[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-362047-105":59,"doc-detail-362047-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","area-of-composite-figures-word-problems-b","Area of Composite Figures - Word Problems (B)","","Practice set for solving area problems involving composite figures. Students learn to decompose shapes into familiar rectangles and triangles, then add or subtract component areas as parts are included or removed. The worksheet covers real-world contexts such as a T-shaped deck, a rectangular garden with a triangular bed, an L-shaped kitchen floor, and several geometry layouts including cutouts and removed regions. An additional challenge requires trapezoid-area computation with a removed barn rectangle and pond triangle, with an answer key for verification.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/area-of-composite-figures-word-problems-b/362047/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/area-of-composite-figures-word-problems-b/362047.png","ImageObject",300,407,{"name":92,"@type":93},"McGucket","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What strategy should be used to find areas of composite figures on this worksheet?","Question",{"text":113,"@type":114},"Decompose each figure into familiar shapes. Add areas together or subtract if a piece is removed, and show work for each part.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you compute the area for shapes that include both rectangles and triangles?",{"text":118,"@type":114},"Find each part’s area separately (using rectangle area and triangle area formulas), then combine them by addition or subtraction depending on whether the part is included or removed.",{"name":120,"@type":111,"acceptedAnswer":121},"What does the challenge problem require after finding the trapezoid’s total area?",{"text":122,"@type":114},"It asks for the usable field area after removing a rectangular barn area and a triangular pond from the trapezoid field.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},362047,1790448883,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},1236954412713,"https://us-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Name:  \n______________________________________  \nArea of Composite Figures—Word Problems (B)  \nRemember: Decompose each figure into familiar shapes. Add areas together, or subtract if a piece is removed. Show your work for each part.  \nDirections: Set up and solve each problem. Show your work. Include units in your answer.  \n1.) A deck is built in a T-shape. Find the total area of the deck using the diagram.  \n2.) A garden is shaped like a rectangle (25 m × 14 m) with a triangular flower bed (base=25 m, height=9 m) added along one side.  \nDraw your own diagram, then find total area of the garden.  \n3.) A kitchen floor is L-shaped. One section is 15 feet by 11 feet and the other is 8 feet by 7 feet. What is  \nthe total area of the kitchen floor?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n4.) A swimming lane marker is made of a rectangle with a parallelogram attached, as shown. Find the totalarea.  \n5.) A rectangular bulletin board (48 in × 32 in) has a rectangular cork section (16 in × 12 in) cut from one corner. What is the remaining area?  \n6.) A gingerbread house template has the shape shown. Find the total area of the template.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n7.) A stained glass window is a rectangle (20 cm × 30 cm) with a triangular piece removed from the top (base=20 cm, height=12 cm) .  \nWhat is the remaining area?  \n8.) A cross-shaped figure is made of five identical squares, each with a side length of 6 inches. Draw your own diagram, then find the total area of the cross.  \nChallenge Problem  \n9.) A farmer’s field is shaped like a large trapezoid (parallel sides: 80 m and 120 m, height: 60 m) with a rectangular barn area (20 m × 15 m) and a triangular pond (base=30 m, h=20 m) removed from it.  \na) Find the total area of the trapezoid field.  \nb) Find the usable field area after removing the barn and pond.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) A₁=18×4=72; A₂=6×10=60; 72+60 132 ft²  \n2.) A□=25×14=350; A△=½×25×9=112 .5; 350+112 .5 462.5 m²  \n3.) A₁=15×11=165; A₂=8×7=56; 165+56 221 ft²  \n4.) A□=8×5=40; A∥=6×5=30; 40+30 70 m²  \n5.) A=48×32=1536; A₂=16×12=192; 1536−192 1344 in²  \n6.) A□=14×10=140; A△=½×14×7=49; 140+49 189 cm²  \n7.) A□=20×30=600; A△=½×20×12=120; 600−120 480 cm²  \n8.) 5×(6×6)=5×36 180 in²  \nChallenge:  \na) A▭=½(80+120)×60=½(200)×60 = 6000 m²  \nb) A□=20×15=300; A△=½×30×20=300; 6000−300−300 = 5400 m²  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaiiFIGROnsXDO","https://ap.wps.com/l/cbCaiiFIGROnsXDO","pdf",5493099,"English","# Area of Composite Figures—Word Problems (B)\n## Standard Problems 1-8\n## Challenge Problem 9","[{\"question\":\"What strategy should be used to find areas of composite figures on this worksheet?\",\"answer\":\"Decompose each figure into familiar shapes. Add areas together or subtract if a piece is removed, and show work for each part.\"},{\"question\":\"How do you compute the area for shapes that include both rectangles and triangles?\",\"answer\":\"Find each part’s area separately (using rectangle area and triangle area formulas), then combine them by addition or subtraction depending on whether the part is included or removed.\"},{\"question\":\"What does the challenge problem require after finding the trapezoid’s total area?\",\"answer\":\"It asks for the usable field area after removing a rectangular barn area and a triangular pond from the trapezoid field.\"}]","Area of Composite Figures - Word Problems (B) | PDF",1790146341]