[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-274600-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-274600-en":131},{"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","area-and-perimeter-of-composite-figures-exam-practice","Area and Perimeter of Composite Figures - Exam practice","","Area and Perimeter of Composite Figures builds skills for finding area and perimeter of composite shapes by splitting them into simpler rectangles and triangles, then adding or subtracting cut-out parts. The practice section uses word problems featuring patios, L-shaped rooms, figures with removed sections, and signs with attached triangles. Quick review guidance explains the method for computing outside-edge perimeter and total area, followed by answer keys and step-by-step solution guidance.",{"@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/area-and-perimeter-of-composite-figures-exam-practice/274600/",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/area-and-perimeter-of-composite-figures-exam-practice/274600.png","ImageObject",300,407,{"name":42,"@type":43},"Chumphorn","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-26","2026-09-15",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",12,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find the area of a composite figure?","Question",{"text":63,"@type":64},"Split the composite figure into simpler shapes like rectangles and triangles. Add the areas of the included parts, or subtract any cut-out parts, then combine the results.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you find the perimeter of a composite figure?",{"text":68,"@type":64},"Add the lengths of all outside edges only. Ignore any interior edges created by splitting the shape.",{"name":70,"@type":61,"acceptedAnswer":71},"What steps are used in the step-by-step explanations?",{"text":72,"@type":64},"Read the problem, choose the matching rule, write the setup (such as multiplying dimensions or forming subtraction/addition), then simplify one step at a time to reach the final answer.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},274600,1789479943,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":124},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Practice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nArea and Perimeter of Composite Figures  \n\n| Name:   | D | ate:   | S | core:   / 30 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nA composite 􀀂gure is made of simpler shapes. Split it into rectangles and triangles, 􀀂nd each area, then add them – or subtract a cut-out piece. For perimeter, add the lengths of all the outside edges.  \n▷ Example: An L-shape is a 6 􀀂 4 rectangle with a 2 􀀂 2 square removed from a corner. Find its area. Work: Big rectangle = 6 􀀂 4 = 24. Removed square = 2 􀀂 2 = 4 . Subtract: 24 􀀀 4. ⋆ Answer: 20  \nSplit into rectangles, then add.  \n♦ Word Problems  \n15. A patio is an 8 􀀂 5 rectangle with a 2 􀀂 2 planter removed. Find the patio’s area.  \n16. An L-shaped room is a 6 􀀂 4 rectangle plus a 4 􀀂 3 rectangle. Find its total area.  \n17. A 􀀂gure is a 10 􀀂 6 rectangle minus a 4 􀀂 3 cut-out. Find its area.  \n18. A sign is a 5 􀀂 4 rectangle with a triangle (b = 5, h = 2) on top. Find its total area.  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n♦ Illustrated Practice  \nSplit each picture into simple shapes. Add areas, or subtract cut-outs.  \n3 􀀂 2 cut  \n6 ft  \n19. Find the patio area.  \n8  \n8 􀀂 4  \n12  \n21. Find the frame area.  \n4 􀀂 5  \n22. Use the dashed line to split the L-shape into two rectangles. Find the total area.  \n6  \n23. Find the house-front area.  \n26. Each stair layer is 2 units high. The layer widths are 9 , 6 , and 3. Find the area.  \n27. The rectangle is 8 􀀂 3. Each triangular tail has b = 3 and h = 2 . Find the total area.  \n4 􀀂 6  \n29. Find the area of the T-shape.  \n10 􀀂 2  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n2  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \nAnswer Keys  \n [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1. 18 11. 20 21. 64  \n2. 24 12. 24 22. 47  \n3. 32 13. 28 23. 80  \n4. 22 14. 25 24. 31  \n5. 32 15. 36 25. 36  \n6. 34 16. 36 26. 36  \n7. 27 17. 48 27. 30  \n8. 35 18. 25 28. 72  \n9. 30 19. 42 29. 44  \n10. 36 20. ","cbCaieHaWEAg9Q6k","https://ap.wps.com/l/cbCaieHaWEAg9Q6k","pdf",286439,"English","# Quick Review and Helpful Hints\n## Word Problems\n## Illustrated Practice\n# Answer Keys\n# Step-by-Step Explanations","[{\"question\":\"How do you find the area of a composite figure?\",\"answer\":\"Split the composite figure into simpler shapes like rectangles and triangles. Add the areas of the included parts, or subtract any cut-out parts, then combine the results.\"},{\"question\":\"How do you find the perimeter of a composite figure?\",\"answer\":\"Add the lengths of all outside edges only. Ignore any interior edges created by splitting the shape.\"},{\"question\":\"What steps are used in the step-by-step explanations?\",\"answer\":\"Read the problem, choose the matching rule, write the setup (such as multiplying dimensions or forming subtraction/addition), then simplify one step at a time to reach the final answer.\"}]","Area and Perimeter of Composite Figures - Exam practice | PDF"]