[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-detail-358663-en":59,"doc-seo-358663-105":80},{"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":5,"data":60},{"doc_id":61,"user_id":62,"nickname":63,"user_avatar":64,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":66,"doc_content":67,"file_id":68,"file_url":69,"file_type":70,"file_size":71,"view_count":72,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":73,"language_code":74,"site_id":75,"html_lang":74,"table_of_contents":76,"faqs":77,"seo_title":78,"seo_description":66,"update_tm":79,"read_time":52,"preview_page_count":4},358663,1374391974585,"Genevieve","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Area of Composite Figures - Word Problems (A)","Word problems for calculating areas of composite figures using decomposition into familiar shapes. Problems cover rectangles, triangles, trapezoids, L-shaped regions, and figures with removed parts such as triangular sections, fountains, and a semicircular arch. A challenge section combines large rectangles with a triangular garden addition and a central rectangular subtraction. Directions emphasize setting up each problem, showing work, and including units, with an answer key provided for checking results.","Name:  \n______________________________________  \nArea of Composite Figures—Word Problems (A)  \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 house-shaped figure has a rectangular base that is 12 feet wide and 8 feet tall. A triangular roof sits ontop with the same base and a height of 5 feet. What is the total area of the figure?  \n2.) A city park is L-shaped. One section measures 40 meters by 15 meters and the other measures 20 meters by 10 meters. What is the total area of the park?  \n3.) A trapezoidal patio has parallel sides of 18 feet and 26 feet and a height of 12 feet. A rectangular fountain in the center measures 6 feet by 4 feet. What is the area of the patio around the fountain?  \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 floor plan shows an L-shaped room. Find the total area of the room using the diagram.  \n5.) A rectangular swimming pool measures 30 meters by 12 meters. A triangular shallow section at one end (base = 30 m, height = 8 m) is not being tiled.  \nDraw your own diagram and determine the area of the pool that needs tiling.  \n6.) A bracket is shaped like a rectangle with a triangle on top, as shown. Find the total area of the bracket.  \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 wall mural covers a rectangle 14 feet wide and 9 feet tall, with a semicircular arch removed from the top center (diameter = 6 ft) . Using 3.14 for π, what is the remaining area of the mural?  \n8.) A decorative tile is made of a square with side length 10 cm and four identical right triangles attached to each side, each with a base of 10 cm and a height of 4 cm.  \nDraw your own diagram and determine the area of the tile.  \nChallenge Problem  \n9.) A community plaza is shaped like a large rectangle (60 m × 45 m) with a triangular garden (base=60 m, h=20 m) at one end and a rectangular fountain area (12 m × 8 m) removed from the center.  \na) Find the total area of the plaza before the fountain is removed.  \nb) Find the area of the plaza after the fountain area is removed.  \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.) A□=12×8=96; A△=½×12×5=30; 96+30 126 ft²  \n2.) A₁=40×15=600; A₂=20×10=200; 600+200 800 m²  \n3.) A▭=½(18+26)×12=264; A□=6×4=24; 264−24 240 ft²  \n4.) A₁=16×5=80; A₂=7×9=63; 80+63 143 ft²  \n5.) A□=30×12=360; A△=½×30×8=120; 360−120 240 m²  \n6.) A□=10×4=40; A△=½×10×6=30; 40+30 70 cm²  \n7.) A□=14×9=126; A◖=½×3 . 14×3²≈14 . 13; 126−14 .13 111.87 ft²  \n8.) A□=10×10=100; 4×A△=4×(20)=80; 100+80 180 cm²  \nChallenge:  \na) A□=60×45=2700; A△=½×60×20=600; 2700+600 = 3300 m²  \nb) 3300 − (12×8) = 3300 − 96 = 3204 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)","cbCaia8t9IryESfo","https://ap.wps.com/l/cbCaia8t9IryESfo","pdf",6848040,12,"English","en",105,"# Area of Composite Figures - Word Problems (A)\n## Problems 1-8\n## Challenge Problem 9","[{\"question\":\"How do you find the area of composite figures in these problems?\",\"answer\":\"Decompose each figure into familiar shapes, then add the areas together or subtract the area of any removed part. Show your work for each section.\"},{\"question\":\"What units should be included in the answers?\",\"answer\":\"Each problem’s directions require including units in the answer. The answer key shows areas in ft², m², or cm² depending on the given measurements.\"},{\"question\":\"What is included in the challenge problem?\",\"answer\":\"The challenge problem has a large rectangle plaza, a triangular garden at one end, and a rectangular fountain area removed from the center, with parts (a) and (b) asking for the area before and after subtraction.\"}]","Area of Composite Figures - Word Problems (A) | PDF",1790134909,{"code":4,"msg":81,"data":82},"ok",{"site_id":75,"language":74,"slug":83,"title":65,"keywords":84,"description":66,"schema_data":85,"social_meta":139,"head_meta":141,"extra_data":143,"updated_unix":144},"area-of-composite-figures-word-problems-a","",{"@graph":86,"@context":138},[87,101,121],{"@type":88,"itemListElement":89},"BreadcrumbList",[90,94,96,99],{"item":91,"name":92,"@type":93,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":95,"name":9,"@type":93,"position":14},"https://docshare.wps.com/document/",{"item":97,"name":20,"@type":93,"position":98},"https://docshare.wps.com/document/exam/",3,{"item":100,"name":65,"@type":93,"position":19},"https://docshare.wps.com/document/area-of-composite-figures-word-problems-a/358663/",{"url":100,"name":65,"@type":102,"image":103,"author":108,"headline":65,"publisher":110,"fileFormat":113,"inLanguage":74,"description":66,"dateModified":114,"datePublished":115,"encodingFormat":113,"isAccessibleForFree":116,"interactionStatistic":117},"DigitalDocument",{"url":104,"@type":105,"width":106,"height":107},"https://docshare.wps.com/thumbnails/area-of-composite-figures-word-problems-a/358663.png","ImageObject",300,407,{"name":63,"@type":109},"Person",{"url":91,"name":111,"@type":112},"DocShare","Organization","application/pdf","2026-11-08","2026-09-23",true,{"@type":118,"interactionType":119,"userInteractionCount":72},"InteractionCounter",{"@type":120},"ViewAction",{"@type":122,"mainEntity":123},"FAQPage",[124,130,134],{"name":125,"@type":126,"acceptedAnswer":127},"How do you find the area of composite figures in these problems?","Question",{"text":128,"@type":129},"Decompose each figure into familiar shapes, then add the areas together or subtract the area of any removed part. Show your work for each section.","Answer",{"name":131,"@type":126,"acceptedAnswer":132},"What units should be included in the answers?",{"text":133,"@type":129},"Each problem’s directions require including units in the answer. The answer key shows areas in ft², m², or cm² depending on the given measurements.",{"name":135,"@type":126,"acceptedAnswer":136},"What is included in the challenge problem?",{"text":137,"@type":129},"The challenge problem has a large rectangle plaza, a triangular garden at one end, and a rectangular fountain area removed from the center, with parts (a) and (b) asking for the area before and after subtraction.","https://schema.org",{"og:url":100,"og:type":140,"og:title":65,"og:site_name":111,"og:description":66},"article",{"robots":142,"canonical":100},"index,follow",{"doc_id":61,"site_id":75},1790441917]