Canal is defined by cartesian coordinates x and y in miles, where x is its distance from North Club Road, and y is its distance from East Cathedral Road. A surveyor has found the function y(x) for you. She also told you that one square mile is 640 acres. She wants you to calculate the area of this ranch in acres.\u003c/p\u003e","function_template":"function acres = ranch(y)\r\n  acres=y(1)^2;\r\nend","test_suite":"%%\r\ny=@(x)1+x/10^10;\r\nacres=round(ranch(y));\r\nacres_correct = 640;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)0.5+x/10^10;\r\nacres=round(ranch(y));\r\nacres_correct = 320;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)1+x;\r\nacres=round(ranch(y));\r\nacres_correct = 960;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)2+sin(x);\r\nacres=round(ranch(y));\r\nacres_correct = 1574;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)3+cos(x);\r\nacres=round(ranch(y));\r\nacres_correct = 2459;\r\nassert(acres==acres_correct)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":53,"test_suite_updated_at":"2012-02-29T07:24:36.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-29T03:37:08.000Z","updated_at":"2026-05-25T22:35:43.000Z","published_at":"2012-02-29T07:24:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour friend has a ranch with four distinct boundary lines. Three boundary lines are ideal straight roads: (1) North Club Road, (2) East Cathedral Road, and (3) North Market Road. The fourth boundary line is the Threadwater Canal. The length of the second boundary line is exactly one mile. You have visualized that any point on the Threadwater Canal is defined by cartesian coordinates x and y in miles, where x is its distance from North Club Road, and y is its distance from East Cathedral Road. A surveyor has found the function y(x) for you. She also told you that one square mile is 640 acres. She wants you to calculate the area of this ranch in acres.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":56255,"title":"Area under the curve","description":"Compute area under the curve specified by points stored in y, where y is in range (0,inf) and x time step is 1. \r\nnote: please round the result to 4 decimals.\r\nexample: y=[1 2 3 5 8 9 10]\r\n                area=32.5000","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 111px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 55.5px; transform-origin: 407px 55.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCompute area under the curve specified by points stored in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ey, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ey\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is in range (0,inf) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ex\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e time step is 1. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003enote: please round the result to 4 decimals.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eexample: y=[1 2 3 5 8 9 10]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                area=32.5000\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(y)\r\n  area= 'Your solution'\r\nend","test_suite":"%%\r\nx = [1 2 3 5 8 9 10];\r\ny_correct = 32.5000;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\n\r\nx = [43    10    27    16    29    45    53    46    88    52    95    64    96    25    68    29    68];\r\ny_correct = 798.5000;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\n\r\nx=[70     7    26    23    67    85    35    79    68     1];\r\ny_correct = 425.5000;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\n\r\nx=[0.993183755212665   0.480756369506705   0.827750131864470   0.603238265822881   0.817841681068066   0.955547170535556   0.650378193390669 0.627647346270777   0.646563331304310   0.062133128691720];\r\ny_correct = 6.1374;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":1739584,"edited_by":1739584,"edited_at":"2022-10-10T12:14:42.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-10T12:13:31.000Z","updated_at":"2026-06-03T00:17:11.000Z","published_at":"2022-10-10T12:14:42.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute area under the curve specified by points stored in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e is in range (0,inf) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e time step is 1. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enote: please round the result to 4 decimals.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eexample: y=[1 2 3 5 8 9 10]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e                area=32.5000\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60166,"title":"Recursive triangle area","description":"Given triangle 1 with sides of length a, b, and c.  Triangle 2 is constructed within triangle 1 by bisecting each side.  Triangle 3 is constructed within triangle 2 by bisecting each of triangle 2's sides.  And so on. \r\nFind the area of triangle n.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 71.9661px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 359.492px 35.9766px; transform-origin: 359.499px 35.9831px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 41.9792px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 336.497px 20.9896px; text-align: left; transform-origin: 336.497px 20.9896px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven triangle 1 with sides of length a, b, and c.  Triangle 2 is constructed within triangle 1 by bisecting each side.  Triangle 3 is constructed within triangle 2 by bisecting each of triangle 2's sides.  And so on. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.9896px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 336.497px 10.4948px; text-align: left; transform-origin: 336.497px 10.4948px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of triangle n.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(a,b,c,n)\r\n  area = a+b+c+n;\r\nend","test_suite":"%%\r\na=1;b=1;c=sqrt(2);n=1;\r\ny_correct = 0.50;\r\nassert(your_fcn_name(a,b,c,n) - y_correct \u003c y_correct/1000)\r\n\r\n\r\n%%\r\na=100;b=100;c=100;n=2;\r\ny_correct = 1082.53;\r\nassert(your_fcn_name(a,b,c,n) - y_correct \u003c y_correct/1000)\r\n\r\n\r\n%%\r\na=13;b=33;c=44;n=4;\r\ny_correct = 2.0540;\r\nassert(your_fcn_name(a,b,c,n) - y_correct \u003c y_correct/1000)","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":3293343,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-04-30T18:08:43.000Z","updated_at":"2026-06-05T02:44:24.000Z","published_at":"2024-04-30T18:08:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven triangle 1 with sides of length a, b, and c.  Triangle 2 is constructed within triangle 1 by bisecting each side.  Triangle 3 is constructed within triangle 2 by bisecting each of triangle 2's sides.  And so on. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of triangle n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2944,"title":"Areas","description":"Given certain dimensions determine the area of that shape. If given only one value assume its the radius. Use round(x) to round each area\r\n\r\nx= [2 2 4 4]\r\n\r\narea = 8 \r\n\r\nx=[3 4 5]\r\n\r\narea = 6","description_html":"\u003cp\u003eGiven certain dimensions determine the area of that shape. If given only one value assume its the radius. Use round(x) to round each area\u003c/p\u003e\u003cp\u003ex= [2 2 4 4]\u003c/p\u003e\u003cp\u003earea = 8\u003c/p\u003e\u003cp\u003ex=[3 4 5]\u003c/p\u003e\u003cp\u003earea = 6\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = round(x);\r\nend","test_suite":"%%\r\nx = 5;\r\ny_correct = 79;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [2 2 2 2];\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [5 12 13];\r\ny_correct = 30;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [2 6 2 6];\r\ny_correct = 12;\r\nassert(isequal(your_fcn_name(x),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":33703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":84,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-04T17:37:46.000Z","updated_at":"2026-08-19T11:43:27.000Z","published_at":"2015-02-04T17:37:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven certain dimensions determine the area of that shape. If given only one value assume its the radius. Use round(x) to round each area\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex= [2 2 4 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003earea = 8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=[3 4 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003earea = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45337,"title":"Area-03","description":"There are two circles of equal size are inscribed inside a square. They are tangent to each other.\r\n\r\n\u003chttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003e\r\n\r\nGiven the side length of the square, find the radius of the circles.","description_html":"\u003cp\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\"\u003ehttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eGiven the side length of the square, find the radius of the circles.\u003c/p\u003e","function_template":"function y =inscribed_circle_3(a)\r\n  y = x;\r\nend","test_suite":"%%\r\na = 1;\r\ny_correct = .2929;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 10;\r\ny_correct = 2.9289;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 23.6;\r\ny_correct = 6.9123;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 0;\r\ny_correct = 0;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = pi;\r\ny_correct = 0.9202;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T06:35:50.000Z","updated_at":"2026-05-30T03:51:06.000Z","published_at":"2020-02-17T06:36:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the side length of the square, find the radius of the circles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":50504,"title":"Find the area between curves (P3)","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 541px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 270.5px; transform-origin: 407px 270.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20px; border-block-end-color: rgb(60, 60, 60); border-block-start-color: rgb(60, 60, 60); border-bottom-color: rgb(60, 60, 60); border-inline-end-color: rgb(60, 60, 60); border-inline-start-color: rgb(60, 60, 60); border-left-color: rgb(60, 60, 60); border-right-color: rgb(60, 60, 60); border-top-color: rgb(60, 60, 60); caret-color: rgb(60, 60, 60); color: rgb(60, 60, 60); column-rule-color: rgb(60, 60, 60); font-family: Helvetica, Arial, sans-serif; font-size: 20px; font-weight: 700; line-height: 20px; margin-block-end: 5px; margin-block-start: 3px; margin-bottom: 5px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 3px; outline-color: rgb(60, 60, 60); perspective-origin: 384px 10px; text-align: left; text-decoration: none; text-decoration-color: rgb(60, 60, 60); transform-origin: 384px 10px; white-space: pre-wrap; margin-left: 4px; margin-top: 3px; margin-bottom: 5px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eArea between curves - Problem 3\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the area enclosed by the curves \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"87.5\" height=\"18\" style=\"width: 87.5px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaCurves(a, b)\r\n  \r\nend","test_suite":"%%\r\nfiletext = fileread('AreaCurves.m');\r\nfor ii = [0.4208, 0.5101, 0.2569, 0.1252, 1.1838]\r\n    assert(isempty(strfind(filetext, num2str(ii))),'Do NOT use provided answers in your solution')\r\nend\r\nassert(isempty(strfind(filetext, 'if')),'if: Forbidden')\r\nassert(isempty(strfind(filetext, 'switch')),'switch: Forbidden')\r\n%%\r\na = 1; \r\nb = 0.5;\r\n\r\ny_correct = 0.4208;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = 2; \r\nb = 0.5; \r\n\r\ny_correct = 0.5101;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = exp(1); \r\nb = 1; \r\n\r\ny_correct = 0.2569;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = 0.5;\r\nb = 0.4;\r\n\r\ny_correct = 0.1252;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = sqrt(2);\r\nb = 0.1;\r\n\r\ny_correct = 1.1838;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-19T18:50:42.000Z","updated_at":"2026-05-31T01:02:20.000Z","published_at":"2021-02-19T18:51:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"heading\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea between curves - Problem 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area enclosed by the curves \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(x) = sin(ax)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x) = bx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for different \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e coefficients\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml 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cow is tied to an outside corner of a rectangular barn of size (a,b) with a rope of length l. What is the maximum area the cow can graze outside the barn?\r\n\r\n\u003chttps://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\u003e\r\n\r\nNb.the test cases are simpler for this problem. They'll be enhanced in the next case.","description_html":"\u003cp\u003eA cow is tied to an outside corner of a rectangular barn of size (a,b) with a rope of length l. What is the maximum area the cow can graze outside the barn?\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\"\u003ehttps://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eNb.the test cases are simpler for this problem. They'll be enhanced in the next case.\u003c/p\u003e","function_template":"function y = grazing_01(a,b,l)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(abs(grazing_01(10,20,5)-58.9049)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(5,25,2)-9.4248)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(5,25,8)-157.8650)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(20,20,20)- 942.4778)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(10,20,0)-0)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(12,20,25)-1624.9888)\u003c0.001)\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":3,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-20T10:45:47.000Z","updated_at":"2026-05-30T03:51:19.000Z","published_at":"2020-02-20T11:20:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA cow is tied to an outside corner of a rectangular barn of size (a,b) with a rope of length l. What is the maximum area the cow can graze outside the barn?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNb.the test cases are simpler for this problem. They'll be enhanced in the next case.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61451,"title":"Geometry time 5! (Hard)","description":"In the following shape you are requested to find the radius of the circle(r):\r\n\r\nFurther explanation: 1) ABCD and pink shape are squares.\r\n2)The area of the small square (A) will be given. \r\nNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 314.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 157.4px; text-align: left; transform-origin: 445px 157.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"308\" height=\"309\" style=\"vertical-align: baseline;width: 308px;height: 309px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eFurther explanation: 1) ABCD and pink shape are squares.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2)The area of the small square (A) will be given. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = circle_radius(A)\r\n    \r\nend","test_suite":"%%\r\nA = 16;\r\ny_correct = 2.3431;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA_test = rand() * 499 + 1; \r\nr_user = circle_radius(A_test);\r\nk = 2 - sqrt(2); \r\nr_expected = sqrt(A_test) * k;\r\nassert(abs(r_user - r_expected) \u003c 1e-6, ...\r\n    'Test failed for random area input A = %g.', A_test);\r\n%%\r\nA = 25;\r\ny_correct = 2.9289;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 121;\r\ny_correct = 6.4437;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 10000;\r\ny_correct = 58.5786;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T15:20:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T11:30:44.000Z","updated_at":"2026-08-26T15:37:39.000Z","published_at":"2026-08-24T11:30:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"308\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFurther explanation: 1) ABCD and pink shape are squares.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2)The area of the small square (A) will be given. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNO TIPS. GOOD 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left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 207.5px 8px; transform-origin: 207.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of a five-pointed star inscribed in a circle of radius r.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y =yoonir_02(r)","test_suite":"%%\r\nassert(abs(yoonir_02(10)-112.257)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(3)-10.1031)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi)-11.0793)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi^5)-105126.4832)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(1)-1.1226)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-14T09:16:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":26,"test_suite_updated_at":"2023-01-14T09:16:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-31T00:21:25.000Z","updated_at":"2026-07-10T11:27:01.000Z","published_at":"2020-03-31T00:21:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a five-pointed star inscribed in a circle of radius r.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49072,"title":"Area Conversion 2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 10.5px; transform-origin: 332px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven an area in hectares, convert it to acres.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x*713*pi;\r\nend","test_suite":"%%\r\nx = 121;\r\ny_correct = 299.0031;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 333;\r\ny_correct = 822.8763;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 1.2;\r\ny_correct = 2.9653;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":2,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":868,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T21:57:51.000Z","updated_at":"2026-08-25T15:42:08.000Z","published_at":"2020-12-22T21:57:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an area in hectares, convert it to acres.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45271,"title":"Calculate triangle area","description":"Imagine that you want to calculate the areas of some triangles given in matrix form. First the coordinates of the vertices of the triangles are in a matrix called coords where the line number represents the vertex number and the column number is the dimension, in this case it is equal to 2 (x, y). The way the nodes connect are found in the lnods matrix where the line number is the triangle number and the column number is the vertex number that makes up each triangle (v_i, v_j, v_k).","description_html":"\u003cp\u003eImagine that you want to calculate the areas of some triangles given in matrix form. First the coordinates of the vertices of the triangles are in a matrix called coords where the line number represents the vertex number and the column number is the dimension, in this case it is equal to 2 (x, y). The way the nodes connect are found in the lnods matrix where the line number is the triangle number and the column number is the vertex number that makes up each triangle (v_i, v_j, v_k).\u003c/p\u003e","function_template":"function y =areas(coords,lnods)\r\n  y = ?;\r\nend","test_suite":"%%\r\ncoords=[0 0;1 0; 1 1; 0 1];\r\nlnods=[ 1 2 4; 2 3 4];\r\ny_correct = [0.500;0.500];\r\nassert(isequal(areas(coords,lnods),y_correct))\r\n%%\r\ncoords=[0 0;1 0; 1 1; 0 1; 0.5 0.5];\r\nlnods=[ 1 2 5; 2 3 5;3 4 5;4 1 5];\r\ny_correct = [0.2500;0.2500;0.2500;0.2500];\r\nassert(isequal(areas(coords,lnods),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":396229,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-19T02:12:33.000Z","updated_at":"2026-05-30T04:52:04.000Z","published_at":"2020-01-19T02:17:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eImagine that you want to calculate the areas of some triangles given in matrix form. First the coordinates of the vertices of the triangles are in a matrix called coords where the line number represents the vertex number and the column number is the dimension, in this case it is equal to 2 (x, y). The way the nodes connect are found in the lnods matrix where the line number is the triangle number and the column number is the vertex number that makes up each triangle (v_i, v_j, v_k).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2239,"title":"Avalaible area: wall construction","description":"You need to build a wall to enclose a certain area. Calculate the available area after you build the wall. \r\n\r\nAssumptions\r\n\r\n* Wall could consist of multiple layers of material. example: a wall of 2 materials: rock of 1 meter thickness and wood of 0.5 meter thickness. The total thickness of the wall 1.5 meters.\r\n* x and y: the dimensions of the area before the wall is build. example: x=5m,y=4m. Total area 20m^2.\r\n\r\nExample\r\n\r\nArea of dimensions x=5m,y=5m and wall of 3 materials with thicknesses: 0.2m,0.1m,1m . Avalaible area after the wall is build : 5.76m^2\r\n\r\n \u003e\u003e AvailableArea(5,5,0.2,0.1,1) \r\n \u003e\u003e ans=5.76\r\n","description_html":"\u003cp\u003eYou need to build a wall to enclose a certain area. Calculate the available area after you build the wall.\u003c/p\u003e\u003cp\u003eAssumptions\u003c/p\u003e\u003cul\u003e\u003cli\u003eWall could consist of multiple layers of material. example: a wall of 2 materials: rock of 1 meter thickness and wood of 0.5 meter thickness. The total thickness of the wall 1.5 meters.\u003c/li\u003e\u003cli\u003ex and y: the dimensions of the area before the wall is build. example: x=5m,y=4m. Total area 20m^2.\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eExample\u003c/p\u003e\u003cp\u003eArea of dimensions x=5m,y=5m and wall of 3 materials with thicknesses: 0.2m,0.1m,1m . Avalaible area after the wall is build : 5.76m^2\u003c/p\u003e\u003cpre\u003e \u0026gt;\u0026gt; AvailableArea(5,5,0.2,0.1,1) \r\n \u0026gt;\u0026gt; ans=5.76\u003c/pre\u003e","function_template":"function A = AvailableArea(x,y,varargin)\r\n %A=..\r\nend","test_suite":"%%\r\ny_correct = 64;\r\nassert(isequal(AvailableArea(10,10,1),y_correct))\r\n\r\n%%\r\n\r\ny_correct = 3844;\r\nassert(isequal(AvailableArea(70,70,1,2,1),y_correct))\r\n\r\n%%\r\n\r\ny_correct = 49;\r\nassert(isequal(AvailableArea(9,9,1),y_correct))\r\n\r\n%%\r\n\r\ny_correct = 3900;\r\nassert(isequal(AvailableArea(75,70,1,3,1),y_correct))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":24008,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":73,"test_suite_updated_at":"2014-03-10T20:27:07.000Z","rescore_all_solutions":false,"group_id":26,"created_at":"2014-03-08T16:23:45.000Z","updated_at":"2026-05-20T15:50:00.000Z","published_at":"2014-03-08T16:24:08.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou need to build a wall to enclose a certain area. Calculate the available area after you build the wall.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAssumptions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWall could consist of multiple layers of material. example: a wall of 2 materials: rock of 1 meter thickness and wood of 0.5 meter thickness. The total thickness of the wall 1.5 meters.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex and y: the dimensions of the area before the wall is build. example: x=5m,y=4m. Total area 20m^2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea of dimensions x=5m,y=5m and wall of 3 materials with thicknesses: 0.2m,0.1m,1m . Avalaible area after the wall is build : 5.76m^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ \u003e\u003e AvailableArea(5,5,0.2,0.1,1) \\n \u003e\u003e ans=5.76]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60999,"title":"Total Area Covered by Overlapping Polygons","description":"Given a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with the following vertex coordinates:\r\np1=[0.2,0.2; 0.5,0.2; 0.5,0.5; 0.2,0.5];\r\np2=[0.4,0.4; 0.8,0.4; 0.8,0.8; 0.4,0.8];\r\n\r\nThe total area covered is the area of the first polygon plus the area of the second polygon minus the overlap. This comes out to 0.24 units.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 617.571px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.997px 308.778px; transform-origin: 407.997px 308.785px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42.017px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21.0085px; text-align: left; transform-origin: 385px 21.0085px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with the following vertex coordinates:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0085px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.4972px; text-align: left; transform-origin: 385px 10.5043px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ep1=[0.2,0.2; 0.5,0.2; 0.5,0.5; 0.2,0.5];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0085px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.4972px; text-align: left; transform-origin: 385px 10.5043px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ep2=[0.4,0.4; 0.8,0.4; 0.8,0.8; 0.4,0.8];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 425.554px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 212.77px; text-align: left; transform-origin: 385px 212.777px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"560\" height=\"420\" style=\"vertical-align: baseline;width: 560px;height: 420px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.017px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21.0085px; text-align: left; transform-origin: 385px 21.0085px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe total area covered is the area of the first polygon plus the area of the second polygon minus the overlap. This comes out to 0.24 units.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0085px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.4972px; text-align: left; transform-origin: 385px 10.5043px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = lapgon(P)\r\n    A=[];\r\nend","test_suite":"%% Test Case 1\r\nP{1}=[0.2,0.2;0.5,0.2;0.5,0.5;0.2,0.5];\r\nP{2}=[0.4,0.4;0.8,0.4;0.8,0.8;0.4,0.8];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.240000;\r\n\r\nassert(isequal(A,A_correct))\r\n\r\n%% Test Case 2\r\nP{1}=[0.1783,0.2985;0.3849,0.6214;0.8407,0.8054];\r\nP{2}=[0.1112,0.8761;0.8927,0.4062;0.6089,0.0228];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.244813;\r\n\r\nassert(isequal(A,A_correct))\r\n\r\n%% Test Case 3\r\nP{1}=[0.5967,0.2763;0.3286,0.2200;0.7586,0.4690];\r\nP{2}=[0.4809,0.5456;0.5589,0.2875;0.5021,0.3001;0.2000,0.7725];\r\nP{3}=[0.4260,0.0843;0.0140,0.4489;0.5535,0.8630;0.4133,0.3718;0.8033,0.0733];\r\nP{4}=[0.0169,0.7757;0.1636,0.9072;0.7480,0.9785;0.2718,0.4179;0.8687,0.2735;0.0599,0.1064];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.459378;\r\n\r\nassert(isequal(A,A_correct))\r\n\r\n%% Test Case 4\r\ntheta=0:0.01:2*pi;\r\nP{1}(:,1)=0.35*cos(theta)+0.6;\r\nP{1}(:,2)=0.22*sin(theta)+0.5;\r\nP{2}=[0.1083,0.3508;0.7413,0.9426;0.2748,0.0933];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.307282;\r\n\r\nassert(isequal(A,A_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":4910069,"edited_by":4910069,"edited_at":"2025-09-12T18:34:35.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2025-09-12T18:34:35.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-09-12T17:15:15.000Z","updated_at":"2026-06-06T06:02:56.000Z","published_at":"2025-09-12T18:28:07.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with the following vertex coordinates:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ep1=[0.2,0.2; 0.5,0.2; 0.5,0.5; 0.2,0.5];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ep2=[0.4,0.4; 0.8,0.4; 0.8,0.8; 0.4,0.8];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"420\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"560\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe total area covered is the area of the first polygon plus the area of the second polygon minus the overlap. 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45407,"title":"Yoonir - 02","description":"Find the area of a six-pointed star inscribed in a circle of radius r.","description_html":"\u003cp\u003eFind the area of a six-pointed star inscribed in a circle of radius r.\u003c/p\u003e","function_template":"function y =yoonir_04(r)","test_suite":"%%\r\nassert(abs(yoonir_04(10)-173.2050)\u003c0.001)\r\n\t\r\n%%\r\nassert(abs(yoonir_04(20)-692.8203)\u003c0.001)\r\n\t\r\n%%\r\nassert(abs(yoonir_04(pi)-17.0946)\u003c0.001)\r\n\t\r\n%%\r\nassert(abs(yoonir_04(pi^4)-16434.6178)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":5,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":21,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-31T00:59:00.000Z","updated_at":"2026-07-13T10:38:56.000Z","published_at":"2020-03-31T00:59:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a six-pointed star inscribed in a circle of radius r.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61071,"title":"Generalizing square area to triangle area","description":"Cody Problem 61070 asked for the height, h, of a right triangle that had the same area, A, of a square with side length, c, and the hypothenuse length was correlated to the square side by x = 2. \r\nNow, find the height, h, of the right triangle that has the same area, A, of a square with side length, c, and the hypothenuse length is xc, for an arbitrary number x \u003e 2. Here, the height stands for the smallest cathetus.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 123px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 61.5px; transform-origin: 408px 61.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/61070-square-area-to-triangle-area\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eCody Problem 61070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asked for the height, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a right triangle that had the same area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square with side length, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ec\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hypothenuse length was correlated to the square side by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ex = 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNow, find the height, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of the right triangle that has the same area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square with side length, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ec\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hypothenuse length is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003exc\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, for an arbitrary number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ex \u0026gt; 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Here, the height stands for the smallest cathetus.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = find_height(A,x)\r\n  h = x;\r\nend","test_suite":"%%\r\nA = 9;\r\nx = sqrt(5);\r\nh_correct = 3;\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n\r\n%%\r\nA = 10;\r\nx = 3;\r\nh_correct = sqrt(5*(9-sqrt(65)));\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n\r\n%%\r\nA = 16;\r\nx = sqrt(5);\r\nh_correct = 4;\r\nassert(isequal(find_height(A,x),h_correct))\r\n\r\n%%\r\nfiletext = fileread('find_height.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 16;\r\nx = 3; \r\nh_correct = 4*sqrt((9-sqrt(65))/2);\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n\r\n%%\r\nA = 16;\r\nx = 5; \r\nh_correct = 4*sqrt((25 - sqrt(609))/2);\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-13T10:09:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2025-11-13T10:09:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-10T14:44:15.000Z","updated_at":"2026-08-17T17:46:55.000Z","published_at":"2025-11-12T17:58:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/61070-square-area-to-triangle-area\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody Problem 61070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asked for the height, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a right triangle that had the same area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square with side length, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hypothenuse length was correlated to the square side by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNow, find the height, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of the right triangle that has the same area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square with side length, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hypothenuse length is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exc\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, for an arbitrary number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex \u0026gt; 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Here, the height stands for the smallest cathetus.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61091,"title":"Slicing a 4-pointed star polygon","description":"Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the area, A_r, of the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \r\nGiven (A,h), find the 9×2 matrix, M = [A1 a1; A2 a2; ...; A8 a8; A_r/π n], where\r\nin the first row (i=1), A1 stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and a1 stands for the logical 1 if A1 does not exceed the circle's area, A_r, or a1 stands for the logical 0 otherwise;\r\nin the second row (i=2), A2 stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and a2 has the same previous false-true meaning relative to the areas A2 and A_r;\r\nand so on, until last slice of the 4-pointed star polygon;\r\nin the last row (i=9), A_r is the area of the circle, and n stands for the maximum number of slices that their cumulative area does not exceed the circle area.\r\nHint: The slices of the 4-pointed star polygon are not congruent among each other.\r\ninput: (A, h)\r\noutput: M = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 840.862px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 420.425px; transform-origin: 408px 420.431px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e9\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 143.062px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 71.525px; transform-origin: 391px 71.5312px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e does not exceed the circle's area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e otherwise;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand so on, until last slice of the 4-pointed star polygon;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the last row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=9)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the area of the circle, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 484.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 242.4px; text-align: left; transform-origin: 384px 242.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"479\" style=\"vertical-align: baseline;width: 601px;height: 479px\" 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x+VytbS0CCGSyWRHR0dHR8cnn3yya9cu43ODiWKxKrIEFgcVdp9yXJguawIlQmgSYzdNIpGQOUzDkWJRKvoEFvRxYV/Fd6RIC7+UYwIlGUK2jJokaw4lolgEij6BhiJroaFooqh6CweVQIkQWiDHHEpEseCok0BDsbbQUOhRVLSFQ0igRAgtM6gcSkTR4RRMoKHoW2go0Ciq1cIhJ1DiHKHFjBym7izNBVF0FJUTaFCnhYbCiqISLRxmAiWPx+P1egUhtJaRw7a2tiE8akTRRiQwlYItNBREFIv5moq8JFByuVyE0Bbjxyfq69t37qz2er3JZFK+y0/uuCTDeiQQaQrikowibGEeEyi5XK4JEyYIISZNihNC602b1nHiRNm+fR6v19vW1jbYHEpE0WwkEFk5OYrF08K8J1CSR4Qul8vjSc6aNYhTVsijWbPa4nFXa6vb6/V+8sknw/lRRDG/SCCGwIFRLOzzhbquCyHMSKDB2DjKe43arqnpnHjclfu20hz1Paeo6zqfMJyLpqamhoaGDN9AAg0qny/MRd9ziuFw2MqnYQG3MBwOL1261PhjfhNo8Hg8VVU9c+cenziRj+S12eHD5b/5TbUQIpFIJJP5/73E5XK53W7578FgkCPFzHRdnzNnTr9f8pT2nD0yWTuya1yp6gk0ROKjDya+/K+LFmZgRFEI0djYaNkGzEKdkeq6HgqFfInEoljMrLtwuZoqK3Uhbjz/+DfP+lxwTGi7s5LnXS5CW6vdbncgHvd3deX/LmIxIcSmyko5O+UAcSC6rmc4IrymInZtaVz0CNFj5aIcreVUz0G711AQklpSREQyqSWTNZs2baKFWUQikUgk4hMiYM7hoO5ybfJ6dZdL8ySD0zoEx4TOMPW87vBHFZFWd8TtbhzMFYeDEq6oiAgRDocbGxtNuotCJ5+AA331+fjot0pG3VzWPr/UlKdnIarq4feCLFy6y9PkqVx7USwWaIkHkklt69YloVDImpOIIyy4j7zTdX3lypXt7e3m3UXE7Y643ZonueGqfJ6awvBtvKpF8ySFEA1er3n30tbWJreEmHcXhSvtoLBmZE/NyPQX+sO9rp91e+cnznn59EkyYCAu3TUmNGbC1/+f+NnPWlo2dHQEk0lNCNHW1hgKhax5GhZeC+XzMBaLDW1vfU534XLJ19lgfbvGfhnnWT2rTXe5mjye8OnTe2ZoaWm58847zfv5BSothJUV4oYpJ1+7+PgtWhdFxGANVEEpmdTa24OhUMiClRReCyORyLZt2zo6zDrzbITQNz4RmMSEx4n8px+aO808NEwkEvv27cu8T1JBadPRs8f0TBwrhBC3agmKiNxlrqChoyO4dauwIIcF1kI5HR3UW1MOljEdbeRqQgdrnNWmeZK6yxUaM8a8e2lpaWFSmirtoHDUyB7/Bf9nBxNFRFY5VtBgzaS0kFrIdBSpVs9qE0KEqquZlFqjbwhn1p3o9zspIvo12ApK1kxKC6mFZk9HhRCh6mohhOZJMh11Pv/4hG98Qpx+1EzCpNSQNh31ViW9VZl+X6SIMAytggYLJqUF00ILpqNyO4Y4fcAB55Nz7IjbbfahIZPS3A8K01BExQ2zggazJ6WF0UILpqPi9B79wKS4fzxvllEYNE8yWN8uTN5EI5SflA45hAaKqKB8VVAye1JaGC20YDoaPr1lRr62olAEp3XITTTymN4kik9KBzsdHQhFVER+K2gwdVJaAC20YDoqTp9z8o1PsGWm4MhfX0w9aygUnpQO/6AwDUUsYiZV0GDepNTpLbRmOspBYUELTIpbcGgolJyU5j2EBopYZMyuoGTepNTpLbRgOio4KCx88pcYU9+VTSg5Kc3XdHQgFLEIWFNBg0mTUke30JrpKAeFRUAeGgohLDg0VGdSat5BYRqKWKAsrqDBjEmpc1tozXRUcFBYLOSvMpsqK82+I0UmpZaF0EARC4hdFZTMmJQ6t4XWTEd1l0seFAbqzPocRFhDvj2C2dcaCmUmpWZPRwdCER3O3goa8j4pdWgLrZmOitMHhTWeJNcUFgEjh2bfUdFPSq0/KExDER3IIRU05HdS6sQWWjYdNXYecqawOMjHsamyUneZ/iHVRTwptT2EBoroEE6roJTfSakTW2jNdFScPoDQOCgsFpon6RufsODiClHUk1K7pqMDoYg2cmYFDXmclDquhZZNR8XpfRacKSwmi+piwvzr7qWinJQ656AwDUW0mMMraMjXpNRZLbRsOipSds34OCgsIsYHjJi9g0YqskmpY0NooIgWKJQKSvmalDqrhZZNR8XpC9HYNVN8ZA6bzL+4QhTdpNRp09GBUESTFFYFDXmZlDqohVZOR4UQ4YoKcXqkhmLiP7tLmH/RvaFoJqXOPyhMQxHzqEAraBj+pNQpLbRyOipSLyvkM3uLjvEeNNaMSUVRTEoLLoQGijhMhV5BafiT0pxauGfPnuXLl0+ePLm2tvbiiy++++67o9HokO+yX1ZOR8XpHaQ1vNFMkZLngK0Zk4qimJQWynR0IBRxCIqjgoZhTkqzt3DLli3f/va3t27dOn369Ouuu27s2LEvvPDCsmXL8phDi6ej4vQOUjlMQ/GRj6wFF90bCnpSWrgHhWkoYo6KrIKG4UxKs7Swra1t3bp1lZWVzz333IYNGx566KHXXnutoaHhwIEDq1evTibz8JujxdNRIYTuckVdLnH66AHFR46+dZfLgovuDQU6KS2aEBooYgbFWkFpOJPSLC18//33P/roo2uuuWb69OnyltLS0uuvv/7CCy/csWPHsWPHhnCXaSyejorTL5FcYl/c5C86Vh4aFuiktNCnowOhiGmKu4KGIU9Ks7Tw8OHDVVVV06ZNKykpMW4sLy+vqqoa9Br7Y/10VJx+feSgsLjJMancLWyZgpuUFt9BYRqKKJSpoGFok9IsLbzhhhvefffdBQsWpN740Ucf7d69u6am5owzzhj0MlNYPx2V5OsjbzdT3Kz5OMO+CmhSWvQhNChbRNUqKA1tUjroaypisVgoFDpx4sSiRYs8w3uhsX46Kk5fTWHlPcIWxtUyVp4yFAU1KS3W6ehAlCqimhU0DGFSOriXiXg8fu+99zY3Ny9evHj+/PmZv1nX9bSjVL/fn/pV66ej4vQrIycLVaB5kqJDRNxuLW7pVaRyUhoIBFL/g3cadQ4K09yqJW7VEo/o7t+0jYx+8X8OBmQR15dU31zWPr+0UK88dukuT5Oncu1FsVigJR5QKoGp2toaQ6E5Pp8vx6fhIFrY3t5+++23v/XWWwsWLLjnnnvKysoyf3/fEyfGmuyajgquLFSJb3yiKe4JV1QErG2hOD0pffPNNy2+3xwpG0JDURaRCqYyJqV5buHevXtXrFixd+/e5cuXNzQ0ZA2hECIYDAYCgX6/ZMt0VJInC7myUAX+s7ua9tkz8jImpY2NjbYsIDPVpqMDKZoiUsF+dXQEt24Nh0KhYDCY9ZtzOl/Y3Ny8dOnSjz/++Mc//vFdd92VSwgzsGs6mopNpCqosWn7jOTYPaUcFKYp6POIip8XzCr3PaXZW7hjx46VK1d2d3c/+uijN954Y2lp6XBWZuN0VDI+v9eWe4eVjFPCFm+fMThwTykhHEjBFZEK5iL3PaVZWhiNRuUz5+mnn77yyiuHvzIbp6MiZeMMLVSEfKDtaqED95QyHc2sIIpIBQclxz2lWV4jXnzxxf3795eXl99+++2pl9sLISZOnLhu3Tqv15v7mmyfjtr1mgi7+MYn9H2eqH2Pu6P2lHJQmCPHnkfkvODQ5LKnNNNrRDwef/vtt4UQ3d3dfd+Ju6SkpLe3N/fV2D4dFULI10Q2karG3t+BHLKnlBAOlqOKSAWHI5c9pZleIzwez4YNG/K1Gnuno5J8TWQTqTrkVlJ9eLu9hskhe0qZjg6N7UWkgnmRdU+pRZ/la/t09Mtl2PqaCLvYPhu3fU8pB4XDZMt5RM4L5lfmPaVWtNAJ09FUbJxRh5yH23i+0GDjnlJCmC+WFZEKmiHznlIrWuiE6aikc75QMfbuI01l455SpqP5ZWoRqaCpMuwpNb2FDpmOSk44PoCVHDUDsGVSykGhSfJeRCpojYEmpea20GnTUeP6QrsXAkVZPCklhGbLSxGpoJUGmpSa20LnTEehOCeMSYXlk1Kmo9bIpYh/6Onno+KooC36nZSa+AKh6/ratWsdMh1NxXEhbGTZ1fdpB4VCiD/Xuk58kedff784JaLlI6L5/rGFaIG3e4G3+1G9Ynunq+/VF2nfzJUS9up79b2JLQyFQs6ZjkJZmiepxx1xUGiw5ur7vkefr7w72qT7ahRm/eSiVNlUSQXt1ffqexNfI5LJpKOmow6ZkgEWXH0fDodTp6Nwlo/PSyR8QgiPp8nupSgtEokYV9+b20LzfvgQaA5bD1Rm9rOj75smwjlmJff5T+6yexVO11RZ+T+JxMmTJ036+WVlZcmkW9d1+UcTW+h2u8eMGeOoQ0PACTwez+TJk019S7ZAILBp0yYODR1ISyY3trTYvYoCEK6o2G7mWba0p6GJLQwGg6FQKJFIcMoQNnLayUKXy1VdXb169Wqz76ixsXHOnDmpt5x79PK834vL5bqgvPxbn3+e959ciI6M6Pqw/FizO3qktJ83PdaSyWB7eyBu9adboC+Xy3XxxRenPg1NfJnQNC0YDK5atarFYb8E6XEXW0lhl+rq6uuvv96Cj3CST8DUjeMxd7T6xKT83kt5abn3lOvMU4P4yJqidKS063/Kjv161D4q6Hwul8vr9abt5TZ3J3QwGLz88svHjBlj6r0AWTnkbLEF09FUwWDQ5/MZf2wfta+r7Jg1d62OI6Vdze7og2PefrJqV98QaslkY1vbm598Qgidw+12T5o0Ke0DK0y/KqixsbG6utrt7uc6U+s55AURlnHUgNSy6WiqtO62VbFlI2+oYCHqOx2VTG+hHNRUV1ebfUe5c9TrIyzgkN+BLJuOppJPQOOPydKu9lH7rFxAUaKCBarf6ahkxbtFOGdSWpNMCiGitFAZzvm9x+LpaCompXlEBQtav9NRyaJ3TnLIpFQeHzjn9RHWqLH7uNCW6WgqJqXDRwUL3UDTUcmiFjpkUqqdPCmE0E/w6faqiLQ64kS1LdPRVExKh4MKFoEM01HJunfUdcKk1CHnjWAxf1c/29wtY+N0NBWT0iGggkUjw3RUsvTd5R0yKXXIsQIsEP60Qtj6O5Dt09FUTEpzRwWLSebpqGRpC22flPoSCcH5QsVoyaSN5wttn46mYlKaCypYZLJORyWrP3XM3kmpcXxADlWgx12RVrfuctl1XOiQ6WgqJqUZUMGilHU6KtnwCZz2TkrlyyJjUnVoyaQtLXTUdDQVk9K+qGCxymU6KtnQQnsnpYxJ1SEfZbsGpI6ajqZiUpqKChaxHKejkg0tFLZOSuWWQi6rUIE8+rdlE6kDp6OpmJQKKqiAHKejkj0tFHZPSpv2eWy5X1hJbiL1Wf6RYY6djqZSeVJKBVWQ+3RUsq2Fdk1Kjf++GZMWN7lxxpa7dux0NJWak1IqqIhBTUcl21oo7JuUsn1GBfJ3HV8i4bf2uNDh09FUSk1KqaBSBjUdlexsobBpUiqHZnKAhmJly+86BTEdTaXCpJQKqmaw01HJ5hbaMimVmyk4ZVjc5O86i2IxK++0IKajqYp7UkoFFTSE6ahkcwuFHZNSThkWPeNkoZUXVBTQdDRVUU5KqaCyhjAdlexvobBjUirHpJwyLFbytxwtmbTsZGHBTUdTFdOklAqqbGjTUckRLbR+UipHZ5wyLFahndVCiICFA9KCm46mKo5JKRVU3JCno5IjWigsn5TK50PTPg9j0uJjDEgtu7KwQKejqQp6UkoFIYYxHZWc0kJh+aSUMWmxsnhAWtDT0VSFOCmlgpCGMx2VHNRCiyeljEmLVdP+SmHhQWFBT0dTFdaklArCMMzpqOSgFgprJ6WBeFxLJhmTFhk97pJXy1hzsrAIpqOpCmJSSgWRZpjTUclZLRTWTkpreAOaomPlgLRopqOpnDwppYLoa/jTUclxLbRyUirHpA3bvBbcF6xh5Q7SopmOpnLmpJQKol95mY5KjmuhsHBSajxzwhwaFgW5g1RLJi04WVhk09FUjpqUUkFkkJfpqOTEFgoLJ6VfXlyxv9LsO4IF5EFhjfkDA+ndigAAGEBJREFU0qKcjqZywqSUCiKzfE1HJYe20LJJabC9XXChYVEwds3Ix9RURTkdTWXvpJQKIqs8Tkclh7ZQWDUpNeZp8pAChUvugbJg10wRT0dT2TIppYLIUR6no5JzWyismpRyaFgE9LhL/jZj9kFh0U9HU1k5KaWCyF1+p6OSo1tozaTUn0jIQ0M+xalwRVrdetylJZNmv1YW/XQ0lTWTUiqIQcn7dFRydAuFVZNSeXEFY9ICZdlBoSLT0VSmTkqpIIYg79NRyektFJZMSgPxuDw05FrDQmTNQaFS09FUZkxKqSCGxozpqFQALbRmUspZwwJl2UGhUtPRVPmdlFJBDJlJ01GpAFooLJmUGmcNmZQWFvnri9kHhQpOR1PlZVJKBTFMJk1HpcJoobBkUmocGvI2NIXCOChc3dZm3r0oOx1NNZxJKRXE8Jk3HZVyamE0Gl2xYsXkyZNra2tnz579z//8zydPnjRpQQOxYFLqTyTks5FDw0Ihz+/6EglTrylUdjqaamiTUiqIvDB1Oiplb+Hu3bsXLlz47//+79OnT1+4cGEymfzZz3527733Wp9DCyaljW1tQohIq5vrK5wv3OqW7z5q6plCxaejqQY1KaWCyCNTp6NSlhaePHnyscceO378+C9+8YsNGzasWbPm9ddfnz179ubNm8PhsHnLGogFk1KZw4ZtXjbROJked91p/kEh09E0uUxKqSDyy+zpqJSlhQcOHAiHw36//4orrpC3VFZWBoPB8vLy3/72t729vaYuri8LJqVcX1EQjC0zjWaeKWQ6mibzpJQKIu8smI5KWVr44YcfHj169NJLL62oqDBuPP/88zVN++CDD9rNfxPkvqyclLKJxpnCrW4LtswwHe1X2qT007LdsRGfUUGYxILpqJSlha2trUKIyZMnp95YXl4+ZsyY48ePx236L9vsSalxCmrpqxOYlDqNMR0NxONMR22R9vvBtpF/oIIwgzXTUSlLC//0pz/1vXHUqFHjx4+Px+PHjx83Z1VZyEFNZaWJHzoY7OhgUupMoZ3VFkxHKysrmY4OJG1SeqS0iwrCDNZMR6UsBz39bhYtKSkZMSL7BtS+m2sCgUDuK8ssGAyGw+Hotm1NHrM2fPq7uiJud6TV/ffvjQ1cyvPZESL/8+UWX18iYd5Dr7tcLpfL7/fLk+Um3UtBk0/ASCTS71d9iYR8j1/zHiMoQtM0a56GWVpYVlbW98be3t6enp6sP1rX9bQc5rGFQohgMBgSoiESEUIkk8mEGeOyeNzj8fzy3dHHzu2ZOLE7/z8fgxGPu555a5wQIh6P/0qIX6Wcwx4+12lCHvcEAjU1NYQwg8bGxjlz5qTdKM+b/E6I3+X10YEiXC6XcfJLPg19Pp+maVbcdeYvf+UrX+l744kTJ1pbWz0ez+jRozP83UWLFuU3fmn8fr/f79d1vampKRwOb9u2LRaLJZPJvJ/F9Hg8v/lNdSDwiceTzO9PRu7icderr44TQrS3t3d0dOTrx8r+VVZWut1uTdMCgYDP5yOBudA0rbGxsaGhQf57IBBoamr6+OOPY7FYIpEw5XdTFCmZwIqKCuNpGAgErEng/64h85dlC/ft2/eNb3zDuLG7u7ujo2P06NEeBwxA5KmLYDBoUhTb2trk4/TqqxMCgU+G/wMxBPG4a9s2bzzuSiaTeQmhkUCPx0MCh0z+76bruvyfzngaEkXkwkig8TS0PoGGkszXCO7du/eGG26YOnXqY489ZlxWsX379u9///vXXHPN6tWrS0pK+v2LS5YsMfu4cCB5j6LL5TrnnHOEEOPHJ666qiVPy8Qg7NgxZufO6mQy2dbWNpzXVhJoGaKIgTgqgYYsLezq6goGg2+++WZjY+O1115bUlISi8VuvfXWt99++8knn7zssssG+os2ttCQxyi63e4JEyYIISZNis+aZeL2RfRlhLC9vX1ojyAJtBFRhOTMBBqytFAIsWPHjh/84AcdHR0zZsyYOHFic3PzZ599tnjx4vvuu6/fnTWSE1poyEsUjRzOmtU2aRLbSi2yb59n2zavGNJpQhLoKERRTQ5PoCF7C4UQBw8e/PnPf97c3Nzd3T1x4sSbb755yZIlGUIoHNZCwzCj6PF4vF6vIIdWGVoISaDDEUUVFEoCDTm1cAic2ULDkKPo9XrljqGrrmoZP54nsInicVdT0zlCiHg83pbDZfUksOAQxeJTcAk0KNpCwxCiSA4tkHsISWARIIqFrnATaFC9hYZBRZEcmiqXEJLAokQUC0sRJNBAC9PlGEUjh5w7zC/jHGG/ISSBiiCKTlZMCTTQwgFljaKRw/r69mnT8vZOKCqTl0+IPiEkgcoiis5RlAk00MLsMkRxzJgx8oOFue5w+IwQGrtGSSAMRNEuxZ1AAy0chH6jaFxowbvSDFk87tq3z2OEMB6Pk0AMhChaQ5EEGmjhUKRFsaysTA5LPZ7krFlt7KYZlHjc9eqrE+JxlxAikUgkk0kSiFwQRTOolkADLRwWI4qpH+TGbprctba6X311gvFHEoghIIrDp2wCDbQwP4xno67rgtOHOUidi5JA5AVRHCwSaKCFeRYKhUKhkBDC40lefnn7xInd3d18CPD/GjFixIgRIxIJ98svj+vsHCGEkB+5Zfe6UFSIYmYksC9amH/hcPjOO++UB4g+X9fMmZ93d3f39PSoHEWZwPLy8vLy8nDYHYlUiNOHg4QQ5iGKqUhgBrTQFLquNzQ0yJOIVVU9N95YrWnJQ4cOqRbF1ARWVVVVVZ0bCv1J111CCJ/Pt3HjRrsXCFWoHEUSmAtaaKJwOLx06VL578Fg/Y03nr9794fRqF70UUxL4JQpU4UYE4kkQqGdgsNB2EqdKJLAQaGF5pJPPHkGUdM8gUBdMFjf2dlZlFHsm0BNq9E0ralpfyi0U9fjQgifz9fY2MgTErYr1iiSwKGhhVbQdX3p0qXyDKKmeVavnuX3ny2EKI4oDpRAIYSuxxsatkUinwoh5DZRDgfhNMURRRI4TLTQOsYWU/F/iygKM4oZEiiE0PV4KLSzqWm/YCiKAlGIUSSB+UILLZU6MhVCaJonGKwPBOqMb3B+FDMnUPRXQZ6cKCzOjyIJzDtaaIO+RZTnEVO/x2lRzCWBkcinmzbtkxNRTdN8Pl8wGOT5icLltCiSQPPQQtv0W8RAoE7TPKnfZm8UsyZQCKHr8aam/U1N++XuGCqI4mNvFEmgBWihzdKKKAY4TBTWRjHHBEYin4bDrXIcKpiIQgFWRpEEWokWOkU4HJbPMeMWn+9sv3+8lVEcWgKFEJqmBYNBHm6ow7wokkBb0EJnSXuPb0keKfp84419p1K+oph7Ao3TgacXxntqQ3X5iiIJtBctdKh+Pw1K0zw1NaP8/vFpXRxaFLNeFCGE6HsIKE6fEQwEAiQQMAwtiiTQIWih0/UbRUnTPD7f2Zrm0TRPTY3H7z87lyj2m0Ahxggh5DFfONwqjwL/731pNTU1fr+fo0Ags1yiSAKdhhYWEvkck/8c6HvksWMsFhOio7LyVFoOZQVjsVIhRGVlpRBjotET8hCwvx+l+Xw++U/6BwxW3ygmk0kS6Ey0sFDpuq7rujxYlEeNmqalnmUcLHnkp2ma3++X/8JTFMiL1H0AJNCZaGFRkYGMRqPy340b075NPgnlP8keALjsXgDyiaoBwBCMsHsBAADYjBYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKC6nFq4Z8+e5cuXT548uba29uKLL7777ruj0ajZKwMAwBrZW7hly5Zvf/vbW7dunT59+nXXXTd27NgXXnhh2bJl5BAAUBxcmb/c1ta2bt26ysrKxx9//JJLLhFCnDp1av369WvWrFm9evXatWtdriw/AQAAh8tyXPj+++9/9NFH11xzzfTp0+UtpaWl119//YUXXrhjx45jx46Zv0IAAMyVpYWHDx+uqqqaNm1aSUmJcWN5eXlVVZXJCwMAwCJZJpw33HDDDTfckHbjRx99tHv37q9+9atnnHGGaQsDAMAig76mIhaLhUKhEydOLFq0yOPxmLEmAACsNLidL/F4/N57721ubl68ePH8+fMzf3M4HNZ1PfWWYDA46AUCAGCyQRwXtre333rrrS+99NKCBQvuueeesrKyzN+fFkIAAJzpy+PCeDx+8803h8Nh4wt+v3/9+vXGFHTv3r0rVqzYu3fv8uXLGxoasoZQCLFo0aJAIGDGogEAyKOcZqTNzc0rV66MxWI//vGPv/e975WWlpq9LAAALPNlCz0ez4YNG/r9jh07dqxcubK7u/vRRx+98sorLVwbAABWyHJcGI1GGxoahBBPP/20fN8ZAACKTJYWvvjii/v37y8vL7/99ttTL7cXQkycOHHdunVer9fM5QEAYLpMLYzH42+//bYQoru7u+87cZeUlPT29pq4NAAALJGphRlOIgIAUDT4LF8AgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKA6WggAUB0tBACojhYCAFRHCwEAqqOFAADV0UIAgOpoIQBAdbQQAKC6wbXw5MmTDQ0N9fX1u3btMmlBAABYbHAtfPnllzdv3mzSUgAAsMUgWrhnz55Vq1b19vaatxoAAKyXawu7urrWrFlTXV09c+ZMUxcEAIDFcm3hs88+29zcfMcdd2iaZuqCAACwWE4t3LFjx/r16xcuXHjFFVeYvB4AAKyWvYWxWOzhhx/2er3BYNDlclmwJgAArJSlbb29vRs3bnznnXeeeOIJr9c7qB+9adOmcDicektjY+OgFwgAgMmytHDHjh2PPPLI4sWLZ8+ePdgfrWma3+8f6sIAALDIly2Mx+M333xz6mGc3+9fvXr1/fffX1tbu2LFipKSksH+aL/fHwgE8rZSAADMkem48PDhwwcOHIjFYpdccknal77zne9UVlY+++yzF110kZnLAwDAdF+20OPxbNiwIe1ruq4HAoFEIpF6Yzgcjkajc+fOnThxYnV1tUXLBADANJmOCzVN++lPf5p24x133HH06NFbb72VI0IAQHHgcyoAAKqjhQAA1Q362vk1a9aYsQ4AAOzCcSEAQHW0EACgOloIAFAdLQQAqI4WAgBURwsBAKqjhQAA1dFCAIDqaCEAQHW0EACgOloIAFAdLQQAqI4WAgBURwsBAKqjhQAA1dFCAIDqaCEAQHW0EACgOloIAFAdLQQAqI4WAgBURwsBAKqjhQAA1dFCAIDqaCEAQHUF3EJd13Vdt3sVsJSu6+Fw2O5VwGo86Aqy+EEv7BY2NDTYvQpYbenSpXYvAVZbunQpv/iqJhQKWZnDAm4hAAB5QQsBAKqjhQAA1dFCAIDqXOb96HA4bOrpbl3Xo9FoKBQy7y7gTDzoCmpqarJ7CbBUNBptamqKRCKm3oumaYFAQAhR0tvba8YdNDU1se8LAOBkprcQAIBCwflCAIDqaCEAQHW0EACgOloIAFAdLQQAqI4WAgBURwsBAKqjhQAA1dFCAIDqCrKFe/bsWbx48QUXXFBXV/etb31ry5YtvHtOcdu7d+/MmTNr+3j88cftXhpM8f7778+YMeONN95Iu/3UqVO//e1vZ8+eXVtbO3ny5OXLlx88eNCWFSLvBnrQ/+Vf/qXvc7++vn7Xrl15vHcT35vbJG+88cbKlStPnjw5d+7ckSNHbt269Uc/+tFdd931gx/8oKSkxO7VwRS6rh89enT06NGVlZWpt6f9EcWhvb191apVR48eTbs9mUw+8MADzzzzjNfrXbhw4eHDh7du3bpz584nn3xy2rRptiwV+TLQgy6EeP/990tKSrxeb3l5uXFjZWWly5XPfhVYC9vb2x955BG32/3MM8/I//qj0eiyZcv+6Z/+6YorrvizP/szuxcIUxw4cEAI8fDDD8+dO9futcBcuq6vWLFi586dfb/0hz/8YfPmzbNmzXrkkUfkr0FbtmxZuXLlo48+GgqFKioqLF8s8iPDg37ixIloNHreeec999xzXq/XvDUU2Iz0vffe27179zXXXFNfXy9vqampue22244cOfIf//Ef9q4N5vnwww/HjBlz9tln270QmEjOPxcsWLBv376pU6emfbW3t3fLli1ffPHFTTfdZMwDvvnNb1511VWRSGTfvn2Wrxd5kPlBF0KcOHHiT3/6U01NzRlnnGHqSgqshdu3bz958qTP50sdh06ePHncuHHvvPPOF198YePaYJJ4PK7r+tlnnz1+/Hi71wIT7d69+yc/+UlpaekTTzxx7bXXpn21s7Nz586dZ5111gUXXGDc6HK5Zs6cGYvF3nvvPWsXi/zI/KALIVpaWtrb2+vq6kaNGmXqSgqsha2trZWVlZqmpd44evToioqKo0ePJhIJuxYG83R2dkaj0crKynXr1s2YMaO2tnbGjBmrVq3q7Oy0e2nIp9LS0u9973uvv/7617/+9b5f/eKLL44dO3bOOedUVVWl3i6nBS0tLRatEnmV+UEXQhw+fDgej/f09Cxfvnzy5Mlyv+Qrr7xy6tSp/K6kkM4Xnjhx4rPPPut7+xlnnDFhwoSWlhaOC4tSNBo9evRoNBo9cOCA3+8fOXJkc3PzE088sXXr1ieffLKmpsbuBSI/pk6d2u+UTDpy5Eg8Hu97u9fr9Xg8ra2tZi4NZsn8oAshPvjgAyHEs88+W1dXt2DBgmPHjr355pu33XbbkiVL7r333rKysnytpJBa2Nvbm0wm+/3SiBEFdoCL3B0/fnzkyJHf+c53fvrTn8r9EV1dXffff//zzz//j//4j3//93+f3+1kcKZTp071+/QfMWIEG8iL1alTpzo7Oz0ez89//vNrr71WPtAHDx68+eabX3zxxVmzZs2bNy9f91VICSkpKRnoVa+np8fixcAy3/jGN959990HH3zQ2ChYUVFxyy231NTUNDc39zsqQPEpLS3t9+nf09PD5cXFqrS09P7773/vvffmz59v/MZz/vnn33bbbclk8vXXX8/jQ19ILRw1atRZZ53V9/bPP/+8paVl7NixI0eOtH5VsEV1dfU555zT2dnZ7wVJKD5nnnmmx+Ppe3tbW1s8HmdflVLOO+88ORg/ceJEvn5mIbVQCHHeeefFYrFPP/009cbjx493dXWNGzfO7XbbtTCYKhaLnTx5su/tLpertLTU+vXAenJbQDQa/fzzz1Nvl68GEyZMsGldMNepU6eOHz/e7/Gfy+XK43i8wFo4bdq0srKy5ubm1P9pPvjggyNHjlx66aUcFxafZDL5ox/9aNq0aVu3bk29PRqN7t27lwst1OHxeKZMmdLa2vrhhx8aNyaTyf/+7/+urKz82te+ZuPaYJJDhw7NmTNnwYIFaXuj3n333Vgslt8LLQqshRdeeGFdXd0rr7zyxz/+Ud4SjUYfeeQRr9d75ZVX2rs2mMHlcl111VVCiF/96lft7e3yxvb29gceeODYsWN/8Rd/MXbsWFsXCOtceeWVJSUlTz31lPFfwuuvv/7GG2/4fL5JkybZuzaYYeLEiZdeeumhQ4deeukl4yKKP/zhD+vWrRs3blwgEMjjfRXYBjyv17tixYqVK1fecMMNc+bMke9HeuLEibvuuiv1ClwUk6uvvvr6669/7rnnLr/88ssvv1wIsXXr1ng8vmDBgiVLlti9OljH7/cvXLjwueeemzdv3uzZsw8fPrx9+/YxY8bccsstvAFbUXK5XHfeeefu3bsbGxs3bdo0Y8aMQ4cObd++vbS09IEHHvjzP//zfN5XHn+WNebNm3fmmWeuXr3697//fU9PT11d3cqVK6+++mr2VRersrKy++67b8aMGY899ti//du/CSHq6ur+5m/+5tprr83j1UVwPvlfwuTJk9evX7958+by8vLLL7/87/7u784//3y7lwaz1NTUPP/8848//vivf/3rF154QT7oK1asMN6GM19K2I4MAFBcgZ0vBAAg7/4/dKSOP0LtKKgAAAAASUVORK5CYII=\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = slicing_star(A,h)\r\n  M = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\nM_correct = [3 1; 6.75 1; 10.5 1; 13.5 1; 16.5 1; 20.25 0; 24 0; 27 0; 6.25 5];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\nM_correct = [3.75 1; 9 1; 14.25 1; 18 1; 21.75 1; 27 1; 32.25 1; 36 1; 12.25 8];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nfiletext = fileread('slicing_star.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 68;\r\nh = 1.2;\r\nM_correct = [7.75 1; 17 1; 26.25 1; 34 1; 41.75 1; 51 0; 60.25 0; 68 0; 13.69 5];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n\r\n%%\r\nA = 89;\r\nh = 2.6;\r\nM_correct = [9.5 1; 22.25 1; 35 1; 44.5 1; 54 1; 66.75 1; 79.5 1; 89 0; 26.01 7];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-12-08T13:42:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-12-03T13:58:16.000Z","updated_at":"2026-08-18T12:54:18.000Z","published_at":"2025-12-08T13:42:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e×\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e9\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e×\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e does not exceed the circle's area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e otherwise;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand so on, until last slice of the 4-pointed star polygon;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the last row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=9)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the area of the circle, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/r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of polygon","description":"Given the vertices in vectors X,Y, return the area of the polygon they define.","description_html":"\u003cp\u003eGiven the vertices in vectors X,Y, return the area of the polygon they define.\u003c/p\u003e","function_template":"function A = polygon_area(x,y)\r\n  A = x+y;\r\nend","test_suite":"%%\r\nL=linspace(0,2.*pi,9);\r\nx = 1.2*cos(L)';\r\ny = 1.2*sin(L)';\r\na_correct = 4.072935;\r\nassert( abs(polygon_area(x,y)-a_correct) \u003c 1e-04 )\r\n%%\r\nx = (1:10)';\r\ny = [0,ones(1,9)]';\r\na_correct = 4;\r\nassert( isequal(polygon_area(x,y),a_correct) )\r\n%%\r\nx=[0,5,3]';\r\ny=[0,0,9]';\r\na_correct = 22.5;\r\nassert( abs(polygon_area(x,y)-a_correct) \u003c 1e-04 )\r\n%%\r\nx=[0,5,3,11]';\r\ny=[0,0,9,126]';\r\na_correct = 162;\r\nassert( isequal(polygon_area(x,y),a_correct) )","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":85738,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":47,"test_suite_updated_at":"2016-10-05T06:02:53.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-05T05:00:48.000Z","updated_at":"2026-07-10T12:51:40.000Z","published_at":"2016-10-05T06:02:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the vertices in vectors X,Y, return the area of the polygon they define.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61455,"title":"Not yet geometry(square, rectangle and trapezium)","description":"Type the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\r\nTips:1)As a string A with space between the formulas.\r\n2)First the width and then the length of the rectangle.\r\n3)First the small base, then the big base and then the height of the trapezium.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 66px; transform-origin: 469px 66px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTips:1)As a string A with space between the formulas.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2)First the width and then the length of the rectangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3)First the small base, then the big base and then the height of the trapezium.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formulas(x)\r\n  \r\nend","test_suite":"%%\r\ny_correct = 'Asq=a^2 Arec=w*l Atr=(b+B)*h/2'\r\nassert(isequal(formulas(),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:54:38.000Z","updated_at":"2026-08-25T12:35:06.000Z","published_at":"2026-08-24T14:54:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTips:1)As a string A with space between the formulas.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2)First the width and then the length of the rectangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e3)First the small base, then the big base and then the height of the trapezium.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"problems":[{"id":61454,"title":"Not yet geometry(equilateral triangle)","description":"Type the formula of the area(A) of an equilateral triangle with a side of a.\r\nTip: As a string.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area(A) of an equilateral triangle with a side of a.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: As a string.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formula(x)\r\n     \r\nend","test_suite":"%%\r\ny_correct = 'a^2*sqrt(3)/4'\r\nassert(isequal(formula(),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:44:08.000Z","updated_at":"2026-08-25T12:31:57.000Z","published_at":"2026-08-24T14:44:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area(A) of an equilateral triangle with a side of a.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: As a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61456,"title":"Not yet geometry(Circles)","description":"Type the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\r\nTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formulacirc(x)\r\n    \r\nend","test_suite":"%%\r\ny_correct = 'Ac=pi*r^2 As=theta*r^2/2';\r\nassert(isequal(formulacirc(),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T20:15:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2026-08-24T20:15:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T15:03:31.000Z","updated_at":"2026-08-25T12:37:33.000Z","published_at":"2026-08-24T15:03:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area(Ac) of a circle with radius r and a sector of a circle(As) with radius r and angle theta in rads.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip:First the angle and then the radius for the area of the sector. Make a string and the formulas must have a space between them.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61453,"title":"Not yet geometry(triangles)","description":"Write the formula of the area of a triangle(A) that has a height of h and a base of b.\r\nTip: Write the formula as a string.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 25.5px; transform-origin: 469px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite the formula of the area of a triangle(A) that has a height of h and a base of b.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: Write the formula as a string.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formula(x)\r\n  \r\nend","test_suite":"%%\r\ny_correct = 'b*h/2';\r\nassert(isequal(formula(),y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:37:27.000Z","updated_at":"2026-08-25T21:01:35.000Z","published_at":"2026-08-24T14:37:27.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite the formula of the area of a triangle(A) that has a height of h and a base of b.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: Write the formula as a string.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61449,"title":"Geometry time3!(Medium)","description":"This time we have two circles! The shape is given below:\r\n\r\nYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\r\nExplanation(if needed):O1O2 is the line that connects the centers of both circles.\r\nTips:1) You can draw a line somewhere on this shape if you want.\r\n2) The circles are tangent.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 407.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 203.9px; transform-origin: 469px 203.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis time we have two circles! The shape is given below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 206.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 103.4px; text-align: left; transform-origin: 445px 103.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"309\" height=\"201\" style=\"vertical-align: baseline;width: 309px;height: 201px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eExplanation(if needed):O1O2 is the line that connects the centers of both circles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eTips:1) You can draw a line somewhere on this shape if you want.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2) The circles are tangent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [A1,A2] = find_the_circles_area(a,D)\r\n  \r\nend","test_suite":"%%\r\na = 7;\r\nD = 6;\r\nA1_exp = (pi*(7 + sqrt(13))^2)/4;\r\nA2_exp = (pi*(7 - sqrt(13))^2)/4;\r\n[A1_act, A2_act] = find_the_circles_area(a, D);\r\nassert(abs(A1_act - A1_exp) \u003c 1e-4, 'A1 is wrong.');\r\nassert(abs(A2_act - A2_exp) \u003c 1e-4, 'A2 is wrong.');\r\n%%\r\nD_val = randi([5, 50]);\r\na_val = D_val + randi([1, 20]);\r\nd = sort(roots([1, -2*a_val, D_val^2]), 'descend');\r\nA1_ref = (pi/4) * d(1)^2;\r\nA2_ref = (pi/4) * d(2)^2;\r\n[A1_user, A2_user] = find_the_circles_area(a_val, D_val);\r\nassert(abs(A1_user - A1_ref) \u003c 1e-4, 'A1 is wrong.');\r\nassert(abs(A2_user - A2_ref) \u003c 1e-4, 'A2 is wrong.');","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T22:22:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T22:20:50.000Z","updated_at":"2026-08-26T15:33:55.000Z","published_at":"2026-08-23T22:20:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis time we have two circles! The shape is given below:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou are requested to calculate the area of the two circles(A1 ,A2) given the distance O1O2 = a, the distance D and that both the angle O1AB and O2BA are 90 degrees.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExplanation(if needed):O1O2 is the line that connects the centers of both circles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips:1) You can draw a line somewhere on this shape if you want.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2) The circles are 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61448,"title":"Gometry time2!(easy to medium)","description":"Given the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\r\n         \r\nFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\r\n2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(https://en.wikipedia.org/wiki/Triangular_number)\r\n3) Theta will be in degrees this time!\r\nTip: L = perimeter.\r\nGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 31.5px; text-align: left; transform-origin: 445px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 191.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 95.9px; text-align: left; transform-origin: 445px 95.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"202\" height=\"149\" style=\"vertical-align: baseline;width: 202px;height: 149px\" 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bNIHi61eDxZ79dGiRQsMHjwYr1+/xsSJE3Ho0KEk+XI01Go1XAeFI7Jraajfn8cU74aYzSbp8Zt/Cpsa5wfen8f0ksGYwanB+jCHbB8ZfD3MIUeD9SH5+vqarzIS4x3qBb0hndEJR3OIaiiVSjg7OyM+Ph4fPnxgwyYR1YAN+vj555/Rs2dPHDt2DHPmzMHt27cBG/SREuSDT8NSPpydnREaGopWrVph27ZtmDVrFt6+fZuYL6qhVObD0PU70dQbeBE5BrV67GBT/p98o7BtZ2MUAvDXugpoOZVPAyZ8mEPch2WuhzlENVgfko+Pj1klST+gyyDE880Z8sE5TVKOhoODA7Jly4a4uLgkf0hTQo6GLfkoVaoUBg0ahCJFimDq1KnYvHlzkhpb8ZEa5INfw9I+qlSpggEDBsDd3R1TpkzBnj17ZGk4fDUBO3c3RUFE4/dBfuiyk80wJi9GbD+E1j4AbqxH7abj8IBDIzUfppDlw8LXwxRyNFgfkouLi/kqGS9zlyzwwngeRDVsxUe/fv0wdOhQbNu2DSNGjMCTJ0+S5NuKD3OQD34Na/ExdOhQ9OvXD+vXr8fQoUPx33//CWlYiw8WUQ179UE31m0cHx8f7NixAz169EBoaCg6d+6crIEQhCWZOHEi6tevj2LFiuH48eMZ8zgwkWFQE7Fh2rZti99++w1v376Fv78/1q1bx6YQhFVw6tQpBAQEYPv27VixYgVGjx7NphA2CjURGyRLliyYN28eJk+ejNGjR6NNmzZ4+PAhm0YQVseoUaPQpk0b1K9fHwcOHEDp0p9OoBO2CzURG6NatWo4evQofHx80KBBAyxYsIBNIQir5uDBg6hVqxYePHiAI0eOoF27dmwKYUNQE7EhunXrhp07dyIyMhK1atXChQsX2BSCsAn+/fdfdOrUCaNGjcKMGTMwffp0NoWwEaiJ2ACSJGHu3LkYP348+vXrh759+3I9RUEQ1o5Go0GjRo3w7bffYv/+/ShSpAibQlg51ESsnKJFi+LgwYOoWLEi6tatixUrVrApBGHTHD9+HLVq1cLz589x4MABNGjQgE0hrBhqIlZMYGAg9u/fj8ePH6N27do4e/Ysm0IQdsGrV6/Qpk0bLF26FCtXrkSvXr3YFMJK4WoikiSxW2Yx1PDW8uYZY88aXbt2xZo1a7BixQq0a9cOb968SZYvgimN1ODNM4Y0+CEN04wfPx49evTAyJEjMWPGDCAdNExBGvywGpKHhwfXD9clSYJSqeQ+BQn9jBVwHr+HDA1HR0e4u7tDq9VyDTSDDA1YwMe4cePwyy+/oH///li9ejWbDsjQgAV88CCqAfLBrWHLPqpUqQKNRoNbt26hV69eUKlUNunDGFu+HsawPrim+EIvJEkSdJyDvQz5AJCQkMCGTSKqYZgmqdVqER0dzYZNIqqRkT4+fvyI8ePHw9/fH927d8evvya+/zMZohoZ6cNergf5MK+RVj48PDyQP39+nDt3LjEvT5480Gg0yJkzJ0aOHIk//vjD6n2khi1dj9RgfUiurq7mq/TdTSUwLliSJKhUKug4RxJDhoZarYaHhwe0Wi33LBpRjYzyUbx4cUyePBlZs2ZF586d8eeff7JpSRDVyCgf9nI9yAefRlr52Lx5M9RqNYKCgpLkKhQKLF26FNWrV0efPn2wc2eq0xcTMaWRGmnlIzVs6XqkButDodN3H3MLQLI9c0u0RjRfTo1ovpwa0fwiRYpg8eLFiIuLQ1BQEK5fv54sh12iGnJqRPPl1Ijmy6kRzZdTI5ovp0Y0X06NaL6cGjZ/0qRJKFasGLp3754sNz4+Hl26dMG+ffuwbNkyNGrUKFmOqcVq8CzRGtF8OTWi+XJqRPPZGq4b60T6UalSJWzcuBG3b99G+/btuT/mEoQ98Msvv6Bz584ICQnBgwcP2HAiU6ZMgUajwdKlS9G2bVs2TFgQaiIWpEaNGti6dSsiIiIwcOBANkwQds3333+PSZMmYeDAgane/zMwb948DBs2DDNnzkT37t3ZMGEhqIlYiMDAQGzZsgWrVq1C//792TBB2DUFChSARqPBokWLsHTpUjacIgsXLkSvXr0wbtw49O3blw0TFoCaiAUICgrCmjVrMGvWLAwbNowNE4TdM3v2bFy+fBlDhw5lQ2ZZs2YNunTpgmHDhmHQoEFsmMhgqIlkMI0aNcLy5csxdepUjBs3jg0ThN0za9YseHh4ICQkhA1xs2XLFnTo0AEDBw7EkCFD2DCRgVATyUCCgoKwbNkyhIWFYfLkyWyYIOyeXr16oVWrVujVq9dnP0QSHh6O9u3bo3///hg8eDAbJjIIaiIZRGBgYOInkClTprBhgrB7GjRogJEjR6JXr15pNgdu165d+PnnnzFgwAC6t2ghqIlkADVq1Ei8B0KfQIjMSPHixTF//nzMnDkTGzZsYMOfxc6dO/HLL79gyJAh6NGjBxsm0hmF4ch7akuhUCTbM7dEa0TzDTUwOrZvbsnVYPdSW2x+5cqVsWrVKixatAjjx49Plm+osXYfPIt88C/RGtF8Q401+HBycoJGo8Hhw4cxceLEZHFzi8fHtm3b0LNnT4wZMwYdO3ZMFje3eHx8Tr6hxpwPNp/dM7dEa0TzDTVJfOTKlevT8UMzGApF5rEoFArodDruGlENR0dHuLm5Cc2iEdX4HB/e3t7YtGkTIiIi0K9fPzYtEWv3wZtPPvg1MpOPhQsXwtvbGw0aNMCHDx+ENUR8dOjQARMmTECPHj2wfft2bg0eHyzp6cOAqIYlfCizZMkymj3SbmpB/w0mJCQki5lahnyd3gwbN7VENZRKJbJkyYL4+Hi8f/8+WdzUEtWQ68PT0xOrV6/G5cuXERISkizHeFmzDxEN8sGvkVl8DBw4EK1atcJPP/2ER48eydIQ8XHhwgXEx8dj4sSJuHjxIu7evZssx9Qy58PUSk8fhiWqYQkfkouLy6evYgaVSgWlUsk9pEuSJDg4OCAhIYF7EJiohlqthqenJ2JiYrgHmolqyPHh6OiIHTt2IDY2Fo0bN2bDybBWH6Ia5INfIzP4aNGiBRYsWIAOHTogPDw8cV9UQ46PCRMm4KeffkKjRo1w6dIlNpyM1HykREb4ENWwhI9Pn2OINGXRokXImTMnOnXqxIYIIlNQvnx5aDQaTJgwIUkDyShGjRqFAwcO4H//+x9y5crFhok0hJpIGjNhwgRUr14d3bp14/65J0HYEzlz5oRGo8GmTZsS305oCUJDQ/Ho0SMsXryYDRFpCDWRNKRbt27o2rUrunbtihs3brBhgsgUaDQa/Pvvv591Ij2t+OWXX5ArVy7Mnz+fDRFpBDWRNCIwMBDjx49H3759cfToUTZMEJmCcePGoVKlSlbRQADg+fPn6NKlC5o2bUpzttIJaiJpQNGiRTF//nzMmTMHK1euZMMEkSlo3749unfvjpCQENy5c4cNW4yLFy+iW7duGDhwIJo3b86Gic+EmshnIkkS5s2bh99//x1jxoxhwwSRKfDz88P06dMxbNgwHDx4kA1bnO3bt2PixImYN28eypQpw4aJz4CayGcyZ84cfPHFFwgNDWVDBJEp8PLywpw5c7Bs2TIsXLiQDVsN06dPx44dOzB37lyo1Wo2TMiEmshn0K1bN7Ru3RqhoaF48+YNGyaITMGcOXNw584dDBgwgA1ZHT179gT07zMh0gauJiJJErtlFkMNby1vnjGW1KhWrRrGjx+Pfv36JZlIyubxkJJGSvDmGUMa/JAGP9OmTUOhQoXQq1cvNmQSORpp6UOr1aJXr15o3rx5klfspqVGStirhuTh4WH+iKK+QKlUcp+CBAClUgkAiI+PZ0MmEdVwdHSEu7s7tFotXrx4wYZNIqoBEz6yZMmCiIgInDhxwuT4aVENS/kwh6gG+eDXgB346Nq1K8aMGYPg4GCcOHHCpny0adMG06ZNQ+PGjXHy5EnADq6HgYz2IXl5eXE3EUk/k4XnaLwhHwKDvUQ11Go1XF1dhQaaiWqY8jFnzhz4+PigTp06Jr+GqIalfJhDVIN88GvYuo9atWph5cqVGDRoENauXQvYoI+pU6eiYsWKqFOnDmJjY236ehiwxJ8rydXV1XyVvrupVCru+SqSJEGlUkGn03F3OFENtVoNDw8PaLVa7lk0ohqsj59//hlTp05FnTp1cP78eTYdkKFhCR88iGqQD34NW/bx9ddfY9++fVi3bh1Gjx5tsz5UKhWOHj2KCxcuoHfv3jbrwxhL/LlSOjs7j2aTTKHQz52Pj4/nEoL+m9MJjiQW0VAqlciWLRvi4uLw/v17NmwSUQ0Y+ShatCjWrl2LUaNGpToPSFQjo33Yy/UgH6mTHj4kScK6detw69atxCcSbdEH9P9S//PPPzF58mQ8ePAA169ft0kfLBl9PbhurBOfmDRpEg4cOEAjFIhMi0ajQY4cOZLclLZlTp48iQkTJmDSpEnIly8fGyY4oCbCSZ8+fVCmTBkMGTKEDRFEpqBfv34IDg5G9+7d8fr1azZss8yYMQPnz5/H2LFj2RDBATURDsqWLYvBgwdj2LBhePjwIRsmCLuncePGGDp0KEJCQnDhwgU2bPMMGzYMdevWRYcOHdgQYQZqIhyMGjUK27dvx7p169gQQdg9pUqVgkajwdSpU7F582Y2bBfcuHEDo0ePxujRo1GwYEE2TKQCNREz9OrVC8WKFcPo0VzPHxCEXZElSxbMnz8fe/fuxeTJk9mwXbFo0SKcOnWKZuAJQk0kFYoWLYoRI0Zg3LhxePLkCRsmCLtn/vz5+Pjxo9WMdk9vxo4diwYNGqBVq1ZsiEgBaiKpMHLkSBw8eBBr1qxhQwRh94wYMQI1atRASEgIYmNj2bBdcu3aNUyePBkjR45E9uzZ2TBhAmoiKdCyZUvUrVsX48aNY0MEYfe0bt0avXv3Rvfu3fHnn3+yYbtm6tSpePbsGUaMGMGGCBNwjT2RJAkKhULoVKNCoUg89MJzclKOhuH4fWxsLNcsGl4NJycnREZGYv369ZgxY4bN+jDGlq+HMeSDX0OujypVqmDz5s2YMGECNBoNm5YEa/YhosH6CAgIwOrVq9GsWbPE2VrGyNGwhA9zyNFgfUi+vr7mq4zE4jmHekFvSMc5jwUyNJRKJZydnREfH48PHz6wYZPwaPTp0wfVq1dHkyZNABv2wUI++DQysw9XV1esWLEC586d477BbI0+RDVgwsfYsWORJ08edOzYkU0FZGhYyoc5RDVYH5KPj49ZJUk/oMsgxPPNGfLBOU1SjoaDg0Pi8fu3b9+y4WTwaPj4+GD79u3o06cP9u/fb7M+WMgHv0Zm9rFo0SJkyZIFbdq04dKwVh+iGqZ85M6dGwcOHMD48eOxcePGZPmiGpbykRpyNFgfkouLi/kq/bAypVLJ/ZFHkiQ4ODggISGB62MVZGio1Wp4enoiJiaGe6CZOY1Vq1ZBqVTixx9/BGzYBwv54NfIrD4mTpyIJk2aICgoCLdv3+bSsEYfkKGRko++ffuiU6dOKFeuHGJiYpLUiGpY0kdqiGqwPujGuhGBgYGoX78+wsLC2BBB2DWdOnVCly5d0LNnT0RFRbHhTMuMGTPw7t07m3hro6WgJmJEv379sHTpUly+fJkNEYTdUqNGDUyZMgWDBw/G0aNH2XCmZ9q0aejduzedZE8BaiJ62rRpgxIlSmD69OlsiCDslvz580Oj0WDx4sX43//+x4YJAJs2bcKJEyfQp08fNkRQE/l/evfujVmzZuHp06dsiCDsFo1Gg2vXrtF0ajPMmjULP/30E3x9fdlQpoeaCIDu3bsjW7ZsmDVrFhsiCLtl1qxZyJ07d6YZafI5HD58GPv370evXr3YUKYn0zcRlUqF0NBQzJkzB1qtlg0ThF0SGhqKNm3aICQkBM+fP2fDhAnmzJmDoKAgVK1alQ1lajJ9EwkJCcHHjx/NnswlCHuhXr16GD16NHr27IlTp06xYSIFTp8+jfDwcPrkxpCpm4hKpUL37t3pdbdEpsHHxwfz58/H7NmzsXbtWjZMmEGj0SAwMJA+jRjB1UQkSWK3zGKo4a3lzTPmczW6du2Kjx8/YuHChUn2jflcDR5Igx+b0Zh7EtHR0Yg+NRu1Ru/AhajoT///6C5OLuiYNhpmYDUcHByg0Wjw22+/mXwVbFpomIM3zxhr0jh//jx27tyJbt26sSGz8GoY4M0zxhIakoeHh/kjivoCpVLJfQoS+hkr4Dx+Dxkajo6OcHd3h1ar5RpoBkbj4sWLWLJkidkfZVm7D17IB59GmviYdQxPWxUBXr/G6xw5kCNOC60WUGcFri7yQ82RURnuY8GCBShWrBjq16+P9+/fs+mADA3YyvXggNdHpUqVsGvXLgQGBuLKlSvcGtbmw4CoBuuDa4ov9EKSJEHHOdjLkA8ACQkJbNgkohqGaZJarRbR0dFs2CQGjTZt2mDw4MHw9fVN9Ya6tfvg1SAf/Bpp4mPGb3jc0vtT8MFeDP2hE1bcA1CmJEpevoY/MthH+/btERoaioYNG+Lq1atsaiKiGjZzPcwg6mP16tX4999/0atXL24Na/QBGRqsD8nV1dV8lb67qQTGBUuSBJVKBR3nSGLI0FCr1fDw8IBWq+WeRWPQOHz4MPbs2YNJkyaxKUmwdh+8GuSDXyNNfMw5gRetiwB4jWMjvkKTBUnzM9JHrVq1EBYWhs6dO2P79u1sWhJENTLSx2ddDzOI+ggICMDGjRvh7++PGzducGlYow/I0GB9KHT67mNuAUi2Z26J1ojmy6kBgPr168PHxwdLly5NFje15Giwe+aWaI1ovpwa0Xw5NaL5cmpE8+XUJMuHgae4Pz95vskaM0s0X6fToUSJEpg0aRImTZqEbdu2JYuzS46GaI1ovpwa0XzRmoiICJw7dw5t27ZNFkttiWjIyZdTI5rP1nDdWLc32rZti5UrV9LpdCL9ef0UN9m9DCJ79uwYO3Ys9uzZg2nTprFh4jNZuXIl2rRpg2zZsrGhTEWmayLly5eHn58fVq5cyYYIwq6YPXs23r9/TyNN0olNmzYhOjoabdu2ZUOZikzXRH766SccPXoUV65cYUMEYTeMGTMGlStXxsiRI7lvsBLirF27Fm3atGG3MxWZqom4uLigdevWWL9+PRsiCLuhbdu26NGjB3r16oV79+6xYSINWb9+Pby9vVG3bl02lGnIVE2kVatWiIqKwu7du9kQQdgF1apVw8yZMzFixAgcOnSIDRNpzNOnT7F582a0bt2aDWUaMl0T2bBhA7tNEHZBrly5oNFosGLFChrlk4GsX78e9evXR4ECBdhQpiDTNJHq1aujWLFi2LRpExsiCLtAo9Hg3r176NevHxsi0pHff/8d169fR4sWLdhQpiDTNJHmzZtj//79ePDgARsiCJsnLCwMRYoUoQmzFmLTpk2Zt4kYjrynthQKRbI9c0u0RjTfUAOjY/sprSxZsiA4OBhbt25NFjO3RL8v0XxDDY8P43x2z9wSrRHNN9SQD/3q+Q3c3Nzg9lUTzGdjKdWkslLL79q1Kzp27IiQkBA8fvw4Sc1n+zCzRGtE8w011u5j69atKFy4MGrUqJEs17jG2n3wrGQ+cuXK9f+Ha1PBUMj7uKBBTKfTcdeIajg6OsLNzc3sLJqWLVti5MiRKF68uLCGNfkwRlSDfPBr2JKPgIAArFmzBoMGDcKqVauMsm3LR2rYio8VK1bg1atXKb6L3VZ8mIP1oUhISADvgv6oO7uf0jIci2f3U1siGsZH8NmY8QoKCkJ4eHji/4toJFiRD3aJaCSQD+4aW/FRoEABzJ49GwsXLsSKFSuS5dqKD3PLVnzs2LEDQUFBUCgUyfISbMiHucX6kFxcXLg+iahUKiiVSu4hXZIkwcHBAQkJCdyDwEQ11Go1PD09ERMTk+JAszx58uDKlSsICgpCZGSksIa1+GAR1SAf/Bq24mPfvn149epVio+X2ooPc9iKD6VSiXv37qF3797YunUrm24zPszB+vj0OcaOadiwIe7du4fIyEg2RBA2y7x58+Di4kI30q2I+Ph47Ny5Ew0bNmRDdo3dN5H69evT4ULCrujTpw9atmyJkJAQvHr1ig0TFmT37t1o0KABsmbNyobsFrtuIvny5cM333yDPXv2sCGCsEkaNGiAYcOGISQkBOfOnWPDhIXZt28f3r59i3r16rEhu8Wum0jdunVx//59nDlzhg0RhM1RokQJzJ49G9OnT8fGjRvZMGEl7Nu3L1PN0rLrJlKnTh0cOHCA3SYIm8PJyQlz5szBoUOHzL6Nk7As+/fvR926dRMfnbV37NZljhw5UKNGDRw8eJANEYTNMX/+fOh0OvTq1YsNEVbGwYMH4ejoiNq1a7Mhu8Rum0jNmjXx5s0bHD16lA0RhE0xbNgw1KxZEz179oRWq2XDhJURExODiIgIBAQEsCG7xG6byPfff48jR46w2wRhU7Rs2RJ9+/ZFSEgIrl+/zoYJK+Xw4cPURIyRJIndMouhhreWN8+Y1DRq1KiRrImYyjNHahqm4M0zhjT4yUwaFStWhEajwbhx42Q9ps6jYQxvnjGkYZojR46gQIECKFGiROJeWmuYwhIakoeHh/kjivoCpVLJfQoSAJRKJaA/hMODqIajoyPc3d2h1Wrx4sWLxH1fX18cOHAA5cqVw6NHj5LUiGrAgj5SQ1QD5INbwxp8uLi4YM+ePTh9+jR69+4NyNCwBh+mENWwVR/Hjx/HmjVrsHDhQsCGfbCwPiQvLy/uJiJJEnRGc1NSw5APgcFeohpqtRqurq7JBpqFhISgSZMmqFmzZpJ8yNCwpI/UENUgH/wa1uBj1apVyJ49Oxo3bpy4J6phDT5MIaphqz4mTJiAfPnyoW3btoAN+2BhfUiurq7mq/TdTaVScc9XkSQJKpUKOp2Ou8OJaqjVanh4eECr1SaZRbNx40bcvn0bw4YNS5IPGRqW9JEaohrkg1/D0j7Gjx+P4OBgBAYG4u+//07cF9WwtI+UENWwVR8NGjTA/PnzkT9/fsCGfbCwPhQ6ffcxt6Cf8iiyRGtE81Oq+eabbxAZGZlsP6V8c0u0RjRfTo1ovpwa0Xw5NaL5cmpE8+XUiOanVPPzzz+ja9euCAkJwd27d83mm1uiNaL5cmpE8+XUiObLqTGXHxkZiSxZsqBy5crcNewSzZdTI5rP1nDdWLclKleuDGdnZ5w8eZINEYRV8+2332Lq1KkYMmQIIiIi2DBhY7x8+RKXL19G1apV2ZBdYXdNpEqVKrh69SpevnzJhgjCasmbNy80Gg2WLFmCxYsXs2HCRjl16hQqV67MbtsVdtdEKlasSLOyCJtDo9Hgxo0bGDRoEBsibJgzZ86gUqVK7LZdYZdN5OzZs+w2QVgtM2bMQP78+endIHbIuXPnkCNHjiTnRewNu2oiX3/9Ndzc3HD+/Hk2RBBWSbdu3dCuXTuEhITg6dOnbJiwcR4+fIgHDx6gXLlybMhusKsm4uvrixcvXuDu3btsiCCsjtq1a2P06NHo3bs3Tpw4wYYJO+HixYsoW7Ysu2032F0TuXTpErtNEFaHt7c35syZg3nz5mH16tVsmLAjLl26BF9fX3bbbrCrJlK6dGlcuXKF3SYIq0KpVEKj0eDEiRMYN24cG07CvHnzcPHixcQDa4TtceXKFZQuXRpK/TgSe4Nr7IkkSVAoFEKnGhUKBZRKJXScJyflaBiO38fGxuLFixe4ceMG+vfvn+KwOjkalvBhDjka5INfI719zJ07F6VKlULTpk3x5s2bVH3ky5cPM2fORL58+bBlyxbMmTOHSwMCPvI3HoSR7ZvAr0x+ZFfrN+O00L6Jwtl96zFHsxDH7zFFeuzheiCdfbi6uuLq1asICgrC48ePbdaHAfZ6SL6+vuarjMR4h3pBb0hndMLRHKIaSqUSzs7OiI+Ph6urK3bt2oXGjRvj/v37bGoiohrIYB8fPnxgwyYR1QD54NZITx+//PILOnfujHbt2uHGjRtcPnLnzo2goCB06dIFixcvxoIFC9gUk5j34YNO86ahU7U8UAOA9i2i/3mBN/EAsrmhkOcXn9K0j3B4ehf035x0mKkBW74exqSnj3379mHRokWIiIiwaR8wcT0kHx8fs0qSfkCXQYjnmzPkg3OapBwNBwcHZMuWDXFxcahYsSKmTZuW6lMQcjQy2sfbt2/ZcDLkaJAPfo308lGvXj1Mnz4d/fv3x969e4V95M2bF8uXL8eZM2cwdOhQNiUZqfvIi59XbMXAytmB+Be4tH4Wxk3chhvGPkq0wtSJvdDA+1POqZmt8PPSh0m+ii1fD2PS28eiRYtw7949LFy40KZ9wMT1kFxcXMxXAVCpVFAqldwfeSRJgoODAxISErg+VkGGhlqthqenJ2JiYtC6dWvUr18ftWrVYtOSIKqR0T54B7OJapAPfo308FGmTBns378fM2fORFhYmGwfBQsWxObNmxEZGYkePXqwKUlIzYf/zJPY0LYInPAax0bXQOO5nz69J/dRC7NPrcBP3k5A9DGMrNMYmv+fCSnbR2q/Vyyp+UgJUY309jFmzBiULFkSffr0sWkfMHE97ObGepEiRXDz5k12myAsTrZs2aDRaLBz506EhYWxYSEePHiAxo0bo1q1apg3bx4b5uQnhNQtAicAzyJGJjYQ0xxCr1ZLcSUGgKs/Og7xZxMIDm7evImvv/6a3bYL7KaJeHt749atW+w2QVic+fPn48OHD2l2Ij0qKgqNGjVCq1at5I1J6RaMSh4AcB9nFqxho8n5eyR2XYoBABTwD0EwGyfMcuvWLeTNmxdZsmRhQzaP3TSRwoUL486dO+w2QViUUaNGwc/PDyEhIdw/XuAhKioKPXr0QMuWLVGtWjU2nCr+FfMjBwC8jsKZX9moaWZc1H/K9ygA+iwijuHvJnt8VNsumoiLiwty5syZ5AU+BGFpfvrpJ/Ts2RMhISHp8qPW9evXY8OGDcI/1irtkvPTL6KfwvTD8CZ49BqvAQCeKNCZDRLmiI6OxqtXr5AvXz42ZPPYRRMxXJh791J4mJ0gMpiqVati9uzZGDVqFPbt28eG04z169cjKipKqJEUccvx6RfxMfh0N2Q2TkZHIzo6Gk+fPsXjx4/x4sULREdH4+4OEz+CU7EbBA/3799Hnjx52G2bxy6aSJ48efD8+XO8e/eODRFEhuPh4QGNRoNVq1YJ/eUuh6ioKGzYsAHVqlXj/lHJzRefPlMQGcuDBw+oiVgruXPnxsOHSZ9fJwhLodFo8PDhQ/Tp04cNpQuRkZGIiorCwIED2ZBJrrz899MvXAqgIwCgF6q6usLV1RWenp7InTs33Nzc4OrqisKNNZ9y8+T4dB8FT3Gf76wjwfDw4UN4eXmx2zaPXTSRXLly4dEj06dpCSIjmTx5MooXL55mT2LxEBUVhbCwMO5PI8fORn26v+GaH9W/Y6Om6Vu2yKdfPLuPY2yQ4OLx48fw9PRkt20eriYiSRK7ZRZDDW8tb54xhppcuXLh8ePHbDgZn6PBW8ubZwxp8GPNGh06dECnTp0QEhKCBw8esGlJkKuREoZPI61atUrcS1FjwRaceQYABeDf+/+bXbI8A4XGoqGvEwDg/jENthiFUtRIAd48Y+xF459//oGHhwd3LW+eMRnhg9WQPDw8zB9R1BcolUqhxxSV+qmVPMfvIUPD0dER7u7uWLlyJcLDwzF37lw2JRmiGshAH1qtlmswG2RogHxwa8jx8f3332P9+vUYPHgwli9fzoZNktY+BgwYgB9++AEVKlQAzPjIPzYCx7uUghqvcXxsTTTTRAEmNWpixvFl+NFbDbw+jtF1mmEB8xBkWvtgSc1HSohqIAN8VKlSBeHh4ahQoYLZf2QYENVABvhgrwfXFF/ohSRJgo5zsJchHwASEhLYsElENQzTJHft2oUpU6Zg06ZNbEoyRDUy0odWq0V0dDQbNomoBvng1xD1UaBAAezatQs7duzAqFGjuDTSw0e+fPlw+vRpBAcH48SJE2Z85EfXzQcxslp2IO4Zzi8bg5DR2/HAWKN0O2hmDkYTn085xycHocX8T83GQHr4YEndh2lENTLCx1dffYVjx44hMDAQly9fZsMmEdXICB/s9ZBcXV3NV+m7m0pgXLAkSVCpVNBxjiSGDA21Wg0PDw+cOnUKbdu2xeHDh9mUZIhqZKQPrVbLPVNHVIN88GuI+ti9ezfevXuHdu3acWukl4/w8HBERkYiLCyMw0cp9N2wAv1qFtBP8X2NZ1FP8Tpegi67B4rk1j8KrL2P3cObov3y5ONR0suHMeZ9JEdUIyN85MiRA3fu3EGrVq1w6NAhNmwSUY2M8MFeD4VO333MLQDJ9swt0RrRfJ1Oh6xZs0KtVuPFixfJYqaWHA3RGtF8OTWi+XJqRPPl1Ijmy6kRzRepmT17Njw8PNCzZ89kMXOLV0MkPzIyEt988w1nzRVM/6Ecqv4yA7tP3cfrODU8vIvA28cbRTycEBN9E8dWjUTjauXQbtk9E/U8GsmXaL6cGtF8OTWi+R8+fMB///2HL7/8MlkspSWqIadGNJ+t4bqxbs3kyPHpX0uvXr1iQwSRrvTq1Qs//vgjQkJCuH/Mkt4cP36c6wktY+5vnYB29cuhcP48//+Ib648yFOkKhr30eAYDYJIM16/fo2cOfUTA+wEm28i2bNnBwD8+6/+2Xci8+DbEVM27seFm4/w6OmnE9fR0dGIfvoId6+exI4FwxBciC1KGxo0aICRI0eiR48eOHPmDBu2KKJNhMg43rx5k/h3lr1g800kW7ZsgL7DE5mFAIzeehaPDoehU82KKODqBCfjURwqJ+TIXQT+Lfpi0am7ODavA9Lyr9VixYpBo9Fg5syZWL9+PRu2KIanfkSHMhIZw9u3b/HFF/o3RtoJdtFEaNxJJqJQRyw9sRTd/PLDCQBinuHKnhkY+GMNuLq6wtW1HBp3mIAlETfxOg6AKgeKNJ+Eg4cmoCb7tWTg6OiI+fPn4/Dhwxg/fjwbtjhRUVGIikr6BBVhPbx//z7xH772gs03EWdnZ/z333/sNmGX1MKsdWNRr5AaAPD66hJ08SuGGm0nYOn+K/qc+zgWPgODfqiKwnUGYvfdT+/ByF7iZyza0R0FjL6aHObPnw+FQpGhJ9LlQD/Ssk7+++8/u3uniF00Ed6X3hO2jf/MsWju/amBaG+tRZfvBmFLajd9Ly1FuxYTcfzlp//N4dcPs7uxSfwMGTIEdevWRUhICP2ZI2Tx4cMHODs7s9s2jc03EbVaDa1Wy24TdsenV7qqASDuFrYM6wuuJ+3/1qDZrON4AwDIAf8fpsj6NNKiRQv0798fISEhuHbtGhu2OPTJwzbQarVQqz/9Q8hesPkm4uDggNjYWHabsDcSX+kK4MZh9P2NiafGorU4azijVqo6+go+sVW+fHloNBpMmDAB4eHhbNjiVKtWjWvkD2F5Pn78CEdHR3bbplEYjrynthQKRbI9c0u0RjTfUOPg4ICPHz8mi5lacjXYvdSWaL6hBkbjB8wtuRrsXmpLNN9Qk14+qhte6Qog6saKZPGU1ieN7Thy49NnEaAIynRMnsfWGHx8+eWX0Gg02LRpE2bOnJks9/81ku+ntkRrUssvUKAA/Pz84OfnB0mSkD9/fpw4cSJdr4fcGtF8Q429+Pj48SNUKlWymKklV4PdS22J5htqklyPXLlyfTp+aAZDocg8FoVCAZ1Ox10jquHo6IghQ4agYsWKaNCgARs2iahGRvlwc3MTmg0kqmHrPrpuuYFR1XIAeIPIMcXRYrGgjxm/4tEP3gCAZwe7o0y77WxaIsY+ZsyYARcXFzRs2JBNSwKvDwNpeT1++OEHzJo1C8+ePUO3bt2wdetWeHl5pev1MJCWPlLCnnwMHz4cpUuXRuPGjdmwSUQ1MsqH8fVQJCQkgHdBf9Sd3U9pGY7Fs/upLRENnU4HSZKS7ZtbIhoJGeRDpx8lwMZSWyIaCTbu42sPw+cQHSDHx5/P9O8IB9RZPJLFjZfBx5IlS1CxYkWEhoYmyzG1eHwYr7S6Hnnz5kVcXBxcXFwSX0xl/PUN/8+7TGmkttLKR0rLnnwkJCRAoVAki6W2RDQSMsiH8fVQxMXFgWcZitn91FZCQgLi4+OT7ae05GgYDLH7KS05GhnlI701bNmH8cdlnU6GD+OvoEtIlsOuRo0aoUqVKvjyyy8xaNAgBAYGJstJpsHhg60R9mFCI0+ePFCpVFCpVChbtixOnTqFypUrw8vLK92uB1uT3hr24uPTn1/+GjkaGeHD+Hp8+hxjw+h0usSPY4T98uz1p/MesvHxTLynon3/lAkmZ8eOHWjXrh1+/PFHxMXFYenSpbh58ybCwsJQtWpVNt1qiIuLQ5UqVbBz506cPn0aFy9exNGjRxEeHk6n2K0AST9y3Z6w+b99E/QfDwn75vdHhr/4c8Dz060NIdrn/v/Xkj752/jdfClz5swZ7N+/H126dEGhQoUwduxYfPXVV9i9ezdOnDiBgQMHwttbxjeTxnz77beJvzZ1kO3kyZNo1KgRIiMj2RCRwSgUCu6XRdkKNv+3b1xcHFQq48FJhD1yLOImDE/p5i82mImaww9+hQxD727iylImzMH79++xZs0aNGvWDOXKlcOmTZtQv359nDp1Crt27UL79u0tNp01pT////zzDzp37oyhQ4eyIcJCqFQqxHG+58NWsPkmEhsba3fPXRMmWLcbl/VdRF2mHmb8/z++zdOlD/zy6X999XfMSO2UOwf379/HrFmz8O2336J27dq4fPky+vTpg+vXr2PZsmUICgpiS9IVDw/DARogJubTj/3CwsJQvnx5nDt3ziiTsDSOjo52d67NLpqIvZ0AJUyxBoO2XoEWAFTeCJ4wA7XYFFMUCsHW3n749DnkNY5tHITk7+eTz/nz5zF8+HCUKVMG7dq1g1arxf/+9z/cunULU6dOxTfffMOWpCvnzp1D2bJlMWXKFDZEWAFqtZqaiLURExMDJycndpuwQ+4PH4nNf34acaP2/hGLfp2S+vtCfPtiw86h8HP59L+vj09HrwVsUtpx6NAhdOvWDYUKFcLo0aNRqFAh7Nq1C6dOncKgQYNQpEgRtuSzMYw7efbsGXr06IFGjRrRFF8rxsnJye7mrtl8E7HHqZhEShxD77Y9se3Gp0aSo1QnLDr+J46uGoaOdUvrcwrAv1FfTNl4EncPDEOt3J/+gfHmj+Xo0nh+mn4KSYn//vsPa9euRXBwMMqWLYv169cjMDAQJ0+exK5du9CxY0e4uOg722eSL18+hIWFoVixYlb3bhMiOfY4ddzmm4g9zucnUuHvrQip0QBDNuvfF+LkgdL1+yJs7VH9mw0vYMeyYehUswhyqADEvcbNzUMQXGsYItivlQFERUVh9uzZ+O6771CrVi1cunQJffr0wc2bN7FkyRKzJ+HNERkZST+6siGyZs2K9+/fs9s2DVcTkSSJ3TKLoYa3ljfPGEmS8O7dOyiVSmTNmpUNJ0OuhvF/zcGbZwxp8POp5hqWh1ZH4Tq9MGPPWdyPjkGM8QMvMTF4/fgmjq0aiSZVv4J/j2UQmbubXj4uXLiAESNGoGTJkmjdujU+fPiABQsW4Pbt25g2bVqq5zh4NYxJLx/GkAY/kiQJvURProbxf83Bm2cMqyF5eHhwnXyRJAlKpVLo8TSlUgkA3M9Fi2o4OjqiXLlyCA8PR9myZfH48WM2JRmiGsggH+7u7tBqtXjx4gUbNomoBsgHt0ZG+nB2dkaDBg3QuHFj1KhRA7dv30Z4eDh27NiBmzdvJskX1chIH7CT64F09nHixAksWbIECxcuZMMmEdVABvkwvh6Sl5cXdxOR9KcteU5cGvIhMNhLVEOtVqNQoUI4cuQIatWqhT/++INNSYaoRkb5cHV1FRowJ6pBPvg1LOUjb968CAoKQqNGjVCqVCmcPn0aO3fuRHh4OF6+fCmsYSkf5hDVsCcfly9fxqhRo7Bx40Y2bBJRjYzyYXw9JFdXV/NV+u6mUqkQGxvLJSRJElQqFXT6mSw8iGqo1Wp4eHjg/PnzCA4Oxu+//86mJENUIyN9aLVaPHtmOFKXOqIa5INfwxp8lC1bFo0bN0aTJk2QO3du7N69G+Hh4di7dy+3hjX4MIWohr34yJo1K+7fv4+2bdti7969bNgkohoZ4YO9HgqdvvuYW9DPqRJZojWi+Yaa6OhouLm5JYuZWnI12L3Ulmi+nBrRfDk1ovlyakTz5dSI5supEc03V3PhwgWMHDkSpUqVQsuWLfH+/XtoNBpcv34dU6dORbVq1ZLVmFqpaZhaovlyakTz5dSI5supEc03PJEXHR2dLJbSEtWQUyOaz9Zw3Vi3dl68eJHk1C5B2BOHDh1C9+7d4e3tjVGjRiFfvnwIDw/H6dOnMWTIEPj4+LAlhBVi+DuK976OrWAXTeT58+fIlSsXu00QdkVMTAw2bdqEH374AWXKlMGaNWtQq1YtREZGYu/evejcuTPc3NzYMsJK8PT0RExMDN68Mbxl0z6wiyby9OlTeHl5sdsEYbc8fPgQc+fOxffff4+AgACcPXsWoaGh+Ouvv7Bq1So0adKELSEsTK5cubjv6dgSdtFEnjx5gjx58rDbBJEpuHTpEkaNGoXSpUvjhx9+wNu3b6HRaHDjxg0MHz4clStXZksIC5A7d248fWr+XTa2hl00kX/++Qd58+Zltwki0xEREYGQkBAUKlQII0aMgKenJ1asWIGzZ89i6NChKFasGFtCZBB58+bFP//8w27bPHbRRB49eoS8efNClcJ7FQgis6HVarF582aEhoaiRo0aWLlyJQICAnD8+HHs3bsXv/zyC9zd3dkyIh3Jly8f14FoW8MumsjDhw8BAAULFmRDBJHpefLkCebNm4eAgAB8//33OHPmDEJCQnDjxg2sXr0aTZs2TTygRqQf+fPnx6NHj9htm8cumsjjx4+h1WpRqFBqc8EJgrh8+TJGjx6NMmXKoEWLFnj9+jXmzp2Lu3fvYubMmfD392dLiDQgS5Ys8PLywoMHD9iQzcM19kSSJCgUCqFTjQqFAkqlEjrOk5NyNAzH72NjY7Fp0yasW7cOS5YsYdMSkaOR0T54niGXo0E++DUymw9HR8fEcSsBAQG4d+8ewsPDER4ejhs3brDpSbAmHwbkaKS3j5IlS+LgwYOoVasWnj59arM+YOJ6SL6+vuarjMR4h3pBb0hndMLRHKIaSv0Au/j4eIwdOxavXr3CxIkT2bQkiGogg33wvrBGVAPkg1sjM/vw9PRE3bp1UatWLZQoUQKXL1/GwYMHceDAgRTnVlmjD1ENpLOPOnXqYPDgwWjYsKFN+4CJ6yH5+PiYVZL0A7oMQjzfnCEfnNMk5Wg4ODggW7ZsiIuLw88//4zy5cujXbt2bFoicjQy2sfbt2/ZcDLkaJAPfg3y8UmjWLFiCAwMRGBgIPLkyYPDhw9j37592LdvX+JwP1vwwaOR3j569OiBqlWrokePHjbtAyauh+Ti4mK+CoBKpYJSqeT+yCNJEhwcHJCQkMD1sQoyNNRqdeIpUH9/f0ycOBFFixZl05IgqpHRPngPI4lqkA9+DfKRXOP7779HkyZN0KRJE8THx2P79u3Yvn07fv/9d5vykRLpfT2WL1+O169fY8aMGTbtAyauh13cWAeAP//8E25ubnRynSDSgSNHjiA0NBSFChXCgAED4OnpiW3btuHcuXMYPHgwihcvzpYQRhQrVszs/SVbxW6ayPXr1xEXF0d/mAkiHfn48SM2bdqEVq1aoWTJkli6dCmqV6+Oo0ePYv/+/ejatSs8PT3ZskyNs7MzvL298eeff7Ihu8BumggAXLt2DaVKlWK3CYJIB/755x8sWLAA9erVQ0BAAE6cOIEuXbrg+vXrWLt2LYKDg6HUv2UvM1OyZElA/w9de8SumsiVK1eoiRCEBbh27RrGjh2LsmXLIjg4GNHR0Zg5cybu3r2L2bNn47vvvmNLMg2lS5fG7du37W56rwG7aiKXL1+Gr68vu00QRAZy9OhR9OzZE4UKFUL//v3h7u6OrVu34sKFCxgxYgRKlCjBltg1vr6+uHz5MrttN9hVE7l06RIKFixIL6giCCsgLi4OmzdvRuvWrVGiRAn873//g7+/P44cOYLdu3eja9eumeI9QGXLlsWlS5fYbbvB7ppITEwMypcvz4YIgrAgT548wYIFC1C7dm18//33iIyMROfOnfHHH39g7dq1aN68OVR2OEA1R44cKFasGC5cuMCG7Aa7aiIAcO7cOVSoUIHdJgjCSvjjjz8wadIklC9fHs2aNcOLFy8wffp03L17F3PmzEGNGjXYEpulQoUKSEhIwLlz59iQ3cDVRCQZEz4NNby1vHnGmNI4e/YsKlasaJT1/6SVRmrw5hlDGvyQBj+2oPHrr7+iV69eKFSoEPr27QtXV1ds2bIFFy5cwMiRI1GqVKnP1uAhvTQqVaqEs2fPIi4uLt00jLGEhuTh4WH+iKK+QKlUcp+ChH7GCjiP30OGhqOjI9zd3aHVahMHmtWsWROrVq1Cvnz5TOqKasBCPswhqgHywa1BPvg1kA4+PD090ahRIzRu3Bjly5fHpUuXcOTIEezatYv7MVlzGqZIax8AsHXrVly6dAnjxo2z2evBwvrgmuILvZAkSdBxDvYy5ANInLNjDlENwzRJrVabOBzuiy++wF9//YXmzZsjMjKSLRHWsJQPc4hqkA9+DfLBr5HePooXL44mTZqgUaNGyJs3LyIiIhInDKf2l56IBtLJh1KpxN9//40OHTogIiLCLq4HTPy5klxdXc1X6X9DVALjgiVJgkqlgo5zJDFkaKjVanh4eECr1SaZRbN//34cOXIEYWFhSfIhQ8OSPlJDVIN88GuQD36NjPRRrlw5fPfdd2jSpAkUCgV27NiB7du34+jRo2yJsEZ6+PD398f27dtRqFAhvH371u6uh8GHQqfvPuYWgGR75pZojWh+SjXHjx+Hn59fsv2U8s0t0RrRfDk1ovlyakTz5dSI5supEc2XUyOaL6dGNF9OjWi+nBrRfEPNiRMn0Lt3bxQqVAi9e/fGl19+ic2bNyeePylVqtRna7B7qS1z+X5+fjh9+jTevHnDXcMu0Xw5NaL5bA3XjXVb49ixY/jmm2+QLVs2NkQQhI2TkJCArVu34qeffkKxYsWwcOFCfPPNNzh69CgOHTqEkJAQqxjE6u/vj2PHjrHbdoddNpHffvsNWq0W3377LRsiCMKOePbsGRYtWoS6devC398fv/76K37++WdcunQJq1evRosWLeDo6MiWpTsuLi6oVKkSfvvtNzZkd9hlE9HpdDh69KhdPW9OEETqXL9+HRMmTECFChUQHByMJ0+eYMqUKbh79y7mzZuHgIAAtiTdqFGjBl6/fo0TJ06wIbvDLpsI9O8/yMg/NARBWA/Hjh3DgAEDULhwYfTs2RM5cuTApk2bcPnyZYwePRplypRhS9KUgIAAHDlyhN22S+y2iRw+fBj58+engYwEkYnR6XTYtm0b2rRpAx8fH2g0GlSuXBlHjhzB4cOH0aNHD+TJk4ct+2xq1qyJw4cPs9t2id02kXv37uHy5cuoVasWGyIIIhPy/PlzLF68GIGBgfDz88Phw4fRrl07XLlyBRs2bEDz5s3T5P6Jv78/XF1dcejQITZkl9htEwGAAwcOoE6dOuw2QRCZnD///BMTJ05ExYoV0bhxYzx69Ajjx4/H7du3MW/ePNSsWZMt4aZOnTr4/fffuU+l2zp23UT279+PsmXL4uuvv2ZDBEEQgP7+Sb9+/VC0aFH07NkT2bNnx8aNGxPvn4j+SDwwMBD79+9nt+0WheHIe2pLoVAk2zO3RGtE8w01MDq2z64rV67gr7/+Qv369RPz2RxzS7RGNN9Qk5oPdsnVYPdSW6L5hhrywbdEa0TzDTXkg28ZasLDw9GuXTv4+Phg3rx5qFSpEg4fPowjR44gNDQUefPmTVWjcuXKKFiwIPbt25cslpE+eJdovqEmiY9cuXJ9On5oBkOhyDwWhUIBnU7HXSOq4ejoCDc3t1Rn0QwePBj+/v6oX78+IEPDWnywiGqQD34N8sGvkRl8FC1aFI0aNUKjRo1QuHBhHDlyBOHh4di1axe0Wm2S/FGjRqFMmTJo2rRpkq8BIx/DtpxH00JsVE+cFq//uYrDi4YgZOm1NPWREqIa7PXgnuKrUCigUCgQHx+feOw9NST9ZEidTsc9TVJUQ61Ww83NDbGxsXj+/DkbBgCUKlUKERERqF69Ov766y9hDWvxwSKqQT74NcgHv0Zm81GtWrXECcPOzs4IDw/Hjh07EBERAejfZ7Rw4UIsWbKELU30MXzrhU9NRKuFlhlvpc6q1v/qNY6PrYnmCx6miw9jRH+v2Oshubi4mK8CoFKpoFQquYd0SZIEBwcHJCQkcA8CE9VQq9Xw9PRETExMqgPNjh49iv3792PKlCnCGtbkwxhRDfLBr0E++DUys49mzZqhcePGqFevHh49eoRz586hUaNGKFGiBJ48ecKmJ/oYtvUiggsDN9e5omoom1UafXfswDD/HMCzQ+hW6ieEp7MP0d8r9np8+hxj5+zYsQNNmjRhtwmCIGQTHh6OTp06oWjRopgzZw48PT1x8OBBkw2EnyuY0ecQ7gOARwH4sWErJFM0ke3bt8Pb2xt+frZwSQiCsCWio6OxYsUKlCpVCtu2bWPD4hRw+vTf968RxcaskEzRRKKionDo0CE0a9aMDREEQXw2wcHBSNBPF5ZPAfi3HYYNU2uiAID7EdMxi02xQjJFEwGAzZs3o0WLFnBy0nd5giCINKJFixbYvHkz9xNOAFCkdTSio43XBeyY2Re1CgP3tw5Ekw62ceI90zSRrVu34v3792jRogUbIgiCkI2Pjw++/fZbbNy4kQ2lTkwMYt4zKw4AnFCg2VhsX9YR+dkaKyTTNBEA2LBhA3744Qd2myAIQjYtW7bEuXPncO7cOTaUKje35UGe/MzyLIcuC87iNZxQoNFYLBhk/W0kUzWRdevWoUKFCqhYsSIbIgiCkEXr1q2xbt06dlsm97FleF3MOxUDwAkVandgE6yOTNVEbty4gYiICLRu3ZoNEQRBCNO6dWuoVCqsXbuWDX0WM+7qn8tSZ2dDVgdXE5Ekid0yi6GGt5Y3zxg5GmvXrsUPP/wAT09PNmwSORqikAY/pMEPafAjV6N169ZYvXo118G+RA02YIKQfPq/n7Rv2FCqyPUhAqvBPfZE0h+n5/nNMqBUKgGA+/i9qIajoyPc3d2h1Wq5xy5LkoRjx45hx44dmDZtGhs2ibX6ENEA+eDWIB/8GsjEPr799lts2rQJ33zzDe7cucOGk2HwMWzrBTQrBNxc7wn/3mxWfvgNmollff2QA8DVpZVQd+SjdPUh+nvFXg/Jy8uLu4lIkgSdTsd1NN6QD4HBXqIaarUarq6uQoPZJElCp06dEBISwjXi2Zp9iGiQD34N8sGvkZl9LFmyBPHx8ejatSuXhsHH0M3nUpydBZUaav34LO3t9ej0bX8cTWcfor9X7PWQXF1dzVfpu5tKpeKeryJJElQqFXQ6HXeHE9VQq9Xw8PCAVqvlnqmjVCrh7OyMS5cuYfz48VixYgWbkgRr9iGiQT74NcgHv0Zm9VG8eHH8/vvvaN68OX799VcuDYOP4VsvollhNqonTgvt6ye4cng+BnZfiuvp7AMyfq/Y66HQ6buPuQX9+4pFlmiNaL6cGgCIjY3FsmXL0LFjx2RxU0uOBrtnbonWiObLqRHNl1Mjmi+nRjRfTo1ovpwa0Xw5NaL5cmpE8+XUiOaL1nTs2BHHjx9HZGRkslhqCwCG1y8GV1dX08szN3IXKYe63ZbgiuD3ZKzB7qW2RPPZGq4b6/bIkiVL4OPjQ6NQCIIQIn/+/GjXrh2WLl3KhjIlmbaJPHv2DIsXL0aXLl3YEEEQRIp06dIFFy5cwN69e9lQpiTTNhEAWLhwIcqXL4+goCA2RBAEkQwvLy907doVixYtYkOZlkzdRKKiorB06VJ0796dDREEQSSje/fuuHLlCrZs2cKGMi2ZuokAgEajQcWKFdG4cWM2RBAEkUjevHnRvXt3aDQaNpSpyfRN5P79+1i4cCFCQ5O9p5IgCCKR0NBQnD9/nj6FMGT6JgIAc+fORcmSJfHjjz+yIYIgCBQtWhSdOnXCnDlz2FCmh5oIgCdPnmD27Nno3TvZDAKCIAj07t0bv/32G3bv3s2GMj1cY08kSYJCoRA61ahQKKBUKqHjPDkpR8Nw/D42NpZrpk5qGk5OTjhz5gwWLlyI+fPnJ+7bmo+UIB/8GuSDXyMz+KhSpQq2bduG5s2bIzIyEpCpYWkfppCjwfqQfH19zVcZifEO9YLekM7ohKM5RDWU+hEm8fHx+PDhAxs2SWoarVq1QkhICBo0aIB///03cd/WfKQE+eDTIB/8GsgEPhYsWIBXr15h6NChSfZFNSztIyVENVgfko+Pj1klST+gyyDE880Z8sE5TVKOhoODA7Jly4a4uDi8ffuWDSeDR2Pbtm04f/48JkyYkFhjiz5YyAe/Bvng17B3Hw0aNMDUqVNRv3593L17N0m+qIYlfaSEHA3Wh+Ti4mK+CoBKpYJSqeT+yCNJEhwcHJCQkMD1sQoyNNRqNTw9PRETE8M9mM2cRr169bB69WrUqlULFy5csFkfLOSDX4N88GvYu4+zZ89i586dGDduXJJ8yNCwpI/UENVgfdCNdYa9e/di586dGDx4MBsiCCITMWjQIKjVakyZMoUNEUZQEzHBpEmTEBAQgFatWrEhgiAyAUWKFMHAgQMxadIkxMbGsmHCCGoiJrh58ybCwsIwbNgwZMmShQ0TBGHnDBs2DIcPH8b69evZEMFATSQFpkyZgtevX2PEiBFsiCAIO6Z58+Zo0KABxo8fz4YIE1ATSYWxY8eic+fO8Pf3Z0MEQdgh2bJlw6hRozBt2jRcuXKFDRMmoCaSCgcOHMDq1avp0whBZBJGjhyJ6OhoTJo0iQ0RKUBNxAyjR4+Gh4cHPa1FEHZOnTp10K5dO4wePZoNEalATcQMr1+/xpgxY9CnTx9UqVKFDRMEYQeo1WqMHj0aixYtwtGjR9kwkQpcTUSSJHbLLIYa3lrePGMySmP79u3YuHFj4in21JCrYfxfc/DmGUMa/JAGP/aiMWHCBGi1Wu5PIXI0MsKHJTQkDw8P80cU9QVKpZL7FCT0M1bAefweMjQcHR3h7u4OrVbLNdAMMjSg95E9e3YcPnwY4eHhGDNmDJuSBFGNjPQBO7keIB9mIR98Go0aNcLixYvxww8/4NixYzbrw0BGXw+uKb7QC0mSBB3nYC9DPgAkJCSwYZOIahimSWq1WkRHR7Nhk4hqGPuoXbs2li1bhnbt2uHQoUNsaiKiGhntw16uB/lIHfJhXsPDwwMRERFYt24dwsLCABv1YcAS10NydXU1X6XvbiqBccGSJEGlUkHHOZIYMjTUajU8PDyg1Wq5Z9GIarA+xo0bh4YNG6JGjRp49eoVmw7I0LCEDx5ENcgHvwb54NdITx8rVqyAq6srgoKCbNqHAUtcD4VO333MLQDJ9swt0RrRfDk1ovlszfDhw/HkyROEhYUlyzOVz7tEa0Tz5dSI5supEc2XUyOaL6dGNF9OjWi+nBrRfDk1ovlyanjye/Togbp162LAgAHcNcZLNF9OjWi+nBrRfLaG68Y6kZQBAwagcePGCAkJYUMEQdgA1apVw+jRo9G/f3/8+eefbJgQgJqIDK5cuYJ+/fph7Nix8PPzY8MEQVgxX3zxBWbOnImVK1di9erVbJgQhJqITFauXIkVK1Zg1qxZ+PLLL9kwQRBWyqxZs/DmzRv07duXDREyoCbyGfTr1w8vXrzAnDlz2BBBEFZI//79ERgYiF69erEhQibURD6Tnj17ws/PD8OHD2dDBEFYEUFBQRgyZAh69uyJP/74gw0TMqEm8pncvHkToaGh6NOnD73EiiCslBIlSkCj0WD69OnYsmULGyY+A2oiacDu3bsxduxYzJs3D1WrVmXDBEFYkKxZs2LBggU4cOAAJk6cyIaJz4SaSBoxe/ZsrFy5EgsXLkSePHnYMEEQFmLRokWIjY1F9+7d2RCRBigMR95TWwqFItmeuSVaI5pvqIHRsX1zS64Gu5fS6tevH27duoWFCxdCqVQmi6e0rM2HnHxDDfngW6I1ovmGmszuY8qUKahQoQK6du2Kjx8/Jss1VcOzRPMNNXJ98C7RGtF8Q00SH7ly5fp0/NAMhkKReSwKhQI6nY67RlTD0dERbm5uQrNoRDVEfXz55ZfYvn07bt68iV9++YUNm8QafUCGBvng1yAf/BpyfYSGhmLw4MFo0aIFjh07xqYkwZp9QEDDEj6UWbJkGc0eaTe1oP8GExISksVMLUO+Tm+GjZtaohpKpRJZsmRBfHw83r9/nyxuaolqiPr48OEDTp8+jQEDBiB37tyIiIhIlsMua/RhXMObTz74NcgHv4YcH61bt8a4cePQo0cP7N27N1mcXdbqQ1TDEj4kFxeXT1/FDCqVCkqlkntIlyRJcHBwQEJCAvcgMFENtVoNT09PxMTEcA80E9WQ6+Pbb7/Fpk2bEBYWhilTprApSbBmHyIa5INfg3zwa4j6qF+/PlatWoUxY8Zg7ty5XBrW6AMyNCzh49PnGCLNOX78ODp27IiBAweia9eubJggiHTA398fK1aswOzZs7Fo0SI2TKQD1ETSkfDwcPTp0wcTJkzATz/9xIYJgkhDypYti5UrV2L58uX0KG8GQk0knVm1ahVGjBiB2bNnIzg4mA0TBJEGFCtWDKtXr8a+ffswcOBANkykI9REMoD58+djwoQJWLRoERo1asSGCYL4DLy9vbF27VqcPn2aXs9gAaiJZBAzZsxAWFgYli1bhoYNG7JhgiBk8NVXX2HdunW4evUqOnbsyIaJDICaSAYyZcoUTJs2DStWrEBQUBAbJghCAG9vb2zYsAE3btxAu3bt2DCRQVATyWAmTZqEqVOnYvny5WjWrBkbJgiCg2LFimHjxo24fv062rRpw4aJDISaiAWYPHkyJk2ahMWLF6N169ZsmCCIVChbtiw2b96Mixcv0icQK4CriUiSxG6ZxVDDW8ubZ4wta0ybNg2jRo3C3Llz0aFDB0CgljfPmPTyYQxp8EMa/Bhr+Pv7Y+vWrfjtt99SvAfyuRo88OYZY68akoeHh/kjivoCpVLJfQoSAJRKJQAgPj6eDZlEVMPR0RHu7u7QarV48eIFGzaJqAbS2Uf79u0xZcoUzJ8/HxqNxmZ9wE6uB8iHkAYy0Iefnx9mzZqFFStWYMiQIWxaEkQ1kIE+7OV6GHxIXl5e3E1E0s9k4Tkab8iHwGAvUQ21Wg1XV1ehgWaiGhnho0WLFpg1axZWrVqFwYMHs2GTiGpkhA97uR7kg18jo3x06NABI0aMwJw5czB58mQ2JRmiGhnlw16uh7EPydXV1XyVvrupVCru+SqSJEGlUkGn03F3OFENtVoNDw8PaLVa7lk0ohoZ5aNx48YICwvD3r170a1bNzYlGaIaGeXDXq4H+eDTyAgf/fv3x+DBgxEWFoawsDA2bBJRjYzwYS/Xg/Wh0Om7j7kFINmeuSVaI5ovp0Y0X06NaL5Op8OJEyfQtm1blC9fHtu2bYObm1uyHOMlR0O0RjRfTo1ovpwa0Xw5NaL5cmpE8+XUiObLqRHJnzx5MgYPHozhw4dj+fLlyeIpLRENuTWi+XJqRPPl1IjmszVcN9aJjOH69eto2LAhlEol9uzZg7Jly7IpBJEpyJo1K9asWYNGjRqhRYsW2LNnD5tCWAnURKyMJ0+eICgoCOfOncPevXvRpEkTNoUg7JoSJUpg3759yJUrFxo0aIDjx4+zKYQVQU3ESunevTtmzZqFJUuWoF+/fmyYIOySoKAg7N+/Hzdv3kS9evVw+/ZtNoWwMqiJWDFTpkxB165dMXDgQCxatAhqtZpNIQi7oX///li+fDkWLFiATp06ITY2lk0hrBBqIlbO5s2bUbt2bRQrVgyHDh2i+ySE3fHFF19g6dKl6Nu3L7p06ULvArExqInYAJcvX0atWrVw/fp1RERE0KgHwm6oVq0aDh8+jAIFCqBWrVrYsmULm0JYOdREbAStVouuXbti5MiRmDFjBqZPnw6VSsWmEYTN0KNHD+zcuRPHjx9HzZo18ccff7AphA1ATcTG0Gg0aNiwISpVqoSDBw+iatWqbApBWDWenp5YsmQJhg8fjt69e6Nv375sCmFDcI09kSQJCoVC6FSjQqGAUqmEjvPkpBwNw/H72NhYrlk0cjSs1YeTkxMmTZqEFi1aYMqUKZg9ezablgRr9SGqQT74NazRR1BQEMaPH4+7d+9iyJAh+PPPP9mUZFijDzka9upD8vX1NV9lJMY71At6QzqjE47mENVQKpVwdnZGfHw8Pnz4wIZNIqoBK/dRv359DBw4ENeuXcPUqVNx584dNjURa/bBqwHywa1hTT4cHR0xYMAABAcHY+nSpViwYAG3hjX5MEZUw159SD4+PmaVJP2ALoMQzzdnyAfnNEk5Gg4ODsiWLRvi4uLw9u1bNpwMORq24CN37twYMmQIAgICMHnyZKxcuZItsQkfPBrkg1/DWnx8//33GDRoELRaLSZPnoxTp04JaViLD2PkaNirD8nFxcV8FQCVSgWlUsn9kUeSJDg4OCAhIYHrYxVkaKjVanh6eiImJoZ7oJmohi356NixI8aNG4eTJ09i1KhRuHbtWmK+LflIDfLBr2FpH9myZcOYMWPQvn17LFiwAMOHDwdkaFjaR0qIatirD7qxbkcsXboU33zzDd69e4fffvsNAwYMYFMIIkNo3rw5Tp06hQoVKiA4ODixgRD2BzURO+PevXto164devTogY4dO+K3335DrVq12DSCSBeKFCmCVatWYeHChVi7di2+/fZbHD16lE0j7AhqInbK+vXrUalSJZw5cwYbNmyARqNB3rx52TSCSDMGDRqEkydPwsnJCTVq1MCkSZPYFMIOoSZix7x58wYDBgxAUFAQChQogJMnT6J3795sGkF8Fk2bNsXJkyfx448/okePHmjRogWuXLnCphF2CjWRTEBkZCQaNGiAoUOHokOHDjhz5gxatGjBphGEEFWrVsWWLVug0Wiwe/duVKhQAevXr2fTCDuHmkgmYvXq1ahUqRJ27dqFBQsWYNeuXQgICGDTCCJVihYtigULFmD37t2Ijo6Gv78/JkyYgFiaupspoSaSyYiJicG4ceNQvnx5/P3339i0aRPWrl2LypUrs6kEkYS8efNiypQpOHHiBDw9PdG4cWN06dKF3vmRyaEmkkm5d+8eevbsiYCAAMTGxmLv3r1YtmwZypcvz6YSmRwvLy+MGzcOly9fRtmyZdGuXTs0bdoUx44dY1OJTAhXE5Ekid0yi6GGt5Y3zxjS4CcljUuXLuHnn39GgwYN4OjoiIMHD2L58uWoUqVKkjweUtJICd48Y0iDn8/VyJ8/PyZMmIBr167Bz88PXbp0Qe3atbF79+5kNWxtSvDmGUMa/FhCQ/Lw8DB/RFFfoFQquU9BQj9jBZzH7yFDw9HREe7u7tBqtVwDzSBDA5nMR9WqVfHLL7+gXr16iIiIwIoVK3Do0CE2zSTW5MMYUY3M7qNkyZJo164d2rRpg4sXL2Lx4sXYtm0bm5qItfoQ0QD54NZgfXBN8YVeSJIk6DgHexnyASAhIYENm0RUwzBNUqvVIjo6mg2bRFQjs/ooW7YsOnTogGbNmuH8+fNYtWoVNm/ezKYlwRp9QIZGZvVRvXp1tG3bFvXq1UNkZCSWLVuGffv2sWlJsEYfkKFBPvg1WB+Sq6ur+Sp9d1MJjAuWJAkqlQo6zpHEkKGhVqvh4eEBrVbLPYtGVCOz+yhSpAh+/PFHtG/fHi9evMDq1auxZs0aPH36lE23ah8iGpnNx08//YQ2bdqgfPnyCA8Px5o1a/Drr79yaViTD2NENcgHvwbrQ+ns7DyaTTKFQqGAJEnckx6h/+Z0Oh13RxTVUCqVidMk379/z4ZNIqqBTO7j33//xaFDh7Bo0SLExcWhVatWGDFiBAoWLIg3b97g/v37ifnW7ENEIzP48PHxQWhoKBYvXoyAgADs3bsXoaGhWL16NR4+fMitAQv7SAlRDZAPbg3WB9eNdYJ49+4d5s+fjypVquDHH39E1qxZsX37dhw7dgyhoaHw8vJiSwgrQ6VSoWXLlti2bRsiIyNRpUoVjB8/Ht7e3hg5ciQ9qkvIgpoIIcz+/fvRtm1blCtXDjt37kTbtm1x7do1LF++HIGBgVDqb+wR1kHVqlUxa9Ys3L17F5MnT8adO3dQp04d1KlTBytXruT+sQdBmIKaCCGb+/fvY+rUqahYsSKaNWuGV69eYcSIETh79iw0Gg0CAwPZEiKDqFSpEkaOHIk9e/Zg2bJl8PT0RL9+/VC4cGEMGDAA586dY0sIQhbURIg04ddff0Xfvn3h7++PESNGIGvWrFi9ejX+/vtvzJ8/H0FBQXBycmLLiDTE398f48ePx/nz57Fv3z74+vpizZo1qF69Olq1aoXNmzdz/5ycIHihJkKkKfHx8dizZw/at2+PAgUKYODAgVCr1ViwYAEePHiA9evXo1OnTihcuDBbSgji4uKCZs2aYf78+bh58yZ27NiBEiVKYPHixShbtiyaNm2K9evX4/nz52wpQaQZ1ESIdOP9+/fYvHkzOnbsiHz58qFNmzZ4+PAhunfvjrNnz+LkyZOYNGkS6tWrhy+//JItJxiUSiX8/PwwZMgQ7Nu3D7du3cLUqVPh6OiIUaNGoWjRomjSpAkWLVqEqKgotpwg0gVqIkSGkJCQgP3792PAgAEoV64cqlevjtWrVyNfvnyYO3cubt26hSNHjmDixIlo3LgxvUALQI4cORAQEIAhQ4Zgx44diIqKwqZNm+Dv74/ff/8dDRs2ROHChdGpUyesX7+e+xQ0QaQlkouLi/kHg2W8zF2ywAvjeRDVIB/8Gp/jo1y5cqhSpQoqV66MSpUqIUeOHHjw4AEuXryIS5cu4cqVK7h69Sqio6Ot2gevBns9nJ2dUbJkSZQuXRq+vr4oW7YsihUrhoSEBJw9exanT5/GmTNncObMGbx8+ZJLwxI+eBDVIB/8GpbwwXViXdLPVhERUigUUKlU3GbkaDg5OSXOcOG5KHI0yAe/Rlr6KFGiBMqVK4eyZcuiTJkyKF26NCRJwqNHj/DXX3/hxo0buHHjBm7fvo07d+6kOEYiNY2USEsfLFmyZMFXX30Fb29v+Pj4JPkvANy5cweXL1/GxYsXcfHiRZw7dw5xcXFCGgbS04cBW/tzlRLkg1+D9SHlypXLfJX+m4PgPBaFQgGd4MlJCGg4OjrCzc0NWoFZNKIa5INfIz19KJVKlChRAsWLF0exYsVQpEgRfP3114k/9nr16hXu37+PBw8e4OHDh3j06BH++ecfPH36FC9evMDz58/x33//sV/WJHJ9qFQquLi4wN3dHZ6envDy8kLu3LmRJ08e5M+fH/nz5088lBkdHY3bt2/j5s2buHHjBv7880/88ccfePPmDfulE+H9vTIg1wcENGz9z5UB8sGvwfrgnuKrUCigUCi4j8YbOpxOp0M85zRJUQ21Wg03NzfExsZyP4EiqkE++DUs4SNr1qwoXLgwChYsiIIFCyJfvnzImzcv8uTJAy8vL+TIkSOx9v3793j58iVev36NN2/e4O3bt3j//j3+++8/xMTEIDY2Fh8/fgT0/9qKj4/Hhw8foNTPFnJ0dISTkxOcnZ2RNWtWZMuWDdmzZ0eOHDnw5ZdfImfOnIlaHz58wD///IPHjx/j4cOHePDgAe7fv4979+7h7t27ePnypV1eDx5ENcgHv4YlfNA9ETOQD34Na/SRJUsWeHl5wdPTE9mzZ0/8yz579uz44osvkDVrVmTJkgVOTk5wdHSEg4MDHBwc4OTkhISEBGi1WsTHxyMuLg6xsbGIiYnBhw8f8P79e7x9+xZv3rxJbEr//vtv4qef169fs99KEkR9QMbvlTVeD8jQIB/8GpbwQU3EDOSDX4N88GuQD34N8sGvYQkf9IgvQRAEIRtqIgRBEIRsqIkQBEEQsqEmQhAEQciGmghBEAQhG2oiBEEQhGyoiRAEQRCy4WoikiSxW2Yx1PDW8uYZQxr8kAY/pMEPafBjrxrcY08k/XF63gMs0M87gv5FRTyIajg6OiYOAuMdgy2qAfLBrUE++DVAPrg1yAe/BizgQ/Ly8uJuIpIkQafTcZ1qNORDYLCXqIZarYarq6vQQDNRDfLBr0E++DXIB78G+eDXsIQPrlHw0Hc3lUrFfTRekiSoVCrodDruDieqoVar4eHhAS3naGXI0CAf/Brkg1+DfPBrkA9+DUv4UOj03cfcApBsz9wSrRHNl1Mjmi+nRjRfTo1ovpwa0Xw5NaL5cmpE8+XUiObLqRHNl1Mjmi+nRjRfTo1ovpwa0Xw5NaL5cmpE89karhvrBEEQBGEKaiIEQRCEbKiJEARBELKhJkIQBEHIhpoIQRAEIRtqIgRBEIRsqIkQBEEQsqEmQhAEQciGa+yJJElQKBRCpxoVCgWUSiV0nCcn5WgYjt/HxsZyzaKRo0E++DXIB78G+eDXIB/8GpbwIfn6+pqvMhLjHeoFvSGd0QlHc4hqKJVKODs7Iz4+Hh8+fGDDJhHVAPng1iAf/BogH9wa5INfAxbwIfn4+JhVkvQDugxCPN+cIR+c0yTlaDg4OCBbtmyIi4vD27dv2XAy5GiQD34N8sGvQT74NcgHv4YlfEguLi7mqwCoVCoolUrujzySJMHBwQEJCQlcH6sgQ0OtVsPT0xMxMTHcA81ENcgHvwb54NcgH/wa5INfwxI+6MY6QRAEIRtqIgRBEIRsqIkQBEEQsqEmQhAEQciGmghBEAQhG2oiBEEQhGyoiRAEQRCyoSZCEARByIariUiSxG6ZxVDDW8ubZwxp8EMa/JAGP6TBj71qSB4eHuaPKOoLlEol9ylI6GesgPP4PWRoODo6wt3dHVqtlmugGWRogHxwa5APfg2QD24N8sGvAQv44JriC72QJEnQcQ72MuQDQEJCAhs2iaiGYZqkVqtFdHQ0GzaJqAb54NcgH/wa5INfg3zwa1jCx/8BihaXrZUX/FoAAAAASUVORK5CYII=\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Triangular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); row-rule-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003ehttps://en.wikipedia.org/wiki/Triangular_number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3) Theta will be in degrees this time!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTip: L = perimeter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp)\r\n  \r\nend","test_suite":"%%\r\nA_tp = 6;\r\ntheta = 360;\r\ny_correct = 2 + 2*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nA_tp = 12;\r\ntheta = 720;\r\ny_correct = 4 + 8*pi;\r\nassert(isequal(FIND_THE_PERIMETER_OF_THE_SECTION(theta,A_tp),y_correct))\r\n%%\r\nfor i = 1:10\r\n    theta_test = randi([10, 350]);          \r\n    A_tp_test = randi([12, 600]);           \r\n    ref_fn = @(t,a) (a/6)*(2 + t*pi/180);\r\n    expected_L = ref_fn(theta_test, A_tp_test);\r\n    user_L = FIND_THE_PERIMETER_OF_THE_SECTION(theta_test, A_tp_test);\r\n    assert(abs(user_L - expected_L) \u003c 1e-6, ...\r\n        sprintf('Failed for theta = %g and A_tp = %g', theta_test, A_tp_test));\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-23T20:35:18.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-23T17:05:01.000Z","updated_at":"2026-08-26T15:41:36.000Z","published_at":"2026-08-23T17:05:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the same circle as ''Geometry time!'' below you are now requested to to find the length of the section OAB(L). However the radius of the circle must be found in a different way: You have to find first the average of the small base (b) and the big base(B) of the trapezoid also given below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"149\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"202\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e         \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"186\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFurther explanation: 1)Theta angle(Θ) together with the area of the trapezoid(A_tp) will be given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2) You also are given that the height(H) of the trapezoid is the same as the third triangular number(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Triangular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://en.wikipedia.org/wiki/Triangular_number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3) Theta will be in degrees this time!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTip: L = perimeter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGOOD LUCK!!!!!!!!!!!!!!!!!!!!!!!\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.png\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null},{\"partUri\":\"/media/image2.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":50447,"title":"Calculate Triangle Area, A, B and Gamma is given.","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 359px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 179.5px; transform-origin: 407px 179.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate Triangle Area:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e A\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eB \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e Gamma\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e [degree] is given as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 209px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 104.5px; text-align: left; transform-origin: 384px 104.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                               \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"269\" height=\"209\" style=\"vertical-align: middle;width: 269px;height: 209px\" 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data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e   \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRound the answer to four decimal places\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaTriangle(A, B, Gamma)\r\n\r\nend","test_suite":"%% \r\nA = 4; B = 6; Gamma = 56.45; % [degree]\r\ny_correct = 10.0008\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n\r\n%%\r\nA = 5.7; B = 8.9; Gamma = 132; % [degree]\r\n\r\ny_correct = 18.8499\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n\r\n%%\r\nA = 48.3; B = 643; Gamma = 8; % [degree]\r\n\r\ny_correct = 2161.1425\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n\r\n%%\r\nA = pi; B = 2*pi; Gamma = 43; % [degree]\r\n\r\ny_correct = 6.7311\r\nassert(isequal(AreaTriangle(A, B, Gamma),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":33,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T16:05:19.000Z","updated_at":"2026-07-23T15:14:34.000Z","published_at":"2021-02-18T16:05:19.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate Triangle Area:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e A\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eB \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e Gamma\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [degree] is given as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                  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the area of ​​the square.","description":"Four circles are inscribed in the square ABCD. The perimeter of each circle is *aπ*.\r\n\r\n\u003c\u003chttp://imgfz.com/i/UzgCJut.png\u003e\u003e\r\n\r\nGiven *a*, obtain the area of ​​the square.\r\n","description_html":"\u003cp\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e.\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/UzgCJut.png\"\u003e\u003cp\u003eGiven \u003cb\u003ea\u003c/b\u003e, obtain the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(a)\r\n     y = a;\r\nend","test_suite":"%%\r\na = 0;\r\ny = 0;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 8;\r\ny = 256;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 1;\r\ny = 4;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 10;\r\ny = 400;\r\nassert(isequal(squartArea(a),y))\r\n%%\r\na = 50;\r\ny = 10000;\r\nassert(isequal(squartArea(a),y))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":108,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:09:51.000Z","updated_at":"2026-07-24T11:36:23.000Z","published_at":"2020-05-18T03:09:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.JPEG\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFour circles are inscribed in the square ABCD. The perimeter of each circle is\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaπ\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, obtain the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray 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12.5;\r\nassert(abs(square_area(x)-y_correct)\u003c1e-4)","published":true,"deleted":false,"likes_count":4,"comments_count":4,"created_by":134267,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":252,"test_suite_updated_at":"2017-05-31T18:18:43.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2017-05-16T16:59:29.000Z","updated_at":"2026-08-04T17:07:19.000Z","published_at":"2017-05-16T17:01:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a square whose diagonal length is given as x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":47828,"title":"Circle : Square","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 20.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.4px; transform-origin: 407px 10.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area_ratio(x)\r\n  y =\r\nend","test_suite":"%%\r\nx = 6.76;\r\ny_correct = pi;\r\nassert(isequal(area_ratio(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":564784,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":117,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-05T15:46:44.000Z","updated_at":"2026-08-14T03:27:11.000Z","published_at":"2020-12-05T15:46:44.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the ratio of the area of a circle to the area of a square, Given the side of the square = radius of the circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":46948,"title":"area","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 20.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.4px; transform-origin: 407px 10.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.4px; text-align: left; transform-origin: 384px 10.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003efind the area of a cube of side \"x\"\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 6;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 24;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":430136,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":220,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-19T15:10:51.000Z","updated_at":"2026-08-07T13:50:03.000Z","published_at":"2020-10-19T15:10:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efind the area of a cube of side \\\"x\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44391,"title":"For a rectangle, if x is the length and 2x is width. Then find out x from the area of the rectangle?","description":"For a rectangle, if x is the length and 2x is the width. Then find out x from the area of the rectangle?\r\n\r\nif the area is equal to 200 then the length of the rectangle is 10.","description_html":"\u003cp\u003eFor a rectangle, if x is the length and 2x is the width. Then find out x from the area of the rectangle?\u003c/p\u003e\u003cp\u003eif the area is equal to 200 then the length of the rectangle is 10.\u003c/p\u003e","function_template":"function y = length_of_rect(A)\r\n  y = A;\r\nend","test_suite":"%%\r\nA = 200;\r\ny_correct = 10;\r\nassert(isequal(length_of_rect(A),y_correct))\r\n\r\n%%\r\nA = 32;\r\ny_correct = 4;\r\nassert(isequal(length_of_rect(A),y_correct))\r\n\r\n%%\r\nA = 18;\r\ny_correct = 3;\r\nassert(isequal(length_of_rect(A),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":93545,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":111,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-10-26T09:21:07.000Z","updated_at":"2026-07-13T15:31:46.000Z","published_at":"2017-10-26T09:21:07.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a rectangle, if x is the length and 2x is the width. Then find out x from the area of the rectangle?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif the area is equal to 200 then the length of the rectangle is 10.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":49657,"title":"Determine the area of square if length of the diagonal is given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe have to find the area of square if the length of the diagonal of a square is given.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 4;\r\ny_correct = 8;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":822117,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":78,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-29T15:05:52.000Z","updated_at":"2026-07-23T15:23:15.000Z","published_at":"2020-12-29T15:05:52.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe have to find the area of square if the length of the diagonal of a square is given.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44505,"title":"Calculating Ring Area","description":"In two-dimensional space, a ring can be constructed by using two concentric circles.  Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.","description_html":"\u003cp\u003eIn two-dimensional space, a ring can be constructed by using two concentric circles.  Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\u003c/p\u003e","function_template":"function area = RingArea(r1,r2)\r\n  area = r1+r2;\r\nend","test_suite":"%%\r\nr1 = 4;\r\nr2 = 5;\r\ny_correct = 28.27433;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n%%\r\nr1 = 7.5;\r\nr2 = 8.25;\r\ny_correct = 37.11006;\r\nassert(abs(RingArea(r1,r2)-y_correct)\u003c1e-5)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":109,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-24T18:16:13.000Z","updated_at":"2026-07-16T05:43:06.000Z","published_at":"2018-01-24T18:16:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn two-dimensional space, a ring can be constructed by using two concentric circles. Determine the area of a ring which has r1 as the inner radius and r2 as the outer radius.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2378,"title":"Area of a triangle","description":"A triangle is given with base *'b'* ,vertical hight *'h'* . then find it's area.","description_html":"\u003cp\u003eA triangle is given with base \u003cb\u003e'b'\u003c/b\u003e ,vertical hight \u003cb\u003e'h'\u003c/b\u003e . then find it's area.\u003c/p\u003e","function_template":"function A = trg_area(b,h)\r\n  A=f(b,h);\r\nend","test_suite":"%%\r\nb = 1;\r\nh=5\r\ny_correct = 2.5;\r\nassert(isequal(trg_area(b,h),y_correct))\r\n\r\n%%\r\nb = 1;\r\nh=10\r\ny_correct = 5;\r\nassert(isequal(trg_area(b,h),y_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":0,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1005,"test_suite_updated_at":"2014-07-07T12:31:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-06-18T17:40:40.000Z","updated_at":"2026-08-14T17:22:23.000Z","published_at":"2014-06-18T17:40:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangle is given with base\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'b'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ,vertical hight\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e'h'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e . then find it's area.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60750,"title":"Area of a rectangle","description":"FInd the area of a rectangle with a length L and width W. Round to the nearest integer.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFInd the area of a rectangle with a length L and width W. Round to the nearest integer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = your_fcn_name(L,W)\r\n  A = ;\r\nend","test_suite":"%%\r\nL = 1;\r\nW = 1;\r\nA_correct = 1;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 3;\r\nW = 6;\r\nA_correct = 18;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 4.5;\r\nW = 5;\r\nA_correct = 23;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 482.2;\r\nW = 572.34;\r\nA_correct = 275982;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n%%\r\nL = 3542113582974;\r\nW = 0;\r\nA_correct = 0;\r\nassert(isequal(your_fcn_name(L,W),A_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4700639,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":38,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-10-18T20:19:06.000Z","updated_at":"2026-08-18T10:12:33.000Z","published_at":"2024-10-18T20:19:06.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFInd the area of a rectangle with a length L and width W. Round to the nearest integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45195,"title":"Calculate the area of a circle","description":"Given a circle of diameter x calculate its area","description_html":"\u003cp\u003eGiven a circle of diameter x calculate its area\u003c/p\u003e","function_template":"function y = areaOfCircle(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = pi * 0.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 15;\r\ny_correct = pi * 56.25;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 20;\r\ny_correct = pi * 100;\r\nassert(isequal(areaOfCircle(x),y_correct))\r\n%%\r\nx = 100;\r\ny_correct = pi * 2500;\r\nassert(isequal(areaOfCircle(x),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":348097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":158,"test_suite_updated_at":"2019-11-05T16:44:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-05T16:37:48.000Z","updated_at":"2026-07-28T08:15:23.000Z","published_at":"2019-11-05T16:44:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a circle of diameter x calculate its area\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45333,"title":"Area-01","description":"Given the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\r\n\r\n","description_html":"\u003cp\u003eGiven the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\u003c/p\u003e","function_template":"function y = inscribed_circle(r)\r\n  y = x;\r\nend","test_suite":"%%\r\nr = 1;\r\ny_correct = 0.8584;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 5;\r\ny_correct = 21.4602;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n%%\r\nr = 0;\r\ny_correct = 0;\r\nassert(isequal(inscribed_circle(r),y_correct))\r\n%%\r\nr = 12.1;\r\ny_correct = 125.6794;\r\nassert(abs(inscribed_circle(r)-y_correct)\u003c0.01)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":68,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-16T18:24:27.000Z","updated_at":"2026-05-30T03:51:00.000Z","published_at":"2020-02-16T18:24:41.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the radius of the circle inscribed in a square, find the area that is not bounded by the circle but inside the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44308,"title":"Component area","description":"Find the area of the component below, all measurements are in mm\r\n\r\n\u003c\u003chttps://image.ibb.co/hocruF/Component.png\u003e\u003e","description_html":"\u003cp\u003eFind the area of the component below, all measurements are in mm\u003c/p\u003e\u003cimg src = \"https://image.ibb.co/hocruF/Component.png\"\u003e","function_template":"function A = your_fcn_name(h,w,r)\r\n A = h,w,r;\r\nend","test_suite":"%%\r\nh = 50;\r\nw = 20;\r\nr = 12;\r\nA_correct = (h*w)-((pi*r^2)/2);\r\nassert(isequal(your_fcn_name(h,w,r),A_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":137065,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":89,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-09-10T12:15:22.000Z","updated_at":"2026-07-23T15:12:30.000Z","published_at":"2017-09-10T12:15:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of the component below, all measurements are in mm\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" 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\"}]}"},{"id":2402,"title":"Area of a Square ","description":"Inside a square is a circle with radius r.\r\n\r\nWhat is the area of the square?\r\n\r\n","description_html":"\u003cp\u003eInside a square is a circle with radius r.\u003c/p\u003e\u003cp\u003eWhat is the area of the square?\u003c/p\u003e","function_template":"function A = area_sqr(r)\r\n  A= ;\r\nend","test_suite":"%%\r\nr = 2;\r\ny_correct = 16;\r\nassert(isequal(area_sqr(r),y_correct))\r\n\r\n%%\r\nr = 3;\r\ny_correct = 36;\r\nassert(isequal(area_sqr(r),y_correct))\r\n\r\n%%\r\nr = 25;\r\ny_correct = 2500;\r\nassert(isequal(area_sqr(r),y_correct))","published":true,"deleted":false,"likes_count":10,"comments_count":1,"created_by":22553,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":866,"test_suite_updated_at":"2014-07-02T18:36:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-02T18:34:11.000Z","updated_at":"2026-08-25T12:27:30.000Z","published_at":"2014-07-02T18:36:38.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInside a square is a circle with radius r.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat is the area of the square?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":51173,"title":"Squares inside a square! ","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 99.7778px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 49.8889px; transform-origin: 406.5px 49.8889px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 40.8889px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 20.4444px; text-align: left; transform-origin: 383.5px 20.4444px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIf you have a square has a side (x) that is divided into four squares. Two of those squares carries smaller squares inside them. Each side carries 5 squares. Find the area of one of these small squares. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = squares_inside_square(x)\r\n  y = ;\r\nend","test_suite":"%%\r\nx = 500;\r\ny_correct = 2500;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n\r\n%%\r\nx = 100;\r\ny_correct = 100;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n\r\n%%\r\nx = 50;\r\ny_correct = 25;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n\r\n%%\r\nx = 30;\r\ny_correct = 9;\r\nassert(isequal(squares_inside_square(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":995198,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":72,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-03-24T11:45:55.000Z","updated_at":"2026-07-07T17:40:33.000Z","published_at":"2021-03-24T11:45:55.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf you have a square has a side (x) that is divided into four squares. Two of those squares carries smaller squares inside them. Each side carries 5 squares. Find the area of one of these small squares. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":48000,"title":"Lateral Area of a Right Rectangular Pyramid","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven the length (l) and width (w) of the rectangular base along with the height (h) of a pyramid, determine the lateral area of a right rectangular pyramid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = area(l,w,h)\r\n  y = l^2+w^2+h^2;\r\nend","test_suite":"%%\r\nl = 1; w=1; h=1;\r\ny_correct = 2.2361;\r\nassert(isequal(area(l,w,h),y_correct))\r\n%%\r\nl = 2; w=2; h=12;\r\ny_correct = 48.1664;\r\nassert(isequal(area(l,w,h),y_correct))\r\n%%\r\nl = 12; w=3; h=1;\r\ny_correct = 39.8816;\r\nassert(isequal(area(l,w,h),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-17T03:05:41.000Z","updated_at":"2026-05-30T19:07:18.000Z","published_at":"2020-12-17T03:05:41.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the length (l) and width (w) of the rectangular base along with the height (h) of a pyramid, determine the lateral area of a right rectangular pyramid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61070,"title":"Square area to triangle area","description":"Given the area, A, of a square with side length, c, if a right angle triangle has the same area A and the hypothenuse length 2c (two times the square side), then find the height, h, of the triangle.\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 163.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 81.875px; transform-origin: 408px 81.875px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square with side length, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ec\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, if a right angle triangle has the same area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the hypothenuse length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2c \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(two times the square side), then find the height, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of the triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.75px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.875px; transform-origin: 392px 40.875px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2125px; text-align: left; transform-origin: 364px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; 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8;\r\nassert(isequal(find_height(A),h_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":5,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-09T16:09:35.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-09T13:39:12.000Z","updated_at":"2026-08-17T17:06:00.000Z","published_at":"2025-11-09T16:09:35.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square with side length, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, if a right angle triangle has the same area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and the hypothenuse length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2c \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(two times the square side), then find the height, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of the triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60566,"title":"Given a Polyshape_01 (ps) Return its Perimeter, Area, and Centroid.","description":"Return the perimeter (P) of a polyshape object, which is the sum of the lengths of its boundaries.\r\nReturn the total area (A) of a polyshape object, which is the sum of the areas of the solid regions that make up the polyshape.\r\nReturn the x-coordinate (Cx) and the y-coordinate (Cy) of the centroid of a polyshape. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 104.667px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.5px 52.3333px; transform-origin: 407.5px 52.3333px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.8333px; text-align: left; transform-origin: 384.5px 10.8333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eReturn the perimeter (P) of a polyshape object, which is the sum of the lengths of its boundaries.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43.3333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 21.6667px; text-align: left; transform-origin: 384.5px 21.6667px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eReturn the total area (A) of a polyshape object, which is the sum of the areas of the solid regions that make up the polyshape.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.5px 10.8333px; text-align: left; transform-origin: 384.5px 10.8333px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eReturn the x-coordinate (Cx) and the y-coordinate (Cy) of the centroid of a polyshape. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"%%\r\nfunction [P, A, Cx, Cy] = PolyShape_01(ps)\r\n    % Return the perimeter (P) of a polyshape object, which is the sum\r\n    % of the lengths of its boundaries.\r\n    \r\n    % Return the total area (A) of a polyshape object, which is the sum\r\n    % of the areas of the solid regions that make up the polyshape.\r\n    \r\n    % Return the x-coordinate (Cx) and the y-coordinate (Cy) of the\r\n    % centroid of a polyshape. \r\n end","test_suite":"%% Test 1\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),1313))\r\n    assert(isequal(round(A,4),134508.0227))\r\n    assert(isequal(round(Cx,4),17))\r\n    assert(isequal(round(Cy,4),47))\r\n\r\n    \r\n%% Test 2\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),1313))\r\n    assert(isequal(round(A,4),134508.0227))\r\n    assert(isequal(round(Cx,4),254))\r\n    assert(isequal(round(Cy,4),-1676))\r\n\r\n    \r\n%% Test 3\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),177.255))\r\n    assert(isequal(round(A,4),2451.4087))\r\n    assert(isequal(round(Cx,4),34.29 ))\r\n    assert(isequal(round(Cy,4),-226.26))\r\n\r\n    \r\n%% Test 4\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[43, -220],'SideLength', 1.7));\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),206.155))\r\n    assert(isequal(round(A,4),2385.7031))\r\n    assert(isequal(round(Cx,4),34.0501))\r\n    assert(isequal(round(Cy,4),-226.4324))\r\n\r\n    \r\n%% Test 5\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[43, -220],'SideLength', 1.7));\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[20, -220],'SideLength', 1.7));\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),235.055))\r\n    assert(isequal(round(A,4),2319.9976))\r\n    assert(isequal(round(Cx,4),34.448))\r\n    assert(isequal(round(Cy,4),-226.6146))\r\n\r\n    \r\n%% Test 6\r\n    ps = nsidedpoly(13,'Center',[17, 47],'SideLength', 101);\r\n    ps = translate(ps,[237,-1723]);\r\n    ps = scale(ps,0.135);\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[43, -220],'SideLength', 1.7));\r\n    ps = subtract(ps,nsidedpoly(17,'Center',[20, -220],'SideLength', 1.7));\r\n    ps = subtract(ps,polyshape([20 30.1 40.1 45.1 50 45.2 40.2 30.2 27.2],[-235 -239 -239 -237 -235 -239 -241 -240.5 -240]));\r\n    [P, A, Cx, Cy] = PolyShape_01(ps);\r\n    assert(isequal(round(P,4),300.0489))\r\n    assert(isequal(round(A,4),2274.2476))\r\n    assert(isequal(round(Cx,4),34.4235))\r\n    assert(isequal(round(Cy,4),-226.367))\r\n    \r\n    \r\n    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w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eReturn the perimeter (P) of a polyshape object, which is the sum of the lengths of its boundaries.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eReturn the total area (A) of a polyshape object, which is the sum of the areas of the solid regions that make up the polyshape.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eReturn the x-coordinate (Cx) and the y-coordinate (Cy) of the centroid of a polyshape. 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sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 232px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 116px; text-align: left; transform-origin: 384px 116px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"269\" height=\"226\" style=\"vertical-align: baseline;width: 269px;height: 226px\" 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\" 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9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Round the answer to four decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eHint: use Bretschneider's formula\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaQuadrilateral(a,b,c,d,e,f)\r\n\r\nend","test_suite":"%%\r\na = 4; b = 4; c = 4; d = 4; \r\ne = 4*sqrt(2); f = 4*sqrt(2);\r\n\r\ny_correct = 16;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 3; b = 3; c = 3; d = 3; \r\ne = 3*sqrt(3); f = 3;\r\n\r\ny_correct = 7.7942;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 5; b = 5; c = 8; d = 8;\r\ne = 4+sqrt(55); f = 6;\r\n\r\ny_correct = 34.2486;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n%%\r\na = 97.7; b = 76.6; c = 110; d = 66.5; \r\ne = 151.7; f = 91.6;\r\n\r\ny_correct = 6341.4175;\r\nassert(isequal(AreaQuadrilateral(a,b,c,d,e,f),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":21,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T20:12:44.000Z","updated_at":"2026-05-31T01:02:10.000Z","published_at":"2021-02-18T20:25:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate quadrilateral Area: sides (a,b, c, d) and diagonals (e, f) are given\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"226\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Round the answer to four decimal places.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: use Bretschneider's 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45538,"title":"Find the area of ​​the square","description":"There are *n²* circles inscribed in the square ABCD. The perimeter of each circle is *aπ*\r\n\r\n\u003c\u003chttp://imgfz.com/i/3wzCeAT.png\u003e\u003e\r\n\r\nGiven *n* and *a*, find the area of ​​the square.","description_html":"\u003cp\u003eThere are \u003cb\u003en²\u003c/b\u003e circles inscribed in the square ABCD. The perimeter of each circle is \u003cb\u003eaπ\u003c/b\u003e\u003c/p\u003e\u003cimg src = \"http://imgfz.com/i/3wzCeAT.png\"\u003e\u003cp\u003eGiven \u003cb\u003en\u003c/b\u003e and \u003cb\u003ea\u003c/b\u003e, find the area of ​​the square.\u003c/p\u003e","function_template":"function y = squartArea(n,a)\r\n  y = n+a;\r\nend","test_suite":"%%\r\na = 8;\r\nn = 5;\r\ny = 1600;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 0;\r\nn = 10;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 100/pi;\r\nn = 6;\r\ny = 36476;\r\ntolerance = 1e-12; \r\nassert(abs(36476-y)\u003ctolerance)\r\n%%\r\na = 15;\r\nn = 0;\r\ny = 0;\r\nassert(isequal(squartArea(n,a),y))\r\n%%\r\na = 10;\r\nn = 2;\r\ny = 400;\r\nassert(isequal(squartArea(n,a),y))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":446926,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":61,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-18T03:38:49.000Z","updated_at":"2026-05-30T14:17:46.000Z","published_at":"2020-05-18T03:38:49.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.png\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en²\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e circles inscribed in the square ABCD. The perimeter of each circle is\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaπ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the area of the square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 21px; text-align: left; transform-origin: 383.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 192.067px 7.81667px; transform-origin: 192.067px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou have Ring which consist of inner and outer Circles with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 126.742px 7.81667px; transform-origin: 126.742px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eRadius r and R which are not given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.1833px 7.81667px; transform-origin: 59.1833px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.5917px 7.81667px; transform-origin: 96.5917px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the Area of the Ring\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(d)\r\n  area = d;\r\nend","test_suite":"%%\r\nd = 3;\r\narea_correct = 28.2743;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 5;\r\narea_correct = 78.5398;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 8;\r\narea_correct = 201.0619;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 15;\r\narea_correct = 706.8583;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)\r\n%%\r\nd = 17;\r\narea_correct = 907.9203;\r\ntolerance = 1e-4;\r\nassert(abs(your_fcn_name(d)-area_correct)\u003ctolerance)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":4033021,"edited_by":223089,"edited_at":"2024-06-12T15:22:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":"2024-06-12T15:22:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2024-04-07T14:03:59.000Z","updated_at":"2026-07-17T03:30:19.000Z","published_at":"2024-04-07T14:20:37.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou have Ring which consist of inner and outer Circles with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eRadius r and R which are not given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ebut you'll be given Hprizontal distance d which is Tangent to inner circle .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the Area of the 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44742,"title":"Find the area of a triangle having vertices (A,B), (C,D), and (E,F)","description":"Find the area of a triangle using if we have the three vertices of the triangle","description_html":"\u003cp\u003eFind the area of a triangle using if we have the three vertices of the triangle\u003c/p\u003e","function_template":"function A = triarea(x1,y1,x2,y2,x3,y3)\r\nA=b*h/2","test_suite":"%%\r\nx1 = 1;y1=1;x2=0;y2=0;x3=2;y3=0;\r\ny_correct = 1;\r\nassert(isequal(triarea(x1,y1,x2,y2,x3,y3),y_correct))\r\n%%\r\nx1 = 2;y1=1;x2=5;y2=1;x3=4;y3=3;\r\ny_correct = 3;\r\nassert(isequal(triarea(x1,y1,x2,y2,x3,y3),y_correct))\r\n%%\r\nx1 = 4;y1=0;x2=7;y2=2;x3=2;y3=3;\r\ny_correct = 6.5;\r\nassert(isequal(triarea(x1,y1,x2,y2,x3,y3),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":38144,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":45,"test_suite_updated_at":"2018-10-04T21:31:40.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-10-04T21:07:54.000Z","updated_at":"2026-05-30T00:32:30.000Z","published_at":"2018-10-04T21:31:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a triangle using if we have the three vertices of the triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":50489,"title":"Find the area between curves (P1)","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 715.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 357.75px; transform-origin: 407px 357.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20px; border-block-end-color: rgb(60, 60, 60); border-block-start-color: rgb(60, 60, 60); border-bottom-color: rgb(60, 60, 60); border-inline-end-color: rgb(60, 60, 60); border-inline-start-color: rgb(60, 60, 60); border-left-color: rgb(60, 60, 60); border-right-color: rgb(60, 60, 60); 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between curves - Problem 1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 24.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 12.25px; text-align: left; transform-origin: 384px 12.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the area between the curves \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e  and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eb\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e coefficients:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaCurves(a, b)\r\n  \r\nend","test_suite":"%%\r\nfiletext = fileread('AreaCurves.m');\r\nfor ii = [3.5773, 6.1773, 5.5773, 11.2970]\r\n    assert(isempty(strfind(filetext, num2str(ii))), ... \r\n    'Do NOT use provided answers in your solution')\r\nend\r\n%%\r\na = 1; \r\nb = 1;\r\n\r\ny_correct = 3.5773;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = 3; \r\nb = 0.3; \r\n\r\ny_correct = 6.1773;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = -1;\r\nb = 4;\r\n\r\ny_correct = 5.5773;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = pi;\r\nb = exp(1);\r\n\r\ny_correct = 11.2970;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-19T12:36:27.000Z","updated_at":"2026-05-31T01:02:17.000Z","published_at":"2021-02-19T12:40:47.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"heading\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea between curves - Problem 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area between the curves \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(x) = x^2\\\\, \\\\mathrm{e}^{- x^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x) = a\\\\, x + b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e over the interval [0 2] for different \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e coefficients:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                                                                                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"420\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"560\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                        plot of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea=b=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e)          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Ec+4iQZwQHN0GSffXQ9JKh9zOnz9/7733vvzyywkJCfX19TfffHNNTU1VVdXq1av79+8/f/781NTUqqqqnj173nPPPT/++OOpU6e8v/yTTz5p7Zm3b9/+wAMPvP766w8++KAQorGxccKECUOGDPnqq6/a2qQePXokJiaazeZXXnll7969zz//fLdu3Y4ePTp37lwd77vzgThBYbo9qEGvZ/vW6NEKKSkpa9eu9fxfwuzZs9955x33+Rd27NiRmpoaERHxww8/tDUh33777ZAhQ0aPHn3gwAHPnd99992AAQPS0tKueCxDcw6Ho7Cw0P3ut8PhKCgoGD58uKYPsQsHjZ6SnMO+5afbCUl/tDUSefvmm2969OjhPbOePXtWCDF37lwhxNixY9PS0pKTkwPYybZixYqGhgbPvjW3/v37X3/99W+++WYAQerQoYPnWKwOHTqMGDGirc9gBEFOTkKOPkFCTEiy026HPEpLS81mc3x8vPtmY2NjZGRkr169vv/++2Ce1uFwdOrUyel0Nj/16rRp095///1//vOfN9xwQzDfAm0SwOTkpkyfmJDkx4QkKY3ummtRk/fz9u/f73Q6x4wZE+TTHjlyxOl0CiFWr17dvn37Jp+dPHlyY2NjkN8CbeL/ldqbYH6CG0GSjg5GIt+sVqsQYtKkSUE+z88//+z+4O9//7vnVAuQRwB79tzok2Hpdped5s7UoKeRyLfRo0cfPnz4zJkznss3uFwul8vVrl3b/veovr7+N7/5jRDis88+u/3220O/UIRNwDv3RBB9Yped/JiQVGaEDl26dOn48eOjR48WQjQ2Nh45ciQuLs77YkKbNm3q1q3brFmz2vS0kZGR48ePP3jwYFFRUfMg7dmzZ+TIkWG60DiCFPDwJFr6lWGE0g0mJHUYoUNuLpcrISHh5MmT77333syZM90HeU+dOnXPnj3uBzgcjnHjxuXm5gZwkoWvv/568ODBgwcP/uqrr5p805EjR+bl5XHEtuYEMzx5tJgoJiT5ESRFGadDHjU1Nddee+1VV131xRdf3HDDDXfccYfZbHY4HJ6rOTz44IMzZ85MTk4O7Pmzs7MfeeSRDRs2LF++3HPnvHnzJk6cOHv27BBsAFQVkj4JIS4+uY8gyY8gKcGfDgndpcgjNTW1ffv2EydO3LFjxxNPPNG7d+8777xz7NixCQkJe/funT9/fpCnicvNzV22bNnVV189YsSIxsbG48ePL1myZNq0aaFaP6QScKIsu6r1+s+dbhCkcPEzQkK/HfJWWlpaVlY2duzYTp06ue/Jy8u7ePFiUlJSW49l8P0trrnmGs6tYDR+JsoIv2haR5BCjA4BqmsxUfzGyY+j7ELA/wgJfiuA8Gv+Wxaq96IQVgQpQEQI0BB+BzWBIPmrTQVy43cAAPyn4SBVVlaWlJT06tXLYrE0/2yQ10MKID///b4yRchisZSUlKi9CpXxQxD8EIQQ/BC08BPQapD27dv3wgsv3HbbbQUFBVOnTl26dGkATxJwdZqQKkIAoFGaDJLT6Vy1atV7770XHx9vt9vHjx8/derU3r17N3lYqHrTIiIEAKGlySB9/vnnUVFRA3f01QAABHlJREFU7uvrREdHjxkz5vDhw82DFFpTCq/61e2W9hNKqMX9mUbDD0HwQxBC8EOQniaDVFdX179/f8/NLl26lJaWNnlMSUlJMAd6Nh+ApN7zCgDap8kgOZ1O7z/FN5vNLpcrsKdizxsASEKTQerYsaP7UqFuLperxRNFExsA0BBNnvLruuuu+/bbbz03a2trExMTVVwPACB4mgzSsGHDhBCHDh0SQpw6dSo/P3/EiBFqLwoAEBStnlz16NGjy5cvj4+PLyoqysjImDRpktorAgAERatBAgDojCZ32QEA9IcgAQCkoMnDvq/I93lX9crHVtvt9vLycs/Nfv36de3aVdnVqclqtY4ePVrtVSiqxU027MugrKzs9OnT0dHRQ4YMUXstyvGx1dK+EnQYpJCcd1VzfG/17t27N27c2LFjR/fNrKysUaNGqbFMFWRnZ2/fvt1qtaq9EOW0tsnGfBlkZGQcPHgwMTGxtLS0c+fOOTk5np+AjvneanlfCb/oS2Nj4+DBg0+dOvXLL7/U1NQMGjTo+++/V3tRYXfFrV62bNnbb7+tzuLUU1tbu2LFisGDB48aNUrttSjE9yYb8GVQXFyckJBQW1vrvpmcnLxjxw51l6SAK261tK8Evb2H1OJ5V9VeVNhdcauLi4v79u1rt9sbGhpUWqMKMjMzo6Oj165dq/ZClON7kw34MoiKitq8eXNUVJT7Zp8+fc6e1f8JXK641dK+EvS2y86f867qj++tdjqdZ86cWbNmjd1ur6urmzFjRkZGhhrLVNrKlSvNZrP7D6gNwscmG/NlEBsbGxsb6/64oqIiNzc3LS1N3SUpwPdWy/xK0NuEFMLzrmqI76222WxJSUlbtmzJz8/Pzc21Wq3bt29XY5lK8/6ZGISPTTbsy8DNZrPNnTt30aJFAwYMUHstymlxq2V+JejtN7b5eVfbtdPbFNic762Oi4vLysqKi4sTQsTExEyYMKGgoECFVUJVRn4ZFBYWTp8+fc6cOUYYjzxa22qZXwl6C5Ixz7vqe6srKip27tzpuelwOCIiIhRdHyRg2JdBfn7+Qw89tHr16nnz5qm9FuX42GqZXwl6C5Ixz7va2lafOHGiurq6vr5+1apVZWVlQgibzXbgwIEpU8J4cXfIxsgvg8rKysWLF7/44ovjxo1raGhoaGjw3pegV61ttfyvBL3tzjKbzevXr/ecd3XdunXXXnut2osKu9a2OjMzc/LkySkpKenp6ampqQMHDiwsLFyyZIksf3MARRj5ZbBt27affvpp4cKFnnvuv//+lStXqrgkBbS21fK/EnR7ctXLly9HRkYa7W1tH1vtcrnq6+sN+DOBN14GcJPzlaDbIAEAtEWiNgIAjIwgAQCkQJAAAFIgSAAAKRAkAIAUCBIAQAoECQAgBYIEAJACQQIASIEgAQCkQJAAAFIgSAAAKRAkAIAUCBIAQAoECQAgBYIEAJACQQIASIEgAQCkQJAAAFIgSAAAKRAkAIAUCBIAQAoECQAgBYIEAJACQQIASOH/AwLTw009zNUfAAAAAElFTkSuQmCC\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":50452,"title":"Calculate Triangle Area: A, B and Beta is given","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 275px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 137.5px; transform-origin: 407px 137.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate Triangle Area: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eB\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBeta\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e [degree] is given as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 215px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 107.5px; text-align: left; transform-origin: 384px 107.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                                            \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"269\" height=\"209\" style=\"vertical-align: baseline;width: 269px;height: 209px\" 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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e Round the answer to four decimal places\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaTriangle(A, B, Beta)\r\n\r\nend","test_suite":"%% \r\nA = 4; B = 4; Beta = 45; % [degree]\r\n\r\ny_correct = 8\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n\r\n%%\r\nA = 6.39; B = 4.9; Beta = 32.9; % [degree]\r\n\r\ny_correct = 15.3134\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n\r\n%%\r\nA = 257; B = 567; Beta = 23.8; % [degree]\r\n\r\ny_correct = 41099.6329\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n\r\n%%\r\nA = 2*pi; B = 3*pi; Beta = 56.3; % [degree]\r\n\r\ny_correct = 29.6088\r\nassert(isequal(AreaTriangle(A, B, Beta),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-18T16:37:21.000Z","updated_at":"2026-05-31T01:02:07.000Z","published_at":"2021-02-18T16:44:29.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate Triangle Area: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBeta\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e [degree] is given as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"209\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"269\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Round the answer to four decimal 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the area of the four walls ","description":"If length, breadth and height of the walls are given, find the area of the four walls.","description_html":"\u003cp\u003eIf length, breadth and height of the walls are given, find the area of the four walls.\u003c/p\u003e","function_template":"function a = your_fcn_name(l,b,h)\r\n  %your code\r\nend","test_suite":"%%\r\nl = 1;\r\nb = 1;\r\nh = 1;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(l,b,h),y_correct))\r\n\r\n%%\r\nl = 20;\r\nb = 10;\r\nh = 15;\r\ny_correct = 900;\r\nassert(isequal(your_fcn_name(l,b,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":22816,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":295,"test_suite_updated_at":"2014-04-14T15:16:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-04-14T05:59:25.000Z","updated_at":"2026-07-18T03:26:20.000Z","published_at":"2014-04-14T05:59:25.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml 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Considering the vertical shift of its vertex to the origin, find the positive constant, k, that scales the shifted parabola such that its area over the interval [-a; a] (a\u003e0) will be equal to the area under the original parabola (see figure below).\r\ninput: (p, a)\r\noutput: k\r\n\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 447.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 223.9px; transform-origin: 408px 223.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLet \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e be a quadratic polynomial, with its axis of symmetry being the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ey\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-axis. Considering the vertical shift of its vertex to the origin, find the positive constant, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, that scales the shifted parabola such that its area over the interval \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[-a; a] (a\u0026gt;0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be equal to the area under the original parabola (see figure below).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(p, a)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 255.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 127.9px; text-align: left; transform-origin: 384px 127.9px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"326\" height=\"250\" style=\"vertical-align: baseline;width: 326px;height: 250px\" 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\" alt=\"Scale parabola\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = scale_parabola(p, a)\r\n  k = x;\r\nend","test_suite":"%%\r\np = [1 0 1];\r\na = 2;\r\nk_correct = 7/4;\r\nassert(isapprox(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [1 0 -1];\r\na = 2;\r\nk_correct = 0.25;\r\nassert(isapprox(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [5 0 0];\r\na = 0.5;\r\nk_correct = 1;\r\nassert(isequal(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\nfiletext = fileread('scale_parabola.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\np = [-3 0 1];\r\na = 1;\r\nk_correct = 0;\r\nassert(isequal(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [-3 0 2];\r\na = 1;\r\nk_correct = -1;\r\nassert(isequal(scale_parabola(p,a),k_correct))\r\n\r\n%%\r\np = [-3 0 2];\r\na = 3;\r\nk_correct = 7/9;\r\nassert(isapprox(scale_parabola(p,a),k_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":4993982,"edited_by":4993982,"edited_at":"2026-01-16T14:57:57.000Z","deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":"2026-01-16T14:57:57.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2026-01-10T14:36:03.000Z","updated_at":"2026-07-08T09:10:51.000Z","published_at":"2026-01-15T14:52:59.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLet \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e be a quadratic polynomial, with its axis of symmetry being the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e-axis. Considering the vertical shift of its vertex to the origin, find the positive constant, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, that scales the shifted parabola such that its area over the interval \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[-a; a] (a\u0026gt;0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be equal to the area under the original parabola (see figure below).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput: 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i0Q1AiK+v76JFiyoqKt58882dO3eOGTMmODj4zJkze/fuLSwsnDRpkq3muW4BAQEvvvjiyy+/PHny5Oeff54Qkpqa6lrH0AceeCA4OHjz5s0VFRURERF5eXm7du0qLS2tqqpil2Q7xFxnrFixYurUqZMnTy4pKUlPT69j/Eqlsn///jk5OXPnzh07diwhZP/+/UePHrVarX/++SezJZoQUlVVNX/+/F9++eXhhx/eu3fv999///TTTz/yyCMufHcATqGaazl3mBXFrSI0IUStrknrI9ENQAghJCAgYO3atePGjfvoo49Wr159586d5s2bR0VFrVmzJjIy0vml1sGDB6empr711lvLli279957J06c+I9//GPevHkNHU+nTp02bNig1WrT0tL++uuvzp07z5kzJywsbPr06Xl5eewsukPPP/98u3bt3n333UWLFt13330zZsy4detWWu05sxdeeIEQ8sknnyxatKh58+YxMTFff/31xo0bc3JySktLmc1dnTp1SkxM/PDDDz/++OOOHTsuXbp04sSJIizJg/diH2alVrsWrRSy6puzdu1aQsjs2bNrfYROZzeNltPg62WxWK5evdqpUyepByKUq1evBgYGsjtLyEH9v1RQu40bN27YsGHbtm3sVWHxzZs379ixYzt37mzbtm1Dn2symWbMmFFUVOTa0yny/HUym82lpaUdOnSQeiBCuXz5cocOHdh7B+TOYCB/L/EQQkhaWh1Z7jp+qdxtRwGOugIQxvXr14cPH56SkmK7ajcajXq9PigoqHXr1qIN49SpUzExMTt27LDdU1hYePz48eDgYGqLM4B8sVPcDTnMiuI+lyQ27EQ3jroC4ElQUNBDDz300UcfXb16Va1W//nnn59++mleXt7ChQvFnJyFhoaqVKq33nrr7NmzDz/88I0bN1JTU4uLixctWmTr0Akgd+wUdyM6YLphhJ42rSZC63QkKQkdQAEaz8fHZ+HChQEBAV999dWuXbuaNGny4IMPfvzxxwMHDhRzGEqlMiUlZdWqVbt3705PT2/atGmfPn02b958//33izkMANc14jArihtGaG5FN6bRAHxQKpULFixYsGCBtMNo06bNihUrVqxYwcurNegMbAAeNOIwK4q7rUMz2CGZ3fUUAABAWo04zIrinhGavbGMOeoKAABAco07zIrinhFao7Fbe2avyQMAAEilcYdZUdwzQhP71AH2XIF3q6ys3Lp164gRI7p37x4WFtanT59XXnnl/PnztgdkZmaGhYVt3LixtleYN29eTEzM9evXCSFWq3Xbtm29e/cOCwt77rnnbt261cjhbdy4kcdjMxrDZDJNnjzZ9p0C8K9xh1lR3LBSjIGjrgAIIYQYjcZXXnklOzu7Y8eOcXFxTZs2PXPmzIEDBw4ePPj+++8PHz68oS+Yl5f33nvvhYaGxsfHd+rU6Z577tmxY0d1dfXkyZOFGD+A52j0YVYUt43QOOoKgBBCiF6v//HHH+fOnfviiy/ajs04c+ZMfHz82rVrH374Ye5RylwpKSm2/y4uLjYajTNnzmSi+6lTp955550XX3xRoPEDeA5eU9zEjbPcxH6TGRLd4K2OHDmiVCpjYmJs4ZkQ0rNnzwkTJly5cqWoqMi1l0XPaoCGMRjsIhEf24DdOUKjAygAIV26dDGbzQbOjoZ58+adPHkyMjLSdo/ZbN68eXO/fv3CwsKio6P37NlTXV1te3BMTIzBYJg8efKMGTMIITNmzIiIiEhNTY2LizMaje+++65tLbmqqmrr1q3R0dFhYWE9evSYNWsW+zrAarUeOXJkxIgRXbt2DQ8Pf/PNN+teyTaZTCtXrmSWvYcNG3bw4MFJkyZNnjzZZDIxy8aJiYmpqak9evQIDw/fs2cPIeT8+fMJCQl9+vQJCwvr3r37iBEjDhw4wDQrvX79ekxMTGJi4t69e6OiosLCwqKiorZu3Wo75Ipx7ty5SZMmde/enTt+ABdRnT5dOsyK4rZZbgY6gIJLXNug19DmdeK8y+OPP56WljZ37lzm6MlHHnmkXbt2Ds+z2rBhQ/v27V9++WVfX9///ve/c+bMUSgUzJHJDF9f31deeSUiIuKjjz564YUX+vTp06VLl9dee+2DDz4YNmzYsGHDQkJCqqqqkpKStm/fHh4ePmvWrJKSEp1Op9FodDodc6r0N998M2fOnHbt2i1dupQQkpqaeu3atdrOUzGZTC+99NKRI0dGjx49aNCgn376adasWVar9eGHH7Y9JjMz8+TJk0uXLi0uLg4PD8/Ly4uPj7/33nsTEhK6dOmSl5e3c+fOOXPmBAYGRkVF2Z6SnZ09atSoiIiIjIyM5OTk8+fPJ/99WG9hYWFCQsLIkSOnTJly+PDhjIyMK1eu6HQ65jhqABdRnT75WHh18wiNDqDgEvapM85r6FFqLryLRkNqP2XRsfvvv3/79u2vvfba4cOHDx06RAhp3rx5bGxsfHw8dfTkgw8+mJqaypzG+NBDD02dOpUJY7YH+Pr6RkVFmUwm5gHMMZF37tzZsGHD/fffP3ToUEJIdnZ2RkbG+PHj33nnHSYTHh0dnZCQ8O67765ataqysnLLli2dOnWyBewhQ4ZoNJraaqezsrJ+/vnn+fPnJyQkKBSKuLi4iIgIrf3+SbPZ/MYbb8T8PSNZs2ZN06ZNN23a9MADDxBCRo4cGRUVNWPGjNzcXFuEvn379ooVK5h19JEjRy5evHjPnj1jx45lnkIIeeedd8aNG0cI+ec//+nn57dr1y6DwSDt+V3g3vjr9Mnmzlluwkl0s/+BACTl2gS6oeGZERoaunPnzpycnJSUlBEjRhBC9u3bN2HChCVLlrCzu4MHD2bCMyEkODi4a9euV65cYeKx87755psmTZqwD1eOiIhQq9W//PLLlStX8vPzL1y4EBcXx4Rn5o3i4uIcvpTFYvn222+Dg4NHjRrFXEkoFIrhw4d3796d/bD27dv37NnTdvPVV189fPiwLdYSQoKCgqg5elRUlPrvGYyvr+/EiRMtFktubi5zT8eOHW2xXKFQDBgwwGg0FhcXN+jfAcAOf50+2dx8Dk0I0WhqVqDT05HoBoE0NDvj2jS9Mdq0aTNu3Lhx48ZZrdazZ88uXLjws88+GzBggG2WTB2ve889Db5Av3XrVlFRUfPmzS9dusSeFldXVxuNxtLS0pKSEpPJ1KNHD/azqJs2ZrP5jz/+6NChAzu97O/vHxQUxH5Yhw4duOdOVlRUnD59+rfffjt69GhOTo7RaGR/tXXr1v7+/rabrVq1UiqVZ86cYW7ec8897H8K1MQBD6gqbp64f4SOiamJ0EwHUCS6QQAFBVKPwBGmZuqRRx5Zvny57U6FQtGzZ8+33nqLm8duJKvVarFYbt68uXjxYu5XS0pK+HojNupKorCwMDEx8dixY4SQpk2bdu3atW/fvj/88EO9r4NIDEIRJsVNhI7QFRUVGzZs+OKLL27evNm8efORI0fOmjXLlv7ih0ZDtNqalKJW62KiELyJCOFWnIjeunXr5s2bHz9+vKSkhNr37Ofn16xZM37DklKp7NKly+XLl3fs2NGxY0fuA06dOhUQEJCbm8usYTMuXrzo8NX8/PyCgoJ+/fVXo9FoO/v5zp07ZWVlrVq1cviUysrKZcuW5efnb9q0adCgQc2aNWPe9KeffmI/rKys7Pbt28xXCSHFxcXl5eXdunVr+HcM4AS+t0HbCLgOfeXKlWnTpn300UctWrSYOHFiWFjYzp07NRoN/xsb0AEUGkilavD/RHgLF94lKCho9OjR58+fX758eUVFhe3+ysrK1NTU8vLyxx57rMEvaq9JkyY+Pj4Wi4W5+cgjjxQXF+/bt8/6d+Gc0Wh87rnnBg8eXFBQoFKpunXrduDAgcLCQuarpaWl3377rcNX9vHxefLJJ4uKivbu3Wt7tcOHD1+6dKm2wRiNxnPnznXt2jUqKooJwNXV1dnZ2dRC8rFjx06fPs38d1VV1VdffdWiRYvo6OhG/UMAOERNoHntnSXUHNpqtW7ZsuXkyZPz58+fMWNGkyZNrFbr5s2bV65cuWXLliT+kgCEoAMoeLUpU6bk5eXt3r3766+/7tevX6dOnW7evHnkyJE///zzmWeeYc9lXdO6dWulUvn111+HhIQMGDBg2LBhP//888qVKw8fPjx27NiKiort27efO3duwYIFKpVKoVAsWbIkISHh6aefZvZV173bKjY2duDAge+99965c+eY3VaZmZm1PZgQEhQUFBkZuW/fvtdee23o0KEVFRUZGRlnz55VKBTspWij0ajRaJ5//vkuXbqkp6efPHlywYIF999/f+N7jAPQeD3MiiLUHPrixYv79u0bNGiQRqNhWh0xOy87d+584cIF9sU+D9Rqu5CME6PBmwQEBKxdu3b9+vUPPvjgsWPHtm/fnp2d/eCDD27evFmr1TY+y92mTZuEhITCwsK5c+cePXrU19d3yZIlS5cu/f333xMTE998801CyAcffPCvf/2LqceOjIz85JNPOnXq9NZbby1fvrx3797MxmiHlErlunXrnn322YMHDyYmJp45c2bVqlXsym2Kj49PcnLypEmTfvrpp7lz577//vt9+vT55ptvBgwYUFBQYAvS/fv3X7Ro0WeffZaYmHjr1i328AB4JsA2aBuFtaF7PJ1z4MCBl156afXq1WPGjHH+WWvXriWEzJ49u8Hvp9OR+Piam8J8U41ksViuXr3aqVMnqQcilKtXrwYGBtYxAZKE679UIIXr168/9dRT/fr1Y7cKb+jTg4ODN23aZFvb5pE8f53MZnNpaWmHDh2kHohQLl++3KFDB2ozgiwYDHbbNtLSXNhPVMcvlVBz6EuXLjFFJQcOHBg6dCjT/2/hwoVCdddDB1AAN7R58+Zhw4ZduHDBds/Ro0evXbuGqi5wD9Q2aL63+woVoZkuwRs3bnz11VebN2/+1FNPtW3b9vPPPxekUozB/qfJzhbkLQCAVwMHDrx58+b06dPT09P379+v1WoXL14cGho6evRoqYcG4ARhtkHbCJg0MJlM2dnZa9asYXrvVVdXb9q0KSUlhekOWFu+Iicnh7onIiKC3f2/Nj4PPaS0TZ11OlNioiUkpDHj553FYikvL/fg3r8VFRUKhUJuWW6z2Sy3IYFNr169Pvzww5SUlOXLl9+5c6dly5ZPPfXUq6++2qJFC6mHViuz2VxWVib1KOyYzeaKigp2kxYPU15e7u/vL7cst09hoZI1hzYlJlqc+MXIzc09ceIE+56cnBxbkzv6LRo3wnpMmjRp2LBhzH83adJk8uTJBw8eZLoDdu7cmd/3skydSlatqtkYrdeTqVP5fYtGslqtqFUBoPTr12/Hjh18vVrbtm2zkULzOAqFUCVTjeGzbVvNDZXKIsB2PqEiNFNB2r17d3ZMatmyZdeuXfPz88vLy2t7YlRUlOtVGGq1bQVaOWsWefllF19HGBaLxWw219aKwQNUVla2atVKbhNWuY0H3J2fn5/c/orNZrPVapXbqHhkNBoDAwPlNocmR4/W/Lda7eS/v1qtVjtd7y3UOjRT6GE2m9l3Wq3Wv/76S6B3JISzEQ0HaQAAgBD0euG2QdsIFaF79+7t5+f3008/VVZW2u68cePG6dOng4KCWrduLci7qtV2a/XYGA0AAEIQrNMnm1ARumfPnpGRkTk5Ofv372fWD6qrq7/44osLFy7Exsa2b99eoPe1a1mOPVfgHSorK7du3TpixIju3buHhYX16dPnlVdeOX/+PC8vvnHjxoiIiFOnTknydB6ZTKbJkyfHxMTUdlg1gLMMBrv4ItiZikJFaKVSuXjx4rZt2y5YsGDMmDELFy4cOnToe++917Nnz+nTpwtYMIWN0eBljEbjv//97+Tk5IqKiri4uEmTJqlUqgMHDowePfrAgQNSjw7AE1HHv8fECPQ+Ai689+rV67PPPlu3bt2333576tSp++6774UXXnjxxRcF30ehVtcsD2Rn48Ro8Gx6vf7HH3+cO3fuiy++yHTYJYScOXMmPj5+7dq1Dz/8MHXmFQA0FrvTJ9V2mlcCnm1FCAkODl6xYsXx48fz8/OPHTu2YMECMbY5slfsdTr6YgfAsxw5ckSpVMbExNjCMyGkZ8+eEyZMuHLlilANggC8lmCnQXMJG6GlQU2aUdENHq1Lly5ms9nAuRKdN2/eyZMnbd1+Kisr09PTo6Ojw8LCevToMX36dNtCdXV19f79+0eOHNmjR4+wsLDw8PCEhISCWg64rqqq2rp1q+11Zs2axb4IsFqtR44cGTFiBNPo980336z7OCmTybRy5crevXuHhYUNGzbs4MGDkyZNmjx5sslkYpaNExMTU1NTe/ToER4evmfPHkLI+fPnExIS+vTpExYW1r179xEjRhw4cIApdrl+/XpMTExiYuLevXujoqLCwsKioqK2bt1aVVXFftNz585NmjSpe/fu3PED1I/q9CnkUYoy217GF42mZgVaq0WiG2jsJJV7iYmhPhEef/zxtLS0uXPn7ty5c8yYMY888ki7du2oUo+qqqo333xzx44d0dHR8+bNKyws1Ol0U6ZMSUtL5mdwtwAAIABJREFU69WrV2pq6nvvvde/f3+tVtusWbPMzMxvv/326tWrH3/8cWBgIPU6SUlJ27dvDw8PnzVrVklJiU6n02g0Op0uODiYEPLNN9/MmTOnXbt2zHlWdR89aTKZXnrppSNHjowePZo5enLWrFlWq/Xhhx+2PSYzM/PkyZNLly4tLi4ODw/Py8uLj4+/9957ExISunTpkpeXt3Pnzjlz5gQGBtq6MmVmZmZnZ48aNSoiIiIjIyM5Ofn8+fPJycnMVwsLCxMSEkaOHDllypTDhw9nZGRcuXJFp9N5cLM/4Bm7ilvgk449NEKzT4xmMhI4MRrY/v68dj/JydQv8/333799+/bXXnvt8OHDhw4dIoQ0b948NjY2Pj4+MjKSCdVHjhzJyMj497//PXfuXOaeRx999OWXX87KygoODs7Ozh40aNB//vMfpm1kXFycVqvdtWtXYWEhFaGZ1xk/fvw777zDdCWKjo5OSEhgWvlWVlZu2bKlU6dOtoA9ZMgQjUZTW+10VlbWzz//PH/+/ISEBIVCERcXFxERobW/eDKbzW+88UbM35U4a9asadq06aZNmx544AFCyMiRI6OiombMmJGbm2uL0Ldv316xYgXTbHjkyJGLFy/es2fP2LFjmacQQt55551x48YRQv75z3/6+fnt2rXLYDCEh4c34qcCXkOUbdA2npjlJtgYDd4lNDR0586dOTk5KSkpI0aMIITs27dvwoQJS5YsYRK8er2+ZcuWo0ePts2t+/Tpc/jw4VmzZgUGBm7btu2///2vrauzQqGobT/kN99806RJk4kTJ9qOnY6IiFCr1Uwr3/z8/AsXLsTFxTHhmRASHBwcFxfn8KUsFsu3334bHBw8atQoZlQKhWL48OHdu3dnP6x9+/bs46JfffXVw4cP22ItISQoKIiao0dFRdl6Nvn6+k6cONFiseTm5jL3dOzY0RbLFQrFgAEDjEZjcXFx7f+6ACyibIO28dA5NCEkKanmxGidjqSlSToaAMG1adNm3Lhx48aNs1qtZ8+eXbhw4WeffTZgwIBRo0YZjUZ/f/+WLVvW9tzq6upr166dOXMmPz//0KFDx48fv+ce+vL91q1bRUVFzZs3v3TpEntaXF1dbTQaS0tLS0pKTCZTjx492M+ibtqYzeY//vijQ4cO7PSyv79/UFAQ+2EdOnS49957qedWVFScPn36t99+O3r0aE5OjtFoZH+1devW7DMkWrVqpVQqz5w5w9y855572M0jbZcaAPUTaxu0jedGaI2mJkITQnQ6rEZDDff9ZejShX2LKZt65JFHli9fbrtToVD07Nnzrbfemjp1KrMiW8frWa3W77//fuHChX/88QchpGXLluHh4Q57jFitVovFcvPmzcWLF3Nfp6SkxPVvqnbUhUJhYWFiYuKxY8cIIU2bNu3atWvfvn1/+OGHel8HkRh4wK7HVKmE2wZt47kRmmBjNNTOU3IqrVu3bt68+fHjx0tKSqh9z35+fs2aNWMiU0BAQGVlZXl5edu2bZmvlpeXP//886GhofHx8a+//nq3bt2WL1/euXNnZsvWxo0buRFaqVR26dLl8uXLO3bs6NixI3cwp06dCggIyM3NHTJkiO3OixcvOhy5n59fUFDQr7/+ajQalUolc+edO3fKyspqO4GgsrJy2bJl+fn5mzZtGjRoULNmzZg3/emnn9gPKysru337NvNVQkhxcXF5eTlzUgBAo7CLJIRPcROPXYdmYGM0eLqgoKDRo0efP39++fLlFRUVtvsrKytTU1PLy8sfe+wxQoharS4vL8/MzLQd4ffjjz/m5eX17t376tWrJSUl0dHRoaGhTHguLS3V6/Vms5l7Bt0jjzxSXFy8b98+2+sYjcbnnntu8ODBBQUFKpWqW7duBw4cKCwsZL5aWlr67bffOhy5j4/Pk08+WVRUtHfvXturHT58+NKlS7V9s0aj8dy5c127do2KimICcHV1dXZ2NrWQfOzYsdOnTzP/XVVV9dVXX7Vo0SJagJMBwbuIuA3axqPn0FSiW6/HNBo8z5QpU/Ly8nbv3v3111/369evU6dON2/ePHLkyJ9//vnMM88w09lHHnlk/PjxKSkpOTk5Y8eOPXHixBdffNGzZ8/hw4ebzebg4ODNmzdXVFRERETk5eXt2rWrtLS0qqqKOpuOEDJs2LCff/555cqVhw8fHjt2bEVFxfbt28+dO7dgwQKVSqVQKJYsWZKQkPD000/PmDGD1LfbKjY2duDAge+99965c+eY3VaZmZl1nBYaFBQUGRm5b9++1157bejQoRUVFRkZGWfPnlUoFOylaKPRqNFonn/++S5duqSnp588eXLBggX3339/3TuzAeohbo0Yw6MjNLHfGB0fjwgNnicgIGDt2rUjR47cvHnzsWPHDh8+3LRp04iIiBdeeMHWaMzX13fJkiUPPPDA5s2b586d27x589GjR8+bN4/ZTLVhwwatVpuWlvbXX3917tx5zpw5YWFh06dPz8vLY+er2a+j0+kSExPvueee7t27f/DBB8OGDWPqsSMjIz/55JOlS5e+9dZbTZo0eeKJJ2bMmPHuu+86HLlSqVy3bt2aNWt27ty5e/fuBx54YNWqVVu2bKntO/Xx8UlOTlYqlXv27Pnmm29atmwZFxe3Zs2a119/vaCgwBak+/fvP2bMmDVr1pSUlHTt2pU9PADXsSfQYm3fVdjyS3Kwdu1aQsjs2bN5e0W9nsTG1tzMypJwY7TFYrl69WqnTp2kGoDQrl69GhgYWMccSBL8/1KBYK5fv/7UU0/169cvJSXF5acHBwdv2rTJtrbNL3n+OpnN5tLS0g4dOkg9EKFcvny5Q4cO7CJ8sQkZSur4pfLodWiCjdEA8rV58+Zhw4ZduHDBds/Ro0evXbuGqi6QHSlS3MTzIzTBidEAMjVw4MCbN29Onz49PT19//79Wq128eLFoaGho0ePlnpoACyib4O28YIIjROjAWSpV69eH374Yfv27ZcvXz5r1qzdu3c/9dRTn3/+ucOtXACSoY7KELjTJ5unV4oxsDEaQJb69eu3Y8cOvl6tbdu22dnZfL0awF1Uipu9ciowL5hDE2yMBgAAl0ixDdrGO+bQGg3RamsCs1brMS2lwBk5OTlSDwE8RE5Oju3gDfAKEtWIMbxjDk3st69hKdqbDBgwgJePVIvFYjKZGv86slVWVib1EARkNpu5DVhcEBUVNWDAgMa/DrgHqkZM9M263jGHJoQkJdn9Q+PEaK8RFRXFS4Q2mUyVlZVU72tPUlBQEBoaKvUohFJSUuLv7y/QJmnwWAaD3aqoiDViDK+ZQ1PZCWyMBgCAurGPylCrxZ/XeU2EJqgXAwAAp1E1YqJPoIl3RWhqkxX7nx4AAICN2gYtxTZdb4rQxD5Is9MXAAAAbOzFUInqlrwsQrPTFFQGAwAAgKHXS57iJl4XoXGQBgAA1EvSbdA2XhahCQ7SAACAOkl3VAbF+yI0DtIAAIA6SHdUBsX7IjSxD9JIdAMAAJt0R2VQvDJCx8TU/Ldej43RAABwl6RHZVC8MkJrNHbXRNh2BQAADHnUiDG8MkITHKQBAAAcBgNJTq65KfXxDd4aoanTJxGkAQCAWvSUrkaM4a0RmthfHGVnSzYMAACQCamPyqB4cYTGQRoAAGAjpxoxhhdHaNSLAQCAjZxqxBheHKEJ6sUAAIAQwukjJoPwTLw9QlNJDARpAADvZDDYrXVKXSPG8O4ITeUxUC8GAOCdZFYjxvDuCE1QLwYA4PWoGjF5TKAJIjR9kAbadAMAeBuqRky6w6woXh+hiX2QZneTAQAAj0dNoOWR32YgQnMSGuwfFQAAeDa5prgJIjQhnKIAJLoBALyHLGvEGIjQhBDUiwEAeCUZT6AJIvRdqBcDAPBCcq0RYyBC/w31YgAAXkXGNWIMASP0H3/8MWLEiDCOefPmCfemrkO9GACAV5F3ipsQ4iPcS1+7dq24uLh58+aBgYHs+6mbcsEUCNh+WunpMryeAgAA3rBrxORxVAZFwAhdXFxcVla2ePHif/3rX8K9C5+mTauJ0DodSUqyO/wKAAA8hvzOmuQSMMt97tw5QkhYWJhwb8Ez1IsBAHgJedeIMYSK0Far9fz58/fdd19ISIhAbyEI1IsBAHg8WZ41ySVUhL5169aVK1cCAgK+/PLL6OjosLCw8PDwhQsXFhUVCfSO/KAqBXAeJQCA55HlWZNcQkXoP/744/LlywUFBdu2bfvHP/4xceLEtm3bfv755+PGjTtx4oRAb8oDqqEMzqMEAPA8Mu4jxiZUpVh5eXmTJk0effTRDz74gCnerq6u3rRpU0pKysqVKzdt2qRUKh0+MTMzZM0aMnNmjp/fUeaeiIiIyMhIgcbJ5TN+vJJVL2ZKTLTwlKi3WCzl5eUBAQG8vJoMVVRUKBQKPz8/qQciCJPJdPv2bV9fX6kHIpSKioqysjKpRyGU8vLy27dvWywWqQciCLPZXFFR4e/vL/VAhFJeXu7v7+/jw0/A8iksVLJqxEzjx1tE/M3Pzc21TVMtlpD//Gd8ZGStVwhCzaHDw8N//PHHjz/+2La3qkmTJlOnTo2MjMzLy7t06VJtT9y3b7zBIOUSsGXqVHYJt89bb/H1ylarVaFQ8PVqID6r1Sr1EMBF+NNzawqFgse/Pp9t22puqFSWqVP5euWG2rhxgMFAdu+eXdsDBNxtxRUQEBAaGnr8+PGSkpK6H2k2R0VEREmWeFCrbSvQfjt2+G3fzsurWiwWs9ncqlUrXl5NhiorK1u1auWpc2gfHx/mG5R6IEIpLS314O+uqqrK39+/ttSduzObzVar1YN/fEajMTAwkJ85tMFAduyoualWi/zvplar1Wo1IUSnIxcv1vNgAXdbMVlB7v0KhaJJkyb1Pj0+XoAxOYnaGId6MQAAzyCPGjGDwW4pvDZCReiUlJTevXunpaWx7ywpKcnLy3NyC5bBIF2QpprLoF4MAMAzyKNGLD3dqTMUhYrQsbGxSqUyIyOjoKCAuaeysnL16tXnz58fOnRoaGhobU/088ux/bdOJ117bJxHCQDgYeTRR4yqtWJHPYpQEbpv374vv/xyfn7+8OHDZ8yYMW/evNjY2B07dvTv33/27Nl1LCfMnHmUfdOZPIAgNBq7lp+SjQMAAHgij0bc7PSwSkWGDTta2yOFitAKhSIhISE1NTU8PDwrK+vLL7/08fFZtGjRli1b2rRpU8cTVSq7iwu9XrppNPuHh6VoAAC3Jo8+YlRuWKOpayACVoopFIqYmJidO3deuHAhPz//0KFDCQkJztRSUidWxMYKN8Y62S+iI0gDALgxdmBUqSSpEaMKxFSqehLtAkboxqCCo2QlY+xrGxykAQDgvqijMqSYQ2u1dkVNVKTjkmmEpirsJCsZY19kSZlwBwCARqA+wKWoEeNm2eu9SJBphCaciwtpSrWoejFMowEA3JHUE2hq/7BKVf8Emsg5QnNLxqRZCGZfamHbFQCA26Fmr1IcBU3N4anZX23kG6EJIUlJdhc68fFSxEfqZ4lENwCAe6FqxERPcXMn0E4OQdYRmnAWC6QpGWMHaSmbkQIAQMOxU9wSFYixOZPfZsg9QqvVdvFRmmotqigf02gAAHdBhQ3RN1lRS7R1b4CmyD1CEznsvKJK7lAvBgDgLiTtI+ZagZiNG0RoYh+knTwShGdo0w0A4HakbsRNnZDR0Pd3jwhNpQWSk0XPNFP1YmjTDQAgf9QmK3GruKkTMqhFW2e4R4Qmctgezf6nRQdQAACZ40ZIcblWv83mNhFa+u3R1L8ugjQAgJxRuVZxa8SoVpiuHUXtNhGacE7UEHt7NFVigHoxAAA5ozZZiTiHbmSBmI07RWgiea4bbboBANyCpDViLm+AprhZhJb4RA206QYAcAvSbbJqzAZoiptFaEJIVpbdTbG3R6NNNwCAzEnXiNvlBp8OuV+EJpzt0aIGaeonjWk0AIDcSNeIm7sB2pkTMmrjlhGaShpIkOu2YdeXAwCA5AwGqRpxN34DNMUtIzSRtmSMKtnHtisAAPmgasTE2mTFb36b4a4Rmrs9WrwgjTbdAACyxQ4GIm6y4p4A3fh3dtcITTinRycni1i2hW1XAAAyJNEmKyEm0MStIzSR8PRobLsCAJAhiTZZ8dKfhMu9I7SUp0ejTTcAgKxItMmKqlaeOpW3CwP3jtCEkLQ0u9lsbKxYuW606QYAkBVqk5UoNWLc/Pabb/L24m4foQmnrlvUXLcE7woAAI5QZ002Ziey0/hq8OmQJ0RoqlhPvFw3dYGGejEAAKlQH/2i1IjpdLw1+HTIEyI0kaoVKLZdAQDIhOg1YgYD/Z68XxV4SIQmUrUCZU+jxe5tBgAAhBBpNllptXw2+HTIcyK0NK1Ase0KAEBy1GRW+Cpu6gCrxjf4dMhzIjSRqmSM2naF064AAMQk+iYrbv02vwViNh4Voal/JmqRQChUOgXTaAAAMYm+yYo6wIrKpfLIoyI04eS6k5PFynWz3xIAAMRBTcXUaqE3WXEPsBJu1dvTIjSRJNeN064AACRhMNjNZwWeQAvUf7s2HhihqWOvxMh1Y9sVAIAkxD3JKj2d/wOs6uCBEZo4OvZK8Fw3TrsCABCZuF1KqPy20BNo4qkRmoif68a2KwAAkYnYpUS0+m02j43QEuS62VdT2HYFACAocbuUiJzfZnhshCbi57qpTXhi7PQCAPBW1DkZQm6DFj+/zfDkCE04F1WCB00cGg0AIALunich30r8/DbDwyO0Wm33Q9TrBQ7SODQaAEAEVEZUyE1WkuS3GR4eoYnIuW6Vijz5ZM1NJLoBAITATnEPHixczJQqv83w/AhNODNbYeu6J02q+W+qkAEAABqP2mT1xhsCvY+E+W2GV0RoKtctbF03lQHBNBoAgF9ibbKSML/N8IoITUTOdaN7CQCAQMTaZCVtfpvhLRGaiNnDBN1LAAAEIspR0JLntxleFKG5PUwEDNLoXgIAwDuxjoKWPL/NEClCV1VVzZ8/PyIi4tSpU+K8o0NUrlunEywDje4lAAC8o7qUCJN31uulz28zRIrQe/fu/fLLL8V5r7qJmuu2wcZoAIBGEqVLiUzy2wwxIvT58+dXrlxptVpFeK96iZfrRvcSAAAeidKlJD3dbllSqvw2Q/AIXVlZmZKSEhgY2L9/f6Hfy0ki5bqpPQBIdAMAuMxgsEtxC3MUNJXfVqsly28zBI/Q27ZtO3To0Lx580JCQoR+L+eJlOtm/2zRvQQAwGXCb7KSVX6bIWyEzs3N3bRp07hx49QSpgkcof7pDQYSGyvA29hf5fm8/bYA7wEA4AWE71Ki1drlt5OS7LbNSkLACG00GlevXt2mTZvZs2f7+PgI90auoVYXhOosYt+9xO/oUQHeAwDAk/kdPepz6FDNbQHmtjqdXbGQWi3oaZbOEipwWq3Wzz777Jdffvnoo4/atGnj/BMzM0PWrCEzZ+b4+d0NZhEREZGRkUIMctcuEhjYynYzNpacOmUKCbHw+R5jxiiXLPEpLGRu+W/fXjZkCJ+vLycVFRUKhcLPz0/qgQjCZDLdvn3b19dX6oEIpaKioqysTOpRCKW8vPz27dsWC69/3bJhNpsrKir8/f2lHohQAlatsv23JSTEFBlJeP1dLSz0iY9X2m6GhFjef98k0F9Dbm7uiRMn2Pfk5ORERUU5fLBQc+jc3Nz169dPmjQpOjq6QU/ct288VVEvqAMHzOybCQn8X7JYXn/d9t/KjAx0L3FfMtmPAC5QKBRSDwFcZTD45eTYbrE/Ufny4ot284rXX7dInt9mCDKHLi0tXbZsWVhY2KxZs1z7wzCboyIiokRYvB42jKjVNfntnBy/tWv9eC5BmDmTvPii7VartWulLz8QRmVlZatWrTx1Du3j48N8g1IPRCilpaUe/N1VVVX5+/srlcr6H+qGzGaz1Wr12B/f2rU1/61S+c2cye9HjE5H2Bl0jYbMnOlHiFCfY2q12vnCLEHm0IWFhfn5+SdOnHjooYfC/vbll18ajca4uDgnO4sJe0YkS1aWXTmAIIdqUN1LMI0GAHAG1eaT73mbDOu32QSZQwcGBo4fP95stksg5+TkFBUVxcbGduzYMTAwsN4XYf7hxPnHSkuzq+XWavn+NUhLs/slS0+XeJMdAIBbELLNJ7djlazCMxEoQoeEhCxdupS6c968eTdv3nzppZfCw8PreK6fX47ZfHfNXKcj06aJ0c9FrSbffUeeeOLuTb2eaLV8x1CNpiZIJycjQgMA1IPb5pPX9WHqeIwlS6RsH+aQ7M62mjnTbj+SaJ24hgwR+ABpNAEFAGgQIdt8co/HWLaMx5fnh+wiNNU3W6htyo4I22iM2mIv2jI7AIA7ErLNp4TLzzodcb5+WrwInZKScuLEibpT3Ayqk4sg3b4cEbrRGL1JANNoAIDaCNnmk2ofJtrxGAbD3cSwQuFUnJbdHJoh3hmR9oRtNKZWm9nb0tmXhwAAwMZa4zRHRVka2FqjDtz2YaLVBVFXBvXGF5lGaCqfIdTxU45QFwexsXzujTKOH19zQ8wMPgCAG7H/eCydPZuvF5Ywv83dOFbvxF2mEZpwIqVoJWMqFcnKsruHxxm8+emn7TL4mEYDAHDZn5NhefRRXl6Vu71KtOMxXLsykG+E5paMibZuS13aMJuveMPOp4iZHAAAcAuCrUBT26s0GvGOx6ByphqNU1cG8o3QhJCkJLr8WbRmXFlZgm2+on4ymEYDALBRk02eoih3e5WY+W3qe3LyqkPWEZpwLp7E3KMk4FujCSgAgEPUBJqn8Cxtd08qC+v8W8s9QlOHdFIrxEK/NfuCi8/NV1TwF22NHQBA5uxXoPlKcUu1vYpwlmgb9NZyj9Dk78sNq5WIf/QflWbncy0c02gAAIow52RIuL2qkXN3N4jQhEgQm224O7P5WZCWqlQdAEC2BJhAS5vfTk+3m3819BtyjwgtIQE3X1HTaAAAb8adQDd6I5TD06vE2V5FHB380dBVdUTo+nEXpPkJ0liNBgCwYecnVSpezsn44Qe67EzM06tcq99mQ4R2CrUgzc82ZmoXAfsqAADAq9g6VjP4OCdDpyP/+lfNTZHz21SYcO0bQoR2liDdQKmLROS6AcA76fV2H6mNnkBzl5/F3ArE1+I3IrSzBFmQpi6rcCQlAHghvg+alLC7J4N6L5fn7ojQDSBIN1BqaQLTaADwNlRLzEaXcEvY3dPGtkO4MYvfiNANw383UCrsowkoAHgbXifQEnb35LJaG/XuiNANRl3e8bAgzV5xwZGUAOBVeJ1AS7v7mXd3I3RlZeX58+erqqqkHY1bUKsdtDFpFCoJgm1XAOA9qC4ljZhAM+FZqu6eQrgboY1GY0JCQt++fefPn3/8+PHq6mpphyVz1E+dhwVpTKMBwAtRH3eNm/Byl59F6+4pkLsR2s/Pr3fv3lVVVRkZGePHj+/Tp8+yZcsKCgqsEvbbbCCRZ55ZWXbVeo1dkKaOpMQ0GgC8AX8TaFktP/PlboRu0aLFunXrTp06lZ6e/vjjj9+5c0en0w0ePHjgwIGrVq0qLCyUeahWKEhystjHT/C8Q5p9sYdpNAB4PP5WoD1s+dnGrlLM19d30KBBW7ZsYUL1yJEjy8rK1q9f/9hjjw0ZMmTz5s0lJSVSDbQ2CgVRKO7+t8jbidVqXndIYxoNAF6FmkC7uiOKu/xMdYF0X45ruZlQzcyqMzIynnnmmcrKyuXLl0dFRQ0dOvSLL74wmUwiD7Q27J+p+DNPnndIYxoNAF6Cvwm0HHY/C6Se3VbXr18/duzY8ePHmdmz1Wq9ePHia6+9NnDgwM2bN8uh9ps6qISfZpwNwecOaWoajb3RAOCpeJpA63QeuPxs4yBCW63WwsLCVatWRUdHDxo0aMWKFefOnXvwwQdTUlJOnDhx4sSJd999t0WLFitWrFi/fr34I+biee9Tw3F3SLsepNmvxc8BHQAAMmMw8DKB9tTlZ5uaCG21WgsKClauXDlw4MDHHnts/fr1V65cCQ0NXbRo0S+//PLVV1+NGzcuICAgICBgwoQJq1evbt68+cGDByUcug031Sx+rptakHY9141pNAB4PCquujSB5jbfdvfdz1w+zP+VlJRMmzbt7NmzzM2OHTtOnjw5Li4uODjY4dNCQ0MDAwNv374t0jDrk5VVUy9GCImPJwUFog6AuUqwXRno9WTKFPLJJy69VlJSze+dTkemTfO0XzoA8GY8TaAPHpR497PBIPhpHHfn0Far9datW/fdd9/06dN//PHHn3766d///ndt4ZkQUlVV9cwzz7z99tvCjq4h2MkN7rWVCKgF6U8/dXUqT11OYhoNAJ6EjxVonY688ILdy4if39Zq7TYTCeFuhA4ICPjkk09ycnIWL14cEhKiqO89g4ODZ86cGRUVJeDQGojKb0iyhsvdIe3iGNiVDzqd2MVvAAACMRjsTvBzKUEo7dnPDL2+5vsQLkjfjdD+/v4hISFNmjQR6n1EIXnJmEpFZ9ddHAOVrMHeaADwDNQEuuEzX4OBxMba3SPy2c/E0SWCQNMojzrbivpxGwwShDaVym4CzP1lcham0QDgYagJdMPz2w7PxhB/93N6Oj0GgS4RPCpCE06um4fzmxuOamfjYhsTTKMBwMNQE+iGV3ZRzUkkWX42GOwmUGq1gBVqnhahiQxy3dwxuHihgGk0AHiMRq9Ac8/GEH/5mZvfFrSA3AMjNDfPLEmum/rVcaVqDNNoAPAYjVuBplYMmRcQefmZOOowKuhmWA+M0ISTZ2YHbNGo1fT7vv22T4NfBdNoAPAAjZtAFxb6yKE5CZXfFnoCTTw1QhP7PLNUJ2dyF6QnTmzT4JdgwzQaANxR4ybQGRkBhw7VzHDEb05CJOow6rERmsl1W62ShWcG1cYkJ8evwUEW02gAcGtf6u5MAAAgAElEQVSNm0BrtWTVKqXtplTNt0XObzM8NkKTRp1mxqfGVo1hGg0Abq0RE2g5VIcRKfLbDE+O0DLBQ9UYptEA4KYaMYGWSXWYhCdoIUKLgVs11rA9YJhGA4CbcnUCLZ+jqyTJbzMQoUVCVY01uNcYptEA4HYaMYHWaiU+uoohVX6bgQgtnu++s0RFmW03G9ZrDNNoAHA7rk6gtVq7yB4SYtm82cLnwJzGTqqLX6SGCC2q1atL2TcbVjVGTaPFb2cKAOA8V7tw63T0tPXzz0v4G1aD2fYEiZ9mR4QWVUiIxfWqMWoajXOjAUDOXGqP6bAsKyREmgk0m9UqQZodEVpsajW9RbsBVWOYRgOAWzAY7D6gnJt7cgt0CgqkqQ6TCURoabhYNYZpNAC4hYbvT3J4sqSXEzBCW63W//3vf0899VT37t27du06dOjQ/fv3V1dXC/eOboTqNabXOz2TxjQaAGSOmkA7F2nlcLKk3AgYodPS0qZMmXLq1KnY2NixY8dWVFTMmjVryZIlVVVVwr2pG6G23ut0dkUVtUpKsnsairoBQG4avgLNrQ6TpHeY3AgVoS9fvpyWlta5c+cDBw5s2rQpJSXlu+++i46O3rdv38mTJwV6U9dIcoA0cXSFGB/v3JSY/euu12MaDQAyQn0oORGeHVaHid87TIaEitC//fZbVVXViBEjQkNDmXsCAgLGjRtnMpmOHTsm0Js2lEJBFAopU8VqtUsNQTUaTKMBQKaoPdD1pbi5hThS9Q6TIaEidHR0dE5OTmJiIvvOixcvEkLat28v0Js2iEJR899STaOJyw1BMY0GABlq4ASaCc/s6rDkZLkceiQHItVyG43GDRs2pKen9+7d+9FHHxXnTevGzjA3uAcnr5KSyIgRDRwMptEAIEMNmUBzi7cTExGe7QgeoU0m0+TJkyMiIt57771//OMfqampbdq0EfpNnUElUqSdiO7fTw+m/iCNaTQAyEoDJ9Dc4u2UFCGG5cZ8hH6DO3fudO7cuXPnzseOHWM2X61du7ZXr161PT4nJ4e6JyIiIjIyUoix7dpFAgNb2W7GxpJTp0zCNa+xWCzl5eUBAQEOv/r++6RPn5rB6PXkjTcs8+aZan25MWOUS5b4FBbevanVlgnzr+S8iooKhULh5+cn7TAEYjKZbt++7evrK/VAhFJRUVFWVib1KIRSXl5++/Zti0X61lRCMJvNFRUV/v7+Eo7Bp7DQb8kSW0SxhISYxowhtf9GpaQo3367JgCFhFh27TLV9vDy8nJ/f38fH8EDlghyc3NPnDjBvicnJycqKsrhgwWfQwcFBa1YsWLFihWZmZkLFy40GAzvvPOOyVR74BHXgQNm9s2EBAF/A6xWq4K9+m1PpaIH8/bbPnVPjC2vv15zQ6/32batkSOEulmpbnDgPur40wN+6PU+hw7Zbtl9OnFs2+bDDs8qFdmwwVxH8bZCofDSvz6riMrKysaMGdO3b99ff/3V4QPWrFmzZs0aMYdktVrVaishNf9LThbqjaqqqn7//fe6H5OVZTcYQqxZWXU+gT16lYq/wbriypUrlZWV0o5BOEaj8fr161KPQkD5+flSD0FA169fNxqNUo9CKJWVlVeuXJFyBAUFzn8WFRTYfcSpVNa0tHpe/vfff6+qquJxvGxpaVZxIyGtjsAnatfPFi1ahIaGWiwWWXUWy8qyK7pq2HlTfHNY2l3XYdDslR7qJBkAAHFQK9C1NwNzuLdKwu6etq3YzOZbuREqQq9bt65Pnz67d+9m33njxo3Tp08rlcqWLVsK9L6uoX6dpK2MTkpqSNdutdru0RLuGwMA72Qw2H1oUh9K9g+k9lZpNFIWb1OdUgiRXcWtUBE6MjKysrJy/fr1RUVFzD1VVVUbN248f/78Y4891rFjR4He1zVqNfnuu5qber3EQToriwweXHOzniBN/YJj5xUAiEmvt4u6tYRc7t6qwYMl7rxNFZMvWSK7TilCReioqKjnnnsuPz9/2LBhL7zwwrx58wYNGpSWlhYRETFr1iwZluQNGWL3s5E2100Iycx0ev8VdcVKZckBAIRDzUNrn0Bz91ZlZgo6snro9XQn8GXLJBtMbYSK0L6+vgsWLNiwYUNYWNgPP/zw5Zdf+vj4LFq06OOPP5bbBNqG2yVbWtR46prZUxetkg8dALwE1aKklgm0ViuvgzEcdgKXIQErxZo0aTJ06NCvvvrqwoUL+fn5hw4dSkhIUCqVwr1jI1E/JGkbjRFHv8S1zuzVartaC52uzuoyAAA+UNWptUyguedWSX4whlZLL4fLLb/NELWWW/64jcak1YCjNbAaDQAioybQ06ZxH6LXOziLUtpwSB31q1bLt9UoIjSNPY2WwxZ5tZpOvzgO0lQLXAlP7AIAb+DEBFpue6uI++S3GYjQNCa3bLXKIjwzNBoHm6QdxF/qFy09XcAxAYCX406N7XHDs+TnVnG3VyUlyfogakRoB2S4IJGURMaOrbnJ/T27ix3JMY0GAIFQLUqo0/YcbX1+803pk8lUPbnkE/p6IUK7jS+/dKKTCXVBiNVoABBCnSXc3K3PKhV54w2RhlYb7vYqOee3GYjQ7iQry4lN0jiVEgAEReXnHIVnautzQYE4I6uVey0/2yBCu5m0tPqCNJVuwt5oAOCRwWBX40LVqDrqTCLt1meGu2yvoiBCuxnupR+VuiEEx2kAgGDqPCSDu/WZOppIKu6yvYqCCO1+uNekWq19FKauDzGNBgBe1HlIhlbrIJMsh/BMWFtn3SW/zUCEdkvcTibx8fZBGg1MAIB36em1HZLhsHGYrDLJzB5a+Vw0OAMR2l2p1XTxhV11Bvc4DfQBBYDGMBjsgjDrQ0anc7DPWFbh2Uaeo6oNIrQb46Zr7NqNyerUawBwd7XssKL6ehJCkpPlvs/YXSBCuzduu7GaII0+oADAl1p6fMqwcZgnQYR2nbQnX9kkJdGXqzVBGtNoAOCFox6fBgMJDbV7FMIzvxChXaRQ1Hlgs7i4FRk1a9LsII0GJgDgAuqjIymJqFQOT8VAeOYXIrQrFIq7/1Hrgc2io9qN1TTQQQMTAGgMaoeVSkU0Gm7bbY3GnXYxuQtE6AajQjL1ayqhrCwyZEjNzZoEFBqYAIDLOBNobnh2r03GbgQRusG4BzbLZ1763Xf0TDo0FA1MAMBVnH7WBrWGG54lb7vtqRChXUGFPPksSBPOmvTdIE2tDiFIA4Az7D/aDElp3EOr5NB221MhQruIajYrnwVpbisfg4HEau0bmOh0cknNA4Bs2S+KGdSa+HQ191QMN2rR5XYQoV3H7RYik6jHDdJ6PYk1yDU1DwDyxPqUMBBVvCFJtuGZu+/LMyBCu85hc2yZcHAElkGlJcms29h5BQC1s/+I0BO13qCy3ZRbeGZy77ZdNh4DEbpRqO7XslqQ5pZvJJMkA1HV3JbPWAFAblifDwaiiic1l/yyCs/E/kRqDwvSiNCNRW1Els+CNCFEpao5c42hJaySMb0eO68AwAH7JsHszw3m0l8+4Zl7ppYnQYTmAVUobXd8hQywZ9I6otETdc1t+eTlAUAm7FuUGIhKRzTMf8utcpuzF8zTtmUjQvOAuyAtq/wxle62m0YTBGkAsKfVsqtebfltuSW3qfBMOPtgPQAiND+4C9JTpkg2GC72la+eqO2m0TjzCgBs7HdY2bJuzPRUPuGZEHLwoN1Hl0d2BUeE5g21IP3pp/IKfOyJPrvogxCZTfkBQEL2O6yYlBt3A6fkdDrywgs1Nz0vv81AhOYT+1fEapXXLzRhBWkDwc4rAOCwz6jpidpAVDIMz9zlZ1mtjvMIEZpPthVfqoJaPtTquyOkd15hNRrAy3EKxOJJGhP85BaeqVMvk5LklX7nESI0z7gbnOTGdr1pVzJGHTAHAN5Gr6cKxGS49mxrTmKj0RCNRqrhCA4R2hsxM2l651VyslzalgKAyOwTx3qiNqjUcps9E/vmJMRzl59tEKG9FJOQp3Ze6WMxjQbwOgYDMcTaFYilq5JktbGKodfTzUk8dfnZBhHae6lUJK1AbetFQAhRG3TxoXrJBgQAojMYiDZWrzLoa+5RqZOy1HILz9Tyswwz8EJAhPZqKhVRF9gliZIM8aGhqOwG8AoGA4mPNUwzsJJnKpUqK02GkY8akuc1J3EIEdrbqVR2u8RUxKAxaOPjEaQBPBwzK1UZ9Gqir7k3KUmG4Zlhtd6tw/XI5iQOIUIDfTmaRJKJwYAgDeDB7iaNDYY0Yr+zWPaF0Varh1eHsSFCAyGEPv0jjcQzf8AI0gCex2AgoaHEYCB0ePae0OcmEKGBEEKIWs2+dlaTu4kvBGkAD6PTkdBQQlh/5ndRpwuADCBCw9/sKyNtF9exsThFGsBDaLV3tz2rCCe/jQm0/CBCAwsr160ihmRyt8IzPh4NxwDcnlZbs59YQ9JVxFDzNS+pvHI3iNCSUSjkF/Y4JWO2v+HkZLTuBnBj7PCsIoYk9tk59otcIB+I0BJQKIhCQQghycnyW+XllIzZ/lunoxvWA4D8MU332d246Pw2JtByhQgtNioky64US61m/ylTtSR6PYI0gDsxGEh6ul141hAdCsTcBSK02NRq+vAr2WWP7c9yyyJ2MVmvv1sICgAyx+yZtOtlTQxJhLW6hgIxeUOElgb7mpV73Kn07P9os1R2FxHMZkp5Tf0BwB7zwcI+r06lImkqLQrE3IiwEfr8+fPTp0/v0aNHWFhYnz59Fi5cWFRUJOg7ugvqWDe9XmYzafvEl9qgy0rWs7+OfiYAcmbrSWKjUpGsNIPaoKu5CwVisidghD5w4MDo0aOzs7P79u07ceLEoKCgzz//XKPRIEgzqINZdDqZbTu2n0ar9dqCAnq5CkEaQIa0WnopignPKq18N0DrdHfrZ4FNqAhdUlKybt26gICA7du3f/rppytWrDh48OD8+fPz8/Pfffddi8Ui0Pu6Ee4fiLxaYVPj0+tV6dq0NARpAFnT6ewWnsnf5yirDHq7v1WNRj5nNxoMd5OICNIUoSJ0Xl7euXPnRo4c2bdvX+aeJk2aPP300w888EBubu4ff/wh0Pu6F7WaPoFcXgGPOuAtOVlFDFR+nhASGyu/dXQA78PsqqLWyzQaUlBAVMRg9wU57bCiCnHk2ChCOkJF6CtXrrRo0SIyMlLBuihq2rRpixYtBHpHN2W/uYkQuZV2U3/G8fGEkKwseszYhQUgLWYaSv1hJif/nQiLl2l+m1vOlpwsn4sH6QkVoadMmXL8+PExY8aw7zx37tzp06eDg4Pvvfdegd7XHSUlkREjam7Kq7SbqiXR302UJSXRf+N6Penfv82hQz5ijg4ACCGFhT4TJ7Zhp99UKlao0+nsUnOy2QDNXFWww3NiIsKzHfF2WxmNxrVr1966dWvChAlKpVK093UL+/fTpd0yCtJUSdvfI9No6BR9YaHPE0/4yChLD+AF9HrSvbtPYWHNxTFzyvPdUMfkvtlfk80EOj2dUFcVKSmSDUaeRJrxmEympKSkQ4cOTZo0adSoUXU8Micnh7onIiIiMjJSyNGJxGKxlJeXBwQEOPzq+++TPn1a2W7q9eSNNyzz5pnEGl2d3n+/1dixtluWZ581rVtHCImMJMePk1GjlOxPh9hYcuCAOSrKLME4hWQymW7fvu3r6yv1QIRSUVFRVlYm9SiEUl5efvv2bc+rUd2+3e/FF/3Y94SEWHbtMqlUhPlhKpcs8WHNUk3r1lnk8VNOSVG+/XbN5wYz7NqGVl5e7u/v7+PjCSm63NzcEydOsO/JycmJiopy+GAx5tClpaUvvfTS7t27x4wZs3jxYg/+jKub1WpV1F6qqFKRAwfsoppcwjMhRK0mrAjts22b7dKXGTaVMxs+3G/6dE/4W6JYqW5w4D7q+NNzUwYDeestHyo8M3+PtpyXz6FDPtu22b5qmTXLEh0t4hhrtW2bDzs8q1RkwwYzO1VHUSgUXvrXZxXY+fPnn3zyybCwsLfffvvOnTt1P3jNmjVr1qwRekhSqaqq+v333+t+TFaWlRCr8D8WlzAjY/6nUlFfVKvtvk6IVa2WZJRCMRqN169fl3oUAsrPz5d6CAK6fv260WiUehS8KSiwqlT0X1xycp0PUqmsBQWSjJZSUEB/lqSl1fOU33//vaqqSozBSaGOwCfsHPrQoUOTJ082GAxvvPHGggULvHb27DymtFumF4vs5SuDgSo6z8oiiYl2k36mgzeWpQH4xa1/JoQsWGCma6y0WrsH2ffblwq3ElajQWezWgkYoXNzc+fMmXPnzp0PP/wwPj6+SZMmwr2XJ5FvKSO1PZoqECUkMdFIJeqZv0Z59UoDcGdMvzCqneeCBebZs0vtHqfX2/3hyaPBJ/faoqaiDRwRKkIXFRXNnz+fEJKamvr4448L9C4gNm4XNHtqNSkooK/U4+PJrl3CjgvA4xkMZN8+x/3CqDvpFJc86re5e6sGD5bDuGRNqHKenTt3Xrp0qWnTpq+++ipVo9GxY8d169a1adNGoLcGATF/6rY/fmYjh/01MPORQXUwHTfOQQM1AHCSw8y2SkUKCgghxEztnEhPpyeqMshvc/dWZWZKNhh3Icgc2mQy/e9//yOE3Llzp6ioqNDe1atXrTJdaAUncFqBcpeaHV7XY1kawDUOw3Ny8t3w7ODR7L89tVomeWS7Y6pVuF53iiBzaKVS+emnnwrxyiALaWl2R+fExzv8qEhKIjExdlUhtvPk5fGJAeAGtFoHme1al2+5+W3Z/LFZrXcPxmAycTKY1bsB8XqKgedgOgraUE2LWBwuSycny6ljGoBcMX9YDheeaw27VCqZynhJzWq9e80gp0HJGiI0uIT6I3OU62YwHyjUHyQy3gB1syWc2Bxe8to9h0oly2YCbVNQIIeicreBCA2uqq+u28bhsjTzAYRj5gC4HG6pSk6uc+2W2mgsj/ptaCREaHAVJ9cdMGtWHQ9PSnLw+YKMNwBbbZntpKR65sP+O3bQ9dtIJbs/RGg3Jn1ss891KzMyfA4dquPhTI6OGjYy3gAMh5ltJgVVd2bYLyen1dq1ds+RX34bXIAI7a4UCnkcUmmfSfNJSKj74SoV+eEHZLwB7DBTZyqzTf7eUlVP2TO3fhs7mTwFIrRbsvWAkT5IU8tdnH7dDtWR8aY+oQA8HvNHw506p6U5NxOm+m/Loz8J8AIR2v1QMUyv5/T8E1l9/bodYjLe3Brv2FhkvMGLMFNn6nfemcz2Xdz+28hvexBEaPfDTWJptVKfTuF0XTdbHTXe0mfvAQRWW1GYU5lt20vIr/828AgR2i1xe1zHx0sapLm5bqdjbFKSg88jlI+BZ6utKMzZzDZDludLAo8Qod0VkyVmow6rEJtGU8WOynq986NhDgBA+Rh4g7qLwhqwQ0qnY1+VW594QsJWIDhhViCI0G6Mm9OSdhG37N137W43sO6rtvIxTKbBY9Q2dW5ws3r7/LYlJOTGO+/wMkIX6PUkPr6mfBV4hAjt3jQa+q9dwiBtCQ42Hzhgd5dzC9I2DsvHMJkGD1Db1LmePtu1vZb9X5bl9dctwcGNH6QL2CtaCNK8Q4R2e0lJdHJLypm0Wm0XYPX6hoZWxyfSYzIN7qyOqbOzRWFs3OMxJMpvGwx2p9wRgitpniFCe4K0NHreKeWaNHVQRu2HatSBKR/DZBrcHZ9TZ9srUsdjSFS/za0HrfVMTHAVIrSHoMKic41DBEP9mbo0FEymwd0x+/t5mzoTGR2PwQyEapSCrV68Q4T2HFlZZMiQmpvcBJR41Gr6AGlXrxfqmExLeQkCUCdm6sytlXR96szgtg+T4ngMbnjGTmyBIEJ7lO++o2fSkqEOkHau0ZhDzIca9+9fpyOhoUh6g+zodHxPnW2vy97VJNHxGA7DM7XzE/iCCO1p2GvSVquUI+F3K5hG43gyzSS90c0b5MCW3eF56kzkcjwGMwoqPOOcDuEgQnsaJt2kVksdnomjS+vGTXhrW5lm8vmYTIOEbBVh3A7bjZ06E0frRFlZ4rcPY0bB/gaZP0n0MRMOIrQHktFVrUrVyM1XXA5XpsnfFWTobQTic5jWJoRoNI2eOjO426sQnr0DIjQIjI/NVxTmo4H76cB8iDzxBJLeIBKDgQwe7DitnZxM0tL4CGA6neTbqxCepYIIDcLjLkjzEUKZBmTciUtmJpLeIDhbWvuHH+zut6W1+aniYt6G/epS1EwjPEsFERqEx/1Y4W+nVN1Jb8Rp4J0tNnOvDnmoCKPeiZqeS7S9ir1qxpSXIDyLAxEaREF9svCxIG1jS3pTUOkNvHPYhITwVRFG4S4/S9eyi6k8lVGNi3dAhAaxUHkxPhak2Zjy9doqvdGGDBqJ2UnlsAkJn2ltG71e8uVnitWK5LbYEKFBRMIsSLMxSW+HcdrhxytAvZhks8OLPN6qtR2+pY0MwjMD4VlkiNAgIrWazpEJ0LqTabXkcHFar8fiNDSAbcmZu4vP1uqO/6DFXX6mOvSB10CEBnE1+nhKJ9XxAZqcTBQKxGmoS93lYGlpji8B+SGbwyVBcojQ3k6hoI+QE5wAO6Rrw/QK5X7IEsRpqEXdsZlZchYwYspg9zPIByK0V1MoCPm7PFVU1MJd41p2O/NuiNPgjHpjs7DF1HJdfgapIEIDIeIHaVEWpNlsi9Off+7gq7Y4jToy78TMmxUKx7F5/fr/3979h0VRJ34A/6wsCrmrmGAl68Mu6IlmxXWiPMV9WQpLL+uQ7PFHKdBJj3WRmV56We3S6Rld5VOkZfqIZKdmovd4GfnABRRdJJVAglkJq8cqiYCwoCAL+/3jg+M6M7ssy87OzO779fT0wDjLfGBg3/P5LcxwMG4hWH+EIs1+BulAQvsvVhrRUVTew+qQNpnIo48KfU2tljzyiLP6NB1Hhpz2H87btOlQ7aee8soYZu7ez+LNfgaJQEL7L+7WU3TqsPewOqR37/ZOczNTn3aS05iX5Q/oHCon2SzIUG1eWVnsvZ/Rvg1IaD/nKKS9t7gH621IyFFjLExOFxby/CttUcDULN9jMvVvRaVQ8M+h2rfPu9lM+BYn8dbCXXgMlTgktL/jrrLL3cdG2MuzNrIWeNQY9/pJSQ7r08y6ochpH0AbtBMT+X+96Viw4mLyyCPeXZeD1f3sxWWv6ZXpcFGQJiQ09D+yszqFvRfShLDjUeBRY1zO271pTqvVqjfeUKPOIUcmE3njDfVtt6mMRp5ao/04bW+vmcUavE2I16Y+03imPw2EtGQhoYGQq91erJD2Xm2WtWQSd1CrVzA5bbPxv1NnZweh6VtGmAZtnY5kZwdxT6AtOILPoXIiK0uUvTFoZ5b9w4pXB6CAy5DQ0I9bkybebHJmXVuwtcYGRLO5vt5hT6R90zeq1NLEjNB21BTErAsmJpFGh+3cyc5j7ngUkAgkNFyHN6S5A2oEId6oMV50PbIBu6hRpZYOpqeZd4Q2sRukLey6YK7grh3mldFhWVnsZnXEs5QhoYGtuJgsWHDdkfR0r4QQ903Ku6PGeDFN3+vWWTUaK/cEGtUKBaJaTExrtqPnOo3Gum6dlQ7SFn8VEN61w4TvA8/KYj+40MdQkCwkNPDYu5ddw/BSR51eL/qoMV5aLVm7tuv771ud1L3sW7+91Org32g3c3o6USictWanpZHcXPL9961r13ZJYvNEkdYO48az0YhJ11KnFLsAIFH0mZ7+SbPmQwnLYCAnT5I9e/o/pW9n3poeOiBa2zEY+jvKuf3QNKcJIVlZJC2NRESI3Zrqc0wmUlJCSksHeAxi6qU0lZuavFG2gXF3lhR+dJjJRPLyeOIZS5ZJH+rQ4JDBQHJzvRvP1O7d7FFjYgztdoLWzJz0UpOrUU1XrUpMRAP4UDE1Zjr+y1E82/c06/Venz01INbOksKPDkM8yxoSGpwRrf7H6i0Ub2i3c7SX2mYjRqPDdkpa52P6qnfuxAjwQbCfMeU8mPX6/uHZkuhp5sVqaBZ+dBhtgWJdE/EsI2jlBkmidQv7SSFGI0lIkOpbLzEYiMHQX18pKXE4vo0ZIUSresRrHfyy4mI7NqXXk9RUOXQl8A7eFrKOb78mCXNNg0EOPyu4yksJffz48fT09I0bNyYlJXnniiB79C3Mvn2bdkhLNaTJ1XdAF6Oavl0bjUhrQuxSmX4wIPpDS02VXjs2LzEGb3MnPQv8SACe542Ebm1tzc7Obm5u9sK1wKfQbaRlFdIUK6ppU60jrLTW60lCQv8HPozW7QabyvSHI7NaoEiDt222a8t5Ip5lSvCEbmhoyMzMrKqqEvpC4Jv0epKWdl2+pafLaAonjWpCSG5ufxo5GllG0Sxnvl2mei2byqJjbkQypdWSxYvJrFnyfGThtjV7sR+YhjTiWb4ETOje3t7Dhw+/8sor3d3dU6dOra2tFe5a4Mtyc4nFQvLz+z+V2Pwr1+n1RK93tWJN2VevydVKpFYr5R75fkweEzLoSCbEV9oSxJhbxSLCXAzwHAETura29qWXXgoKCtq6dWt1dTUSGty3f/9164vR+VcyDGnKvmI9YI+1PW6o0/m+9L+EhGtHvIamj8nU/wENY+bTQZHR84dLuDvEeWvlbfAZAiZ0QEDA0qVLMzIyRo0aVV1dLdyFQDrKypRCjQXMzb3u/U7mIc1geqzJ1amrhLMbpxOOspCGNBPeVEQE0euvnc8K8oYGJWsXQvuvTD8+ffpaJBPigSVZfaSuzIs79Vn+v67gZQIm9NSpU6dOnSrc1wepGT/+FsK394ZncOdf0UnSPjQAmqlb05Zwk6m/SurGGqL2OeqyCYO+zOD5ciTb4536jK5gGCTJzYcuLy9nHbnjjjtiYmJEKYxnWa3WtrY2tVotdkEEMWZMCP0gMZEUFHTFxXV5/hohIeTgwZB5864dMRqt4eEd8+d7/locHR0d3d3dgYGBXrgWISQkhPmGc3sAABypSURBVMTEEPqLv2lTf9bSqP7mm6Dycp7djiVIo7FqNNbwcGt8vJUbyRcveq8kbW1t3d3dVivP3icep3r9deWGDcynVo2mKyfHGhIi3Dfc1dXV3t4eHBws0NcXXVtbW3BwsFIpucByQ2VlJWvodHl5eVxcHO/JvvANy4XNZlOwmhF9xbx5IfafzpkT9PDD1u3bBXg31Ou7CgqC5sxhDigzMkhoqHeqYzbxRt3Q2tfVWlkXIV0NDUpCSHl5kNmsJISUlLjZ++vB4tEW9bvvthJCNBqrIE9p7vLan57yww/t45lotV05Odb4eO9c3VcpFAoR//pEJLmEjouLW7FihdilEITVau3q6goJCRn4VLmhk5btO93y81XNzcL0u82ezZokHTJvnhcmSSuVysuXL0vn9tGCTJvW/ynT2M8ausXqOR5s6zfTLstkMP1/QgIxmfo/5fzglVf/L6GKfk9PT3BwsEqlEvYyO3eSzMzrjqSlqebOFfaihHR1ddlsNun8cnqcxWIZM2aMb9Sh9Xq93uU3K1/4hkEKiovJ6tUdb7xx7R2wpITodMIskkyXYLZfpEkmK5l4gX2UDkp9fb2OtQwVDApr4TAi1NRn5tkIfB52zgCPWbXKUlBwXcMmnbosyGbJaWnslaVYtXgAbzKZ2MtsChPPWVns64APQ0KDJ+n1pL6e/YCfnk4OHhTgYrm5CGmQBG48C7AyiclEPvmkfyyCjw5oATYkNHgYnVfCam9OSRFmi2duGzprjQgAofEuu+3plUnoRR588NoRhLQ/QEKD59GQZi27QbulPZ+erMcB7kJOAMLhLrstWDyzxve5vqwNyJeXEnr58uV1dXXYetKvGAzssdz0jSYry9NXQkiDKHh3YPZ0PNOOZ9ZFvLj7BogJdWgQEG+3tNEoQIs3Qhq8jDeePbrrmsnEXpqMXG2gQjz7CSQ0CIu3W1qQedIIafAar8RzYiI7nnkfecGHIaFBcKxuaQGXBmINHENIgxB449mjT52OWrax9Ya/QUKDl9BuaWFX7qO9gAhpEI6jePZQxdZRyzazARr4FSQ0eI83lvxCSINwhI9nbss2vQJr5j/4CSQ0+ByENAhB4HgmhN2yTQgxGtHx7NeQ0OCLENLgWcLHM7l+iAb9FUbLtp9DQoOP4g1pLAsKbqCLegoczxQNabRsA4WEBt/FO9MLIQ2DsnMne81tOrFKsKZntGwDAwkNvg4hDW7buZO9oSSdkiwktGwDAwkNkuaZJUJ5Q1qQTTHBh2RlseM5LQ1TksGbkNAgXQoFMRo9tN8Gt1svPZ39/gvA4M5KNho9vuY2gHNIaJAoZnM9j+23wd1PeudOYTbFBDnjXTQEW1WAGJDQIA+eqUzn5vJsiomQBgadlYd4BmlAQoNE1dez+449U5nmbopJd64G4M7HG/JGj6wVSAAGBQkNEsXab4Phgcq0Xs+zc7VnurtBtnjXJBnacti0gYbprwEYLCQ0SJrB4LAyPaRhXtw5M1jPxJ/xbiY1hEVDaF82k/gIaXAPEhqkjr5VckfR0pUk3G/0putOcGdheWaCF8gH72ZSQ1gyjA5A5Db/AAwWEhrkIS2NvzJNG73d7O3jrgxKCDEaMXbMXzja69HdNb2Y1h3WL6RWiw5pcAcSGmTDUc807UR2s+rL25hJx47hPdW38e71SJfcdOuL0ZZyVj8JHWqGVTzBPUhokBnenmkyxLUSc3PZzejolvZtdBAXq+PZ3WHbjpq16RJkmKgFbkNCg/zQeq99R6H9tn1u4i7o6LGlUkBKWIO4KHeHbZtM5N57+Zu16RJkqDrDUCChQa7ocGxPjsehXxHd0j7MUcfz4IdtM83an3/O/mK0WRtVZxg6JDTIm8HgiQo0g75ZJydfd5B2S6PFW+5oowhrxxT6WDbIqi7NZu7TIf31QTaDpyChATgOHmS/+5pMqgcfVOfni1MeGDJ1fr7qttt4Op7d2quKm8EYEQZCQEID8OEuDkpI0JNPosVbfkwmkpUV9OST1x2kE+08UdtFszYIBwkN4ABvtzRavOWFjtnm7XjmzgcYDNq3gtHaICgkNPidQYzO5p2C7YFFR0F4vGO2CfFgYzRd6g7N2iAcJDT4HaORKBSDyWm+Fu/+RUdRmZYm3tVIPNeyTQ2tEg4wMCQ0+BdmD4PB5bRe33XiRFdc3HUHMWFagphZUNdXnbsWLOgqKHB7JwwAUSChwa+5ntNWjcZy6BDPDh4e2A4TPMRR1dlotOTkWDUacUoF4C4kNPgRk4ns28dznMnpgZfidrSDByrT4nJQdXZxhjJ9NYDUIKHBj2i15JFHHK5ERivDA+e0o+0wUZkWi6MB27m5Aw4KY5KdPqUBSAoSGvwOXYPZeU5zhwCzOalMD/xi8BCTiaSn8/zAXVvIMz2df2kwAIlAQoOfYnK6sJDnX+m05wE2tXS0HSZ9MZpNBcVUflmreA60uJfJ1L8VlULBfikhRKcToKgA7kJCg1/TaklSksP6tMnkQgXL0XaYtDLODQEYOkfbPTrtdWYmSKen8/RFDGENUAChIKEBBmj3dun1vD3TtA0WndMexCwXw23WdtzrbDKRN95Q33abymjk6X+wX7YTy4+ApCChAfoxOW2zubXzNO2Z5oY8Oqc9wtHjDhOwnF5npkFbpyPZ2UHcL6nVEpsNS2qDdCGhAa5Ds7m+3q0FHZmQ5zZ6M53TyOnBctTlTAjR6500a+t0/A3axK7KDSBlSGgAfrRK7A7a6F1czJPwtHN661bktEtMJrJ1q8OtmGm/sePHKG77h1bbv9cFX5UbQHKUYhcAwEfRrbGysnjSZflyQggxGklqKno++dF6M+84Oxqzg2yY1misqalk2TIlft4gI6hDA3jYdcliMBCbbYCZ1xhHZo/pb+bG8+C3YrbZSFoayc0l33/funZtF+IZ5AV1aABPYtalysoiaWkkIoKkpRFiMJDUVJKXxz95uqTEvXqhTzGZSEkJyctz2G/s7s+HDrFvahpS6QBEgTo0gCDoXGpaG0xMJFl5Tmd00bP9cygZMxDM6TxlU6oBc8vB3yChAYRFK4d02WddonZnhMFUPFBO+8MUajoXysnCm1otMRpNxfU7IwyJ6Vqa4AB+Ba3cAB5DE5a2Wzs6IT2dEKLVag1pRgMxZhmIkf+8xMT+pt2EBJ65W7JGW7Md14hNRFuiTSvVG3YaCe+PB8BPCFuHNpvNmZmZ0dHRkZGR8fHxH3zwQU9Pj6BXBBARnQ5NJ/MYjc6ClWa5kRgUxEZyc/mn/tCT6IobWVmyr1UzrdmJiY7iuYTo00mujtSnm/jbtLH9FPgVARO6trY2JSXls88+u/POO1NSUqxWq9FoNBgMfhvSjY2NR44cEbsUAjpy5EhjY6PYpRDKoG4fK6oHmHpLRxs7WXSUFdXC7MnxwQcfeP6LMk3ZCkV/azZfL7uJaLOIMZEUJ5LinSTN0RejbQruqaqqqqysdPPFkof3Fl8lVEL39PS8++67bW1tb7/99u7du19//fXCwsL4+PgDBw6Ul5cLdFHpE+RNUDJ8+6+oqqqqqqpqsK+iUZ2bS2w2/n2w2KfabCQ312Htu7/qbSQKBZk40bMV67y8PM98Idrxzqy3mZ7uvEE7kRTrSL2RGEqInvccrZa88EL/4w537XMXHTly5Ndff3XzxZLn8wnt2++cTgjVD11XV1deXh4XF6e/+l6jVqtXrFiRnp5+6NCh+Ph4BZqrwM/o9USvJwYDMZlIXl5/9ZJn3e+0NJKW1n/Szp0Oh3afOnUt8GntUsT1T2gqnz7trBPenlZL0tJ0xlQT0Tr6d72eJCT0fwDgn4RK6BMnTjQ3N0+fPj04OJg5qNPpNBpNTU1Na2vrjTfeKNClASSO1pYJcVojpCcxee4kqold3Zq+kIk1gTKblqSkhJSW9mezi+g3dbV4JiP7H/V6otX64Ng4APcIldC0tTM6Otr+4PDhw0NCQk6fPt3R0YGEBnDJ9VFdYizRkxJn55tM11LTvpJN/0tIIKdPk4iIa8l99QON1XrdQwD9Osw5tNZPyKDb1el16bMCJ3hRVwZwQqiEPn36NPfgyJEjb7755pqamra2NoGuC+CztFpiMCQaDVpi0hKTnpQmkIHSmsHEreMu4S8IITqdB8pJrqY+zV7Hg7sGsbMngF8SKqF5B2wrFIphwwYYm+bb48gaGhreeustsUshFLPZnJ+f/80334hdEEHQ30zRb19ICGnsmmnq0pcQPSFupbUwTETbGNRonjixYeLEa9XhtjYi9k+Mor+WDQ0NYhdEEA0NDWazWfRfTuE0NDTk5+eLXQqh0DFbvP8kVEIHBgZyD9pstr6+PievmjlzpkDlkYgVK1aIXQQBPfzww2IXQUCO/oS8zGgkhHxDCOsxKKSKJFeRZDFKJA++/cup0Wg0Go3YpRCQb79zxsXFOco+oRI6IiKCe7Czs7OxsVGlUo0ePZr3VXFxcRJ5HwQAABCXUPOhaUL/8ssv9gevXLly8eLF0aNHq1Qqga4LAADgG4RK6IkTJ4aGhpaXl1++fJk5eOrUKZPJdOutt44ZM0ag6wIAAPgGoRJao9HExMSUl5cXFRXZbDZCiMViycnJ6evre+ihh7BcCQAAgHMKm2AzHiorKzMyMi5evBgbGzt+/PiysrLz588vXLgwKyuLdxwZAAAAMARMaEJIfX39hg0bysrKrly5Mn78+CeeeGLRokWIZwAAgAEJm9AAAADgHmH3hwYAAAD3IKEBAACkCAkNAAAgRZJL6Pb29uzs7NjY2MjIyOjo6AULFhw9elSmneVWq/XFF19cvHhxR0eH8zN//vnnGTNmRHK899573imqx3V0dKSmpq5evVrsggxab28v3cKc/gYuW7asvr7e+Uvkfvt++umnhQsXTpo0KSoq6r777isoKJDdX5zZbM7MzIyOjo6MjIyPj//ggw94twaw989//pN7y+64444ffvjBO2X2rKKiopkzZ8q08Izjx4/HxsYWFRUNeKYP3D6bzXb06NFHHnlk0qRJkZGRd911V3Z2dnt7u/05Qq366R6z2ZyWlnbq1CmdTnfvvfeeOXOmoqJi6dKlmzZtmjNnjtilGxybzVZQULB///4777xzwJMbGhqam5tHjx6tVqvtj7M+lYve3t5du3aVlZXNmzdP7LIMjtVqXb9+/a5du8LCwlJSUs6ePVtaWlpVVbVt27aYmBhHr5L17SsqKlq5cmVPT09iYuKIESNKS0uffvrpNWvWZGRkyGXdgtra2vT09JaWFmZip9Fo/PHHH51P7Dx+/LhCoQgLCxs+fDhzUK1WK5XSeld0RX19fXZ2dldXl9gFGZLW1tbs7Ozm5mZXTpb77bPZbNu2bcvOzg4MDExMTBw1alRZWdnWrVtramo2b9587a3DJhl9fX1ZWVmRkZFbtmyxWq304Lfffjt9+vT4+PgzZ86IW7xBsVqtO3bsmDx5sk6nW7RokcVicX7+9u3bIyMjP//8c+8UT1CXLl1av359ZGSkTqdbtWqV2MUZnPLy8ttuu23JkiXt7e30yKeffjp58uSMjIxLly45epV8b19LS0tycvL06dOPHTtGjzQ0NCQlJc2YMePkyZPils1FV65cefrppydPnvzpp5/SI+3t7UuWLJk8efIXX3zh6FUdHR1Lliy55557zp8/762SCqWysvL3v/+9Tqe7/fbbq6urxS6Om/73v/8lJyfrdDqdTldYWOj8ZB+4fSdPnpwxY0ZSUlJdXR09cunSpbVr1+p0uk2bNjGnSaiV+8KFC6WlpZMmTZo/f35AQAA9+Lvf/W7u3Llms/nkyZPiFs91tMFt/fr1Op3OxVrUiRMnQkJCbrrpJqHLJrSffvpp8eLFO3bsmDJlSlBQkNjFGRybzVZQUNDd3f2nP/2JuXGzZs26//77v/nmG9Yi8/bke/uqq6tra2sfeOCBO+64gx4JDw9/5plnLly48Pnnn4tbNhfV1dXRzfv0V7e8VKvVK1asGD58+KFDh2wOmus7OztPnz4dHh5+ww03eK+snnb58uX333//scce6+7u1nlqb2+vo/1KycnJv/zyy9SpU115iQ/cvi+//LKpqWnJkiXMjQsODn788cdDQ0OPHj3KdIxKK6GHDRs2adIk1qrdY8eOFatI7tm0adORI0dSUlK2bNkSEhIy4PkdHR0NDQ033XTTzTff7IXiCaejo8NoNB4/fnzlypVyXDmuvb29qqpq3LhxkyZNYg4qlcoZM2ZYLJbq6mreV8n69lVUVPT09MycOdO+QTs6Onrs2LHffvttd3e3iGVz0YkTJ5qbm6dPnx4cHMwc1Ol0Go2mpqamtbWV91Xnzp1rbW2NiooaOXKkt0rqeV999dWrr74aHh7+4Ycf/va3vxW7OG6qra196aWXAgICtm7dOnfuXFde4gO3r7GxMTQ0dMqUKfYHR44cOWLECPsjEkroKVOmFBYW5uTk2HckWCyW4uJitVotowqKRqPZtWvXa6+95uJvT3t7u9lsVqvVOTk5dIhcbGwsd8i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area?","description":"Your friend has a ranch with four distinct boundary lines. Three boundary lines are ideal straight roads: (1) North Club Road, (2) East Cathedral Road,  and (3) North Market Road. The fourth boundary line is the Threadwater Canal. The length of the second boundary line is exactly one mile. You have visualized that any point on the Threadwater Canal is defined by cartesian coordinates x and y in miles, where x is its distance from North Club Road, and y is its distance from East Cathedral Road. A surveyor has found the function y(x) for you. She also told you that one square mile is 640 acres. She wants you to calculate the area of this ranch in acres.","description_html":"\u003cp\u003eYour friend has a ranch with four distinct boundary lines. Three boundary lines are ideal straight roads: (1) North Club Road, (2) East Cathedral Road,  and (3) North Market Road. The fourth boundary line is the Threadwater Canal. The length of the second boundary line is exactly one mile. You have visualized that any point on the Threadwater Canal is defined by cartesian coordinates x and y in miles, where x is its distance from North Club Road, and y is its distance from East Cathedral Road. A surveyor has found the function y(x) for you. She also told you that one square mile is 640 acres. She wants you to calculate the area of this ranch in acres.\u003c/p\u003e","function_template":"function acres = ranch(y)\r\n  acres=y(1)^2;\r\nend","test_suite":"%%\r\ny=@(x)1+x/10^10;\r\nacres=round(ranch(y));\r\nacres_correct = 640;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)0.5+x/10^10;\r\nacres=round(ranch(y));\r\nacres_correct = 320;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)1+x;\r\nacres=round(ranch(y));\r\nacres_correct = 960;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)2+sin(x);\r\nacres=round(ranch(y));\r\nacres_correct = 1574;\r\nassert(acres==acres_correct)\r\n%%\r\ny=@(x)3+cos(x);\r\nacres=round(ranch(y));\r\nacres_correct = 2459;\r\nassert(acres==acres_correct)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":53,"test_suite_updated_at":"2012-02-29T07:24:36.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-02-29T03:37:08.000Z","updated_at":"2026-05-25T22:35:43.000Z","published_at":"2012-02-29T07:24:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour friend has a ranch with four distinct boundary lines. Three boundary lines are ideal straight roads: (1) North Club Road, (2) East Cathedral Road, and (3) North Market Road. The fourth boundary line is the Threadwater Canal. The length of the second boundary line is exactly one mile. You have visualized that any point on the Threadwater Canal is defined by cartesian coordinates x and y in miles, where x is its distance from North Club Road, and y is its distance from East Cathedral Road. A surveyor has found the function y(x) for you. She also told you that one square mile is 640 acres. She wants you to calculate the area of this ranch in acres.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":56255,"title":"Area under the curve","description":"Compute area under the curve specified by points stored in y, where y is in range (0,inf) and x time step is 1. \r\nnote: please round the result to 4 decimals.\r\nexample: y=[1 2 3 5 8 9 10]\r\n                area=32.5000","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 111px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 55.5px; transform-origin: 407px 55.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCompute area under the curve specified by points stored in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ey, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ey\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is in range (0,inf) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ex\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e time step is 1. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003enote: please round the result to 4 decimals.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eexample: y=[1 2 3 5 8 9 10]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e                area=32.5000\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(y)\r\n  area= 'Your solution'\r\nend","test_suite":"%%\r\nx = [1 2 3 5 8 9 10];\r\ny_correct = 32.5000;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\n\r\nx = [43    10    27    16    29    45    53    46    88    52    95    64    96    25    68    29    68];\r\ny_correct = 798.5000;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\n\r\nx=[70     7    26    23    67    85    35    79    68     1];\r\ny_correct = 425.5000;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\n\r\nx=[0.993183755212665   0.480756369506705   0.827750131864470   0.603238265822881   0.817841681068066   0.955547170535556   0.650378193390669 0.627647346270777   0.646563331304310   0.062133128691720];\r\ny_correct = 6.1374;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":1739584,"edited_by":1739584,"edited_at":"2022-10-10T12:14:42.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-10T12:13:31.000Z","updated_at":"2026-06-03T00:17:11.000Z","published_at":"2022-10-10T12:14:42.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute area under the curve specified by points stored in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e is in range (0,inf) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e time step is 1. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enote: please round the result to 4 decimals.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eexample: y=[1 2 3 5 8 9 10]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e                area=32.5000\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60166,"title":"Recursive triangle area","description":"Given triangle 1 with sides of length a, b, and c.  Triangle 2 is constructed within triangle 1 by bisecting each side.  Triangle 3 is constructed within triangle 2 by bisecting each of triangle 2's sides.  And so on. \r\nFind the area of triangle n.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 71.9661px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 359.492px 35.9766px; transform-origin: 359.499px 35.9831px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 41.9792px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 336.497px 20.9896px; text-align: left; transform-origin: 336.497px 20.9896px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven triangle 1 with sides of length a, b, and c.  Triangle 2 is constructed within triangle 1 by bisecting each side.  Triangle 3 is constructed within triangle 2 by bisecting each of triangle 2's sides.  And so on. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.9896px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 336.497px 10.4948px; text-align: left; transform-origin: 336.497px 10.4948px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of triangle n.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = your_fcn_name(a,b,c,n)\r\n  area = a+b+c+n;\r\nend","test_suite":"%%\r\na=1;b=1;c=sqrt(2);n=1;\r\ny_correct = 0.50;\r\nassert(your_fcn_name(a,b,c,n) - y_correct \u003c y_correct/1000)\r\n\r\n\r\n%%\r\na=100;b=100;c=100;n=2;\r\ny_correct = 1082.53;\r\nassert(your_fcn_name(a,b,c,n) - y_correct \u003c y_correct/1000)\r\n\r\n\r\n%%\r\na=13;b=33;c=44;n=4;\r\ny_correct = 2.0540;\r\nassert(your_fcn_name(a,b,c,n) - y_correct \u003c y_correct/1000)","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":3293343,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-04-30T18:08:43.000Z","updated_at":"2026-06-05T02:44:24.000Z","published_at":"2024-04-30T18:08:43.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven triangle 1 with sides of length a, b, and c.  Triangle 2 is constructed within triangle 1 by bisecting each side.  Triangle 3 is constructed within triangle 2 by bisecting each of triangle 2's sides.  And so on. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of triangle n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2944,"title":"Areas","description":"Given certain dimensions determine the area of that shape. If given only one value assume its the radius. Use round(x) to round each area\r\n\r\nx= [2 2 4 4]\r\n\r\narea = 8 \r\n\r\nx=[3 4 5]\r\n\r\narea = 6","description_html":"\u003cp\u003eGiven certain dimensions determine the area of that shape. If given only one value assume its the radius. Use round(x) to round each area\u003c/p\u003e\u003cp\u003ex= [2 2 4 4]\u003c/p\u003e\u003cp\u003earea = 8\u003c/p\u003e\u003cp\u003ex=[3 4 5]\u003c/p\u003e\u003cp\u003earea = 6\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = round(x);\r\nend","test_suite":"%%\r\nx = 5;\r\ny_correct = 79;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [2 2 2 2];\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [5 12 13];\r\ny_correct = 30;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = [2 6 2 6];\r\ny_correct = 12;\r\nassert(isequal(your_fcn_name(x),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":33703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":84,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-04T17:37:46.000Z","updated_at":"2026-08-19T11:43:27.000Z","published_at":"2015-02-04T17:37:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven certain dimensions determine the area of that shape. If given only one value assume its the radius. Use round(x) to round each area\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex= [2 2 4 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003earea = 8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=[3 4 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003earea = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45337,"title":"Area-03","description":"There are two circles of equal size are inscribed inside a square. They are tangent to each other.\r\n\r\n\u003chttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003e\r\n\r\nGiven the side length of the square, find the radius of the circles.","description_html":"\u003cp\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\"\u003ehttps://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eGiven the side length of the square, find the radius of the circles.\u003c/p\u003e","function_template":"function y =inscribed_circle_3(a)\r\n  y = x;\r\nend","test_suite":"%%\r\na = 1;\r\ny_correct = .2929;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 10;\r\ny_correct = 2.9289;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 23.6;\r\ny_correct = 6.9123;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = 0;\r\ny_correct = 0;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)\r\n\r\n%%\r\na = pi;\r\ny_correct = 0.9202;\r\nassert(abs(inscribed_circle_3(a)-y_correct)\u003c0.001)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T06:35:50.000Z","updated_at":"2026-05-30T03:51:06.000Z","published_at":"2020-02-17T06:36:40.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are two circles of equal size are inscribed inside a square. They are tangent to each other.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/4629487514d477b90123a8d594e9bdaa5ddba8e2ac82569375c49cd5551dd3acffb751ed.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the side length of the square, find the radius of the circles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":50504,"title":"Find the area between curves (P3)","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 541px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 270.5px; transform-origin: 407px 270.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20px; border-block-end-color: rgb(60, 60, 60); border-block-start-color: rgb(60, 60, 60); border-bottom-color: rgb(60, 60, 60); border-inline-end-color: rgb(60, 60, 60); border-inline-start-color: rgb(60, 60, 60); border-left-color: rgb(60, 60, 60); border-right-color: rgb(60, 60, 60); border-top-color: rgb(60, 60, 60); caret-color: rgb(60, 60, 60); color: rgb(60, 60, 60); column-rule-color: rgb(60, 60, 60); font-family: Helvetica, Arial, sans-serif; font-size: 20px; font-weight: 700; line-height: 20px; margin-block-end: 5px; margin-block-start: 3px; margin-bottom: 5px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 3px; outline-color: rgb(60, 60, 60); perspective-origin: 384px 10px; text-align: left; text-decoration: none; text-decoration-color: rgb(60, 60, 60); transform-origin: 384px 10px; white-space: pre-wrap; margin-left: 4px; margin-top: 3px; margin-bottom: 5px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eArea between curves - Problem 3\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFind the area enclosed by the curves \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"87.5\" height=\"18\" style=\"width: 87.5px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = AreaCurves(a, b)\r\n  \r\nend","test_suite":"%%\r\nfiletext = fileread('AreaCurves.m');\r\nfor ii = [0.4208, 0.5101, 0.2569, 0.1252, 1.1838]\r\n    assert(isempty(strfind(filetext, num2str(ii))),'Do NOT use provided answers in your solution')\r\nend\r\nassert(isempty(strfind(filetext, 'if')),'if: Forbidden')\r\nassert(isempty(strfind(filetext, 'switch')),'switch: Forbidden')\r\n%%\r\na = 1; \r\nb = 0.5;\r\n\r\ny_correct = 0.4208;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = 2; \r\nb = 0.5; \r\n\r\ny_correct = 0.5101;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = exp(1); \r\nb = 1; \r\n\r\ny_correct = 0.2569;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = 0.5;\r\nb = 0.4;\r\n\r\ny_correct = 0.1252;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n%%\r\na = sqrt(2);\r\nb = 0.1;\r\n\r\ny_correct = 1.1838;\r\nassert(abs(AreaCurves(a,b)-y_correct)\u003c1e-4)\r\n\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":487522,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-02-19T18:50:42.000Z","updated_at":"2026-05-31T01:02:20.000Z","published_at":"2021-02-19T18:51:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"heading\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea between curves - Problem 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area enclosed by the curves \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(x) = sin(ax)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x) = bx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for different \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e coefficients\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml 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cow is tied to an outside corner of a rectangular barn of size (a,b) with a rope of length l. What is the maximum area the cow can graze outside the barn?\r\n\r\n\u003chttps://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\u003e\r\n\r\nNb.the test cases are simpler for this problem. They'll be enhanced in the next case.","description_html":"\u003cp\u003eA cow is tied to an outside corner of a rectangular barn of size (a,b) with a rope of length l. What is the maximum area the cow can graze outside the barn?\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\"\u003ehttps://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\u003c/a\u003e\u003c/p\u003e\u003cp\u003eNb.the test cases are simpler for this problem. They'll be enhanced in the next case.\u003c/p\u003e","function_template":"function y = grazing_01(a,b,l)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(abs(grazing_01(10,20,5)-58.9049)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(5,25,2)-9.4248)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(5,25,8)-157.8650)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(20,20,20)- 942.4778)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(10,20,0)-0)\u003c0.001)\r\n%%\r\nassert(abs(grazing_01(12,20,25)-1624.9888)\u003c0.001)\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":3,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-20T10:45:47.000Z","updated_at":"2026-05-30T03:51:19.000Z","published_at":"2020-02-20T11:20:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA cow is tied to an outside corner of a rectangular barn of size (a,b) with a rope of length l. What is the maximum area the cow can graze outside the barn?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://serving.photos.photobox.com/495639807b8e93bb90ab3c212fe921e51fefc77e0b8756d28871096f5482839b5e5d4bb8.jpg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNb.the test cases are simpler for this problem. They'll be enhanced in the next case.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61451,"title":"Geometry time 5! (Hard)","description":"In the following shape you are requested to find the radius of the circle(r):\r\n\r\nFurther explanation: 1) ABCD and pink shape are squares.\r\n2)The area of the small square (A) will be given. \r\nNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 434.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 217.4px; transform-origin: 469px 217.4px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 314.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 157.4px; text-align: left; transform-origin: 445px 157.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"308\" height=\"309\" style=\"vertical-align: baseline;width: 308px;height: 309px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eFurther explanation: 1) ABCD and pink shape are squares.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003e2)The area of the small square (A) will be given. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNO TIPS. GOOD LUCK!!!!!!!!!!!!!!!!!!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = circle_radius(A)\r\n    \r\nend","test_suite":"%%\r\nA = 16;\r\ny_correct = 2.3431;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA_test = rand() * 499 + 1; \r\nr_user = circle_radius(A_test);\r\nk = 2 - sqrt(2); \r\nr_expected = sqrt(A_test) * k;\r\nassert(abs(r_user - r_expected) \u003c 1e-6, ...\r\n    'Test failed for random area input A = %g.', A_test);\r\n%%\r\nA = 25;\r\ny_correct = 2.9289;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 121;\r\ny_correct = 6.4437;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);\r\n%%\r\nA = 10000;\r\ny_correct = 58.5786;\r\nassert(abs(circle_radius(A) - y_correct) \u003c 1e-3);","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":5158730,"edited_by":5158730,"edited_at":"2026-08-24T15:20:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T11:30:44.000Z","updated_at":"2026-08-26T15:37:39.000Z","published_at":"2026-08-24T11:30:44.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the following shape you are requested to find the radius of the circle(r):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"309\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"308\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFurther explanation: 1) ABCD and pink shape are squares.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2)The area of the small square (A) will be given. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNO TIPS. GOOD 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left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 207.5px 8px; transform-origin: 207.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFind the area of a five-pointed star inscribed in a circle of radius r.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y =yoonir_02(r)","test_suite":"%%\r\nassert(abs(yoonir_02(10)-112.257)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(3)-10.1031)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi)-11.0793)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(pi^5)-105126.4832)\u003c0.001)\r\n\r\n%%\r\nassert(abs(yoonir_02(1)-1.1226)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":223089,"edited_at":"2023-01-14T09:16:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":26,"test_suite_updated_at":"2023-01-14T09:16:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-31T00:21:25.000Z","updated_at":"2026-07-10T11:27:01.000Z","published_at":"2020-03-31T00:21:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a five-pointed star inscribed in a circle of radius r.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49072,"title":"Area Conversion 2","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 10.5px; transform-origin: 332px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven an area in hectares, convert it to acres.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = convert_stuff(x)\r\n  y = x*713*pi;\r\nend","test_suite":"%%\r\nx = 121;\r\ny_correct = 299.0031;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 333;\r\ny_correct = 822.8763;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n%%\r\nx = 1.2;\r\ny_correct = 2.9653;\r\nassert(isequal(convert_stuff(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":2,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":868,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-12-22T21:57:51.000Z","updated_at":"2026-08-25T15:42:08.000Z","published_at":"2020-12-22T21:57:51.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an area in hectares, convert it to acres.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45271,"title":"Calculate triangle area","description":"Imagine that you want to calculate the areas of some triangles given in matrix form. First the coordinates of the vertices of the triangles are in a matrix called coords where the line number represents the vertex number and the column number is the dimension, in this case it is equal to 2 (x, y). The way the nodes connect are found in the lnods matrix where the line number is the triangle number and the column number is the vertex number that makes up each triangle (v_i, v_j, v_k).","description_html":"\u003cp\u003eImagine that you want to calculate the areas of some triangles given in matrix form. First the coordinates of the vertices of the triangles are in a matrix called coords where the line number represents the vertex number and the column number is the dimension, in this case it is equal to 2 (x, y). The way the nodes connect are found in the lnods matrix where the line number is the triangle number and the column number is the vertex number that makes up each triangle (v_i, v_j, v_k).\u003c/p\u003e","function_template":"function y =areas(coords,lnods)\r\n  y = ?;\r\nend","test_suite":"%%\r\ncoords=[0 0;1 0; 1 1; 0 1];\r\nlnods=[ 1 2 4; 2 3 4];\r\ny_correct = [0.500;0.500];\r\nassert(isequal(areas(coords,lnods),y_correct))\r\n%%\r\ncoords=[0 0;1 0; 1 1; 0 1; 0.5 0.5];\r\nlnods=[ 1 2 5; 2 3 5;3 4 5;4 1 5];\r\ny_correct = [0.2500;0.2500;0.2500;0.2500];\r\nassert(isequal(areas(coords,lnods),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":396229,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-19T02:12:33.000Z","updated_at":"2026-05-30T04:52:04.000Z","published_at":"2020-01-19T02:17:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eImagine that you want to calculate the areas of some triangles given in matrix form. First the coordinates of the vertices of the triangles are in a matrix called coords where the line number represents the vertex number and the column number is the dimension, in this case it is equal to 2 (x, y). The way the nodes connect are found in the lnods matrix where the line number is the triangle number and the column number is the vertex number that makes up each triangle (v_i, v_j, v_k).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2239,"title":"Avalaible area: wall construction","description":"You need to build a wall to enclose a certain area. Calculate the available area after you build the wall. \r\n\r\nAssumptions\r\n\r\n* Wall could consist of multiple layers of material. example: a wall of 2 materials: rock of 1 meter thickness and wood of 0.5 meter thickness. The total thickness of the wall 1.5 meters.\r\n* x and y: the dimensions of the area before the wall is build. example: x=5m,y=4m. Total area 20m^2.\r\n\r\nExample\r\n\r\nArea of dimensions x=5m,y=5m and wall of 3 materials with thicknesses: 0.2m,0.1m,1m . Avalaible area after the wall is build : 5.76m^2\r\n\r\n \u003e\u003e AvailableArea(5,5,0.2,0.1,1) \r\n \u003e\u003e ans=5.76\r\n","description_html":"\u003cp\u003eYou need to build a wall to enclose a certain area. Calculate the available area after you build the wall.\u003c/p\u003e\u003cp\u003eAssumptions\u003c/p\u003e\u003cul\u003e\u003cli\u003eWall could consist of multiple layers of material. example: a wall of 2 materials: rock of 1 meter thickness and wood of 0.5 meter thickness. The total thickness of the wall 1.5 meters.\u003c/li\u003e\u003cli\u003ex and y: the dimensions of the area before the wall is build. example: x=5m,y=4m. Total area 20m^2.\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eExample\u003c/p\u003e\u003cp\u003eArea of dimensions x=5m,y=5m and wall of 3 materials with thicknesses: 0.2m,0.1m,1m . Avalaible area after the wall is build : 5.76m^2\u003c/p\u003e\u003cpre\u003e \u0026gt;\u0026gt; AvailableArea(5,5,0.2,0.1,1) \r\n \u0026gt;\u0026gt; ans=5.76\u003c/pre\u003e","function_template":"function A = AvailableArea(x,y,varargin)\r\n %A=..\r\nend","test_suite":"%%\r\ny_correct = 64;\r\nassert(isequal(AvailableArea(10,10,1),y_correct))\r\n\r\n%%\r\n\r\ny_correct = 3844;\r\nassert(isequal(AvailableArea(70,70,1,2,1),y_correct))\r\n\r\n%%\r\n\r\ny_correct = 49;\r\nassert(isequal(AvailableArea(9,9,1),y_correct))\r\n\r\n%%\r\n\r\ny_correct = 3900;\r\nassert(isequal(AvailableArea(75,70,1,3,1),y_correct))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":24008,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":73,"test_suite_updated_at":"2014-03-10T20:27:07.000Z","rescore_all_solutions":false,"group_id":26,"created_at":"2014-03-08T16:23:45.000Z","updated_at":"2026-05-20T15:50:00.000Z","published_at":"2014-03-08T16:24:08.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou need to build a wall to enclose a certain area. Calculate the available area after you build the wall.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAssumptions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWall could consist of multiple layers of material. example: a wall of 2 materials: rock of 1 meter thickness and wood of 0.5 meter thickness. The total thickness of the wall 1.5 meters.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex and y: the dimensions of the area before the wall is build. example: x=5m,y=4m. Total area 20m^2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArea of dimensions x=5m,y=5m and wall of 3 materials with thicknesses: 0.2m,0.1m,1m . Avalaible area after the wall is build : 5.76m^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ \u003e\u003e AvailableArea(5,5,0.2,0.1,1) \\n \u003e\u003e ans=5.76]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60999,"title":"Total Area Covered by Overlapping Polygons","description":"Given a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with the following vertex coordinates:\r\np1=[0.2,0.2; 0.5,0.2; 0.5,0.5; 0.2,0.5];\r\np2=[0.4,0.4; 0.8,0.4; 0.8,0.8; 0.4,0.8];\r\n\r\nThe total area covered is the area of the first polygon plus the area of the second polygon minus the overlap. This comes out to 0.24 units.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 617.571px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407.997px 308.778px; transform-origin: 407.997px 308.785px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42.017px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21.0085px; text-align: left; transform-origin: 385px 21.0085px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with the following vertex coordinates:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0085px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.4972px; text-align: left; transform-origin: 385px 10.5043px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ep1=[0.2,0.2; 0.5,0.2; 0.5,0.5; 0.2,0.5];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0085px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.4972px; text-align: left; transform-origin: 385px 10.5043px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ep2=[0.4,0.4; 0.8,0.4; 0.8,0.8; 0.4,0.8];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 425.554px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 212.77px; text-align: left; transform-origin: 385px 212.777px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"560\" height=\"420\" style=\"vertical-align: baseline;width: 560px;height: 420px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.017px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21.0085px; text-align: left; transform-origin: 385px 21.0085px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe total area covered is the area of the first polygon plus the area of the second polygon minus the overlap. This comes out to 0.24 units.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0085px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.4972px; text-align: left; transform-origin: 385px 10.5043px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = lapgon(P)\r\n    A=[];\r\nend","test_suite":"%% Test Case 1\r\nP{1}=[0.2,0.2;0.5,0.2;0.5,0.5;0.2,0.5];\r\nP{2}=[0.4,0.4;0.8,0.4;0.8,0.8;0.4,0.8];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.240000;\r\n\r\nassert(isequal(A,A_correct))\r\n\r\n%% Test Case 2\r\nP{1}=[0.1783,0.2985;0.3849,0.6214;0.8407,0.8054];\r\nP{2}=[0.1112,0.8761;0.8927,0.4062;0.6089,0.0228];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.244813;\r\n\r\nassert(isequal(A,A_correct))\r\n\r\n%% Test Case 3\r\nP{1}=[0.5967,0.2763;0.3286,0.2200;0.7586,0.4690];\r\nP{2}=[0.4809,0.5456;0.5589,0.2875;0.5021,0.3001;0.2000,0.7725];\r\nP{3}=[0.4260,0.0843;0.0140,0.4489;0.5535,0.8630;0.4133,0.3718;0.8033,0.0733];\r\nP{4}=[0.0169,0.7757;0.1636,0.9072;0.7480,0.9785;0.2718,0.4179;0.8687,0.2735;0.0599,0.1064];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.459378;\r\n\r\nassert(isequal(A,A_correct))\r\n\r\n%% Test Case 4\r\ntheta=0:0.01:2*pi;\r\nP{1}(:,1)=0.35*cos(theta)+0.6;\r\nP{1}(:,2)=0.22*sin(theta)+0.5;\r\nP{2}=[0.1083,0.3508;0.7413,0.9426;0.2748,0.0933];\r\n\r\nA=round(lapgon(P),6);\r\nA_correct=0.307282;\r\n\r\nassert(isequal(A,A_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":4910069,"edited_by":4910069,"edited_at":"2025-09-12T18:34:35.000Z","deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2025-09-12T18:34:35.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-09-12T17:15:15.000Z","updated_at":"2026-06-06T06:02:56.000Z","published_at":"2025-09-12T18:28:07.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with the following vertex coordinates:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ep1=[0.2,0.2; 0.5,0.2; 0.5,0.5; 0.2,0.5];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ep2=[0.4,0.4; 0.8,0.4; 0.8,0.8; 0.4,0.8];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"420\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"560\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe total area covered is the area of the first polygon plus the area of the second polygon minus the overlap. 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45407,"title":"Yoonir - 02","description":"Find the area of a six-pointed star inscribed in a circle of radius r.","description_html":"\u003cp\u003eFind the area of a six-pointed star inscribed in a circle of radius r.\u003c/p\u003e","function_template":"function y =yoonir_04(r)","test_suite":"%%\r\nassert(abs(yoonir_04(10)-173.2050)\u003c0.001)\r\n\t\r\n%%\r\nassert(abs(yoonir_04(20)-692.8203)\u003c0.001)\r\n\t\r\n%%\r\nassert(abs(yoonir_04(pi)-17.0946)\u003c0.001)\r\n\t\r\n%%\r\nassert(abs(yoonir_04(pi^4)-16434.6178)\u003c0.001)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":5,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":21,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-31T00:59:00.000Z","updated_at":"2026-07-13T10:38:56.000Z","published_at":"2020-03-31T00:59:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the area of a six-pointed star inscribed in a circle of radius r.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61071,"title":"Generalizing square area to triangle area","description":"Cody Problem 61070 asked for the height, h, of a right triangle that had the same area, A, of a square with side length, c, and the hypothenuse length was correlated to the square side by x = 2. \r\nNow, find the height, h, of the right triangle that has the same area, A, of a square with side length, c, and the hypothenuse length is xc, for an arbitrary number x \u003e 2. Here, the height stands for the smallest cathetus.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 123px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 61.5px; transform-origin: 408px 61.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/61070-square-area-to-triangle-area\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eCody Problem 61070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asked for the height, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a right triangle that had the same area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square with side length, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ec\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hypothenuse length was correlated to the square side by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ex = 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNow, find the height, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of the right triangle that has the same area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a square with side length, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ec\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hypothenuse length is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003exc\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, for an arbitrary number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ex \u0026gt; 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Here, the height stands for the smallest cathetus.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = find_height(A,x)\r\n  h = x;\r\nend","test_suite":"%%\r\nA = 9;\r\nx = sqrt(5);\r\nh_correct = 3;\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n\r\n%%\r\nA = 10;\r\nx = 3;\r\nh_correct = sqrt(5*(9-sqrt(65)));\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n\r\n%%\r\nA = 16;\r\nx = sqrt(5);\r\nh_correct = 4;\r\nassert(isequal(find_height(A,x),h_correct))\r\n\r\n%%\r\nfiletext = fileread('find_height.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 16;\r\nx = 3; \r\nh_correct = 4*sqrt((9-sqrt(65))/2);\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n\r\n%%\r\nA = 16;\r\nx = 5; \r\nh_correct = 4*sqrt((25 - sqrt(609))/2);\r\ntolerance = 1e-12;\r\nassert(abs(find_height(A,x)-h_correct)\u003ctolerance)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":7,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-11-13T10:09:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2025-11-13T10:09:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-10T14:44:15.000Z","updated_at":"2026-08-17T17:46:55.000Z","published_at":"2025-11-12T17:58:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/61070-square-area-to-triangle-area\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody Problem 61070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asked for the height, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a right triangle that had the same area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square with side length, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hypothenuse length was correlated to the square side by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNow, find the height, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of the right triangle that has the same area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a square with side length, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hypothenuse length is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exc\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, for an arbitrary number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex \u0026gt; 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Here, the height stands for the smallest cathetus.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":61091,"title":"Slicing a 4-pointed star polygon","description":"Given the area, A, of a 4-pointed star polygon formed by the rectangle, with dimensions L×2L, and four triangles, with height h from their bases to the vertices, consider the area, A_r, of the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \r\nGiven (A,h), find the 9×2 matrix, M = [A1 a1; A2 a2; ...; A8 a8; A_r/π n], where\r\nin the first row (i=1), A1 stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and a1 stands for the logical 1 if A1 does not exceed the circle's area, A_r, or a1 stands for the logical 0 otherwise;\r\nin the second row (i=2), A2 stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and a2 has the same previous false-true meaning relative to the areas A2 and A_r;\r\nand so on, until last slice of the 4-pointed star polygon;\r\nin the last row (i=9), A_r is the area of the circle, and n stands for the maximum number of slices that their cumulative area does not exceed the circle area.\r\nHint: The slices of the 4-pointed star polygon are not congruent among each other.\r\ninput: (A, h)\r\noutput: M = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 840.862px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 420.425px; transform-origin: 408px 420.431px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2L\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and four triangles, with height \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from their bases to the vertices, consider the area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A,h)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e9\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e×\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 143.062px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 391px 71.525px; transform-origin: 391px 71.5312px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the first row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=1)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e does not exceed the circle's area, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the logical \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e otherwise;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the second row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ea2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e has the same previous false-true meaning relative to the areas \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4375px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2125px; text-align: left; transform-origin: 363px 10.2188px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand so on, until last slice of the 4-pointed star polygon;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.875px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 20.4375px; text-align: left; transform-origin: 363px 20.4375px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein the last row \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(i=9)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eA_r\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the area of the circle, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003einput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(A, h)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eoutput:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi n]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 484.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 384px 242.4px; text-align: left; transform-origin: 384px 242.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cimg class=\"imageNode\" width=\"601\" height=\"479\" style=\"vertical-align: baseline;width: 601px;height: 479px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function M = slicing_star(A,h)\r\n  M = x;\r\nend","test_suite":"%%\r\nA = 27;\r\nh = 1;\r\nM_correct = [3 1; 6.75 1; 10.5 1; 13.5 1; 16.5 1; 20.25 0; 24 0; 27 0; 6.25 5];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nA = 36;\r\nh = 2;\r\nM_correct = [3.75 1; 9 1; 14.25 1; 18 1; 21.75 1; 27 1; 32.25 1; 36 1; 12.25 8];\r\nassert(isequal(slicing_star(A,h),M_correct))\r\n\r\n%%\r\nfiletext = fileread('slicing_star.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n\r\n%%\r\nA = 68;\r\nh = 1.2;\r\nM_correct = [7.75 1; 17 1; 26.25 1; 34 1; 41.75 1; 51 0; 60.25 0; 68 0; 13.69 5];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n\r\n%%\r\nA = 89;\r\nh = 2.6;\r\nM_correct = [9.5 1; 22.25 1; 35 1; 44.5 1; 54 1; 66.75 1; 79.5 1; 89 0; 26.01 7];\r\nassert(all(isapprox(slicing_star(A,h),M_correct), 'all'))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":4993982,"edited_by":4993982,"edited_at":"2025-12-08T13:42:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-12-03T13:58:16.000Z","updated_at":"2026-08-18T12:54:18.000Z","published_at":"2025-12-08T13:42:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, of a 4-pointed star polygon formed by the rectangle, with dimensions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e×\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and four triangles, with height \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e from their bases to the vertices, consider the area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eof the circle that covers the shorter of the two distances between opposite vertices (cf. left figure below) and slice the star polygon by 8 slices (cf. right figure below). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A,h)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e9\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e×\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/π n]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, where\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the first row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=1)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of one 'blue' slice of the 4-pointed star polygon (cf. right figure), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e does not exceed the circle's area, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the logical \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e otherwise;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the second row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=2)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the area of two slices (cumulative sum of 'blue' and 'green' slices by consecutive vertices), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e has the same previous false-true meaning relative to the areas \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand so on, until last slice of the 4-pointed star polygon;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein the last row \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(i=9)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA_r\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the area of the circle, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e stands for the maximum number of slices that their cumulative area does not exceed the circle area.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint: The slices of the 4-pointed star polygon are not congruent among each other.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003einput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(A, h)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eoutput:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eM = [A1 a1; A2 a2; ...; A8 a8; A_r/pi 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/r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of polygon","description":"Given the vertices in vectors X,Y, return the area of the polygon they define.","description_html":"\u003cp\u003eGiven the vertices in vectors X,Y, return the area of the polygon they define.\u003c/p\u003e","function_template":"function A = polygon_area(x,y)\r\n  A = x+y;\r\nend","test_suite":"%%\r\nL=linspace(0,2.*pi,9);\r\nx = 1.2*cos(L)';\r\ny = 1.2*sin(L)';\r\na_correct = 4.072935;\r\nassert( abs(polygon_area(x,y)-a_correct) \u003c 1e-04 )\r\n%%\r\nx = (1:10)';\r\ny = [0,ones(1,9)]';\r\na_correct = 4;\r\nassert( isequal(polygon_area(x,y),a_correct) )\r\n%%\r\nx=[0,5,3]';\r\ny=[0,0,9]';\r\na_correct = 22.5;\r\nassert( abs(polygon_area(x,y)-a_correct) \u003c 1e-04 )\r\n%%\r\nx=[0,5,3,11]';\r\ny=[0,0,9,126]';\r\na_correct = 162;\r\nassert( isequal(polygon_area(x,y),a_correct) 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version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the vertices in vectors X,Y, return the area of the polygon they define.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":61455,"title":"Not yet geometry(square, rectangle and trapezium)","description":"Type the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\r\nTips:1)As a string A with space between the formulas.\r\n2)First the width and then the length of the rectangle.\r\n3)First the small base, then the big base and then the height of the trapezium.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 132px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 469px 66px; transform-origin: 469px 66px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 21px; text-align: left; transform-origin: 445px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eType the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTips:1)As a string A with space between the formulas.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2)First the width and then the length of the rectangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 445px 10.5px; text-align: left; transform-origin: 445px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3)First the small base, then the big base and then the height of the trapezium.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function A = formulas(x)\r\n  \r\nend","test_suite":"%%\r\ny_correct = 'Asq=a^2 Arec=w*l Atr=(b+B)*h/2'\r\nassert(isequal(formulas(),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":5158730,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-08-24T14:54:38.000Z","updated_at":"2026-08-25T12:35:06.000Z","published_at":"2026-08-24T14:54:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eType the formula of the area of a square(Asq) of side(a), a rectangle(Arec) of length(l) and width(w) and of a trapezium(Atr) of small base(b), big base(B) and height(h).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTips:1)As a string A with space between the formulas.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2)First the width and then the length of the 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