[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467961-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-467961-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","finding-areas-in-a-composite-figure","Finding Areas in a Composite Figure","","Finding Areas in a Composite Figure is a math worksheet focused on calculating areas of composite shapes built from triangles. Students use given side lengths to answer multiple questions about total figure area and the area of specific triangles, distinguishing between shaded and unshaded regions. Each problem provides dimensions in centimeters and multiple-choice answers, with an accompanying answer key listing the correct selections for questions 1 through 6.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/finding-areas-in-a-composite-figure/467961/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/finding-areas-in-a-composite-figure/467961.png","ImageObject",300,407,{"name":42,"@type":43},"Levi","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do I find the total area of the composite figure?","Question",{"text":63,"@type":64},"Use the provided side lengths to determine the areas of the constituent regions (triangles) and add them together. 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B \u003Cbr>2.  C \u003Cbr>3.  A \u003Cbr>4.  C \u003Cbr>5.  B \u003Cbr>6.  D  |\n| 3)\u003Cbr>\u003Cbr>10 cm\u003Cbr>8 cm  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 4 cm\u003Cbr>\u003Cbr>\u003Cbr>12 cm\u003Cbr>What is the area, in square centimeters, of each shaded triangle?\u003Cbr>A. 60 B. 120\u003Cbr>C. 24 D. 16 |  | 4) |  4 cm\u003Cbr>\u003Cbr>6 cm  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 6 cm\u003Cbr>\u003Cbr>\u003Cbr>8 cm\u003Cbr>What is the area, in square centimeters, of each unshaded triangle?\u003Cbr>A. 36 B. 12\u003Cbr>C. 18 D. 16 |  |\n| 5)  6 cm\u003Cbr>\u003Cbr>12 cm  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 4 cm\u003Cbr>\u003Cbr>\u003Cbr>6 cm\u003Cbr>What is the total area, in square centimeters, of the figure?\u003Cbr>A. 84 B. 156\u003Cbr>C. 114 D. 72 | 6)  6 cm\u003Cbr>\u003Cbr>6 cm \u003Cbr>\u003Cbr>\u003Cbr>10 cm\u003Cbr>\u003Cbr>8 cm\u003Cbr>What is the total area, in square centimeters, of the figure?\u003Cbr>A. 48 B. 102\u003Cbr>C. 108 D. 156 |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 9 1-6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9 1-6)[ 9](Math www.CommonCoreSheets.com 9 1-6)[ 1-6](Math www.CommonCoreSheets.com 9 1-6) 83 67 50 33 17 0  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\nFinding Areas in a Composite Figure  \nName:  \n\n| Use the figure to answer each question.\u003Cbr>1)\u003Cbr>\u003Cbr>10 cm\u003Cbr>8 cm  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 4 cm\u003Cbr>\u003Cbr>\u003Cbr>8 cm\u003Cbr>What is the total area, in square centimeters, of the figure?\u003Cbr>A. 120 B. 176\u003Cbr>C. 112 D. 64 | 2)  4 cm\u003Cbr>\u003Cbr>\u003Cbr> 6 cm\u003Cbr>\u003Cbr>\u003Cbr>6 cm\u003Cbr>What is the area, in square centimeters, of each unshaded triangle?\u003Cbr>A. 48 B. 16\u003Cbr>C. 24 D. 12 |  |  | Answers |\n| --- | --- | --- | --- | --- |\n|  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |\n| 3)\u003Cbr>\u003Cbr>10 cm\u003Cbr>8 cm  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 4 cm\u003Cbr>\u003Cbr>\u003Cbr>12 cm\u003Cbr>What is the area, in square centimeters, of each shaded triangle?\u003Cbr>A. 60 B. 120\u003Cbr>C. 24 D. 16 |  | 4) |  4 cm\u003Cbr>\u003Cbr>6 cm  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 6 cm\u003Cbr>\u003Cbr>\u003Cbr>8 cm\u003Cbr>What is the area, in square centimeters, of each unshaded triangle?\u003Cbr>A. 36 B. 12\u003Cbr>C. 18 D. 16 |  |\n| 5)  6 cm\u003Cbr>\u003Cbr>12 cm  \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 4 cm\u003Cbr>\u003Cbr>\u003Cbr>6 cm\u003Cbr>What is the total area, in square centimeters, of the figure?\u003Cbr>A. 84 B. 156\u003Cbr>C. 114 D. 72 | 6)  6 cm\u003Cbr>\u003Cbr>6 cm \u003Cb","cbCaikRRuyvXBPDo","https://ap.wps.com/l/cbCaikRRuyvXBPDo","pdf",46692,"English","# Questions\n## Total area\n## Unshaded triangle area\n## Shaded triangle area\n## Answer key","[{\"question\":\"How do I find the total area of the composite figure?\",\"answer\":\"Use the provided side lengths to determine the areas of the constituent regions (triangles) and add them together. Choose the option that matches the computed total area in square centimeters.\"},{\"question\":\"What is the method for finding the area of each unshaded triangle?\",\"answer\":\"Apply the triangle area relationship using the given dimensions, then select the answer that corresponds to the unshaded triangle area in square centimeters.\"},{\"question\":\"How are shaded triangle areas different from unshaded ones in these problems?\",\"answer\":\"The shaded versus unshaded labels indicate which triangles to compute for each question. For shaded triangles, calculate the area only for the shaded triangles and match the result to the provided choices.\"}]","Finding Areas in a Composite Figure | PDF",1790773602]