[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360266-105":59,"doc-detail-360266-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","area-of-polygons-mixed-word-problems-b","Area of Polygons - Mixed Word Problems (B)","","Worksheet focused on solving composite-figure area problems set in a fairground context. It instructs students to decompose shapes into rectangles, triangles, and trapezoids, using formulas such as A = l × w, A = ½bh, and A = ½(b1+b2)h. Problems require adding and subtracting removed sections, including L-shaped and T-shaped layouts, and a challenge section with a carpet-cost calculation. An answer key with step-by-step solutions is included.",{"@graph":69,"@context":122},[70,84,105],{"@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-polygons-mixed-word-problems-b/360266/",{"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-polygons-mixed-word-problems-b/360266.png","ImageObject",300,407,{"name":92,"@type":93},"Angel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What formulas are used to find areas of the basic shapes in these problems?","Question",{"text":112,"@type":113},"Rectangles use A = l × w, triangles use A = ½bh, and trapezoids use A = ½(b1+b2)h. The worksheet also emphasizes decomposing composite figures into these shapes.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you handle composite figures that include missing parts?",{"text":117,"@type":113},"Compute the total area of the larger combined shapes and then subtract the areas of removed sections, such as triangular ramps or other cut-out regions.",{"name":119,"@type":110,"acceptedAnswer":120},"What extra work is required for the challenge problem?",{"text":121,"@type":113},"The challenge asks for the walkable L-shaped area after subtracting an interior square stand, and then calculates carpet cost using a given price per square foot.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},360266,1790270440,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},687207412472,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:    \nArea of Polygons—Mixed Word Problems ( B) THE FAIR  \nDirections: Solve each word problem. Show all of your work.  \nRemember: Composite figures: decompose into simpler shapes. Rectangles: A = l × w. Triangles: A = ½ bh.  \nTrapezoids: A = ½(b₁+b₂)h. Add pieces together—or subtract removed sections.  \n1. A fairground booth has a rectangular floor 15 ft wide and 10 ft long, plus a triangular awning with base  \n15 ft and height 6 ft. What is the combined area?  \nShow your work:  \n2. A fairground game area is L-shaped: the long section is 18 ft × 5 ft and the short section is 7 ft × 6 ft. What is the total area?  \nShow  \nyour work:  \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)  \n3. A fair ticket booth floor is a 10 ft × 8 ft rectangle with a triangular entrance ramp removed. The triangle has a base of 4 ft and a height of 8 ft. What is the remaining floor area?  \nShow your work:  \n4. A fairground food court has a trapezoidal main area with parallel sides 12 m and 20 m and height 9 m, plus a rectangular counter 5 m × 3 m. What is the total area?  \nShow your work:  \n5. A fairground stage is T-shaped: the top platform is 24 ft × 8 ft and the extended ramp is 10 ft × 12 ft. What is the total stage area?  \nShow  \nyour work:  \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)  \n6. A decorative fair banner is a 20 ft × 4 ft rectangle with three identical triangular flags below. Each triangle has a base of 4 ft and height of 3 ft. What is the total area?  \nShow  \nyour work:  \nChallenge Problem  \n7. A fair prize booth has an L-shaped floor: main section 12 ft × 9 ft, attached section 6 ft × 5 ft. Inside is a square display stand 3 ft × 3 ft.  \na. ) Draw your own diagram.  \nb. ) What is the walkable floor area?  \nc. ) If carpet costs $4 per sq ft, what is the carpet cost?  \nShow your work:  \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.) 1. ) Answer: 195 sq ft | Steps: Rect: 15 × 10 = 150 sq ft → Tri: ½ × 15 × 6 = 45 sq ft → Total: 150 +  \n45 = 195 sq ft  \n2.) 2. ) Answer: 132 sq ft | Steps: Long: 18 × 5 = 90 sq ft → Short: 7 × 6 = 42 sq ft → Total: 90 + 42 = 132 sq ft  \n3.) 3. ) Answer: 64 sq ft | Steps: Rect: 10 × 8 = 80 sq ft → Tri removed: ½ × 4 × 8 = 16 sq ft → Remaining: 80 − 16 = 64 sq ft  \n4.) 4. ) Answer: 159 sq m | Steps: Trap: ½ × (12 + 20) × 9 = 144 sq m → Rect: 5 × 3 = 15 sq m → Total:  \n144 + 15 = 159 sq m  \n5.) 5. ) Answer: 312 sq ft | Steps: Top: 24 × 8 = 192 sq ft → Ramp: 10 × 12 = 120 sq ft → Total: 192 +  \n120 = 312 sq ft  \n6.) 6. ) Answer: 98 sq ft | Steps: Rect: 20 × 4 = 80 sq ft → 3 triangles: 3 × (½ × 4 × 3) = 18 sq ft → Total:  \n80 + 18 = 98 sq ft  \n7.) 7 (Challenge) . )  \na. ) Walkable area = 129 sq ft  \nb. ) Carpet cost = $516  \nSteps: L-shape: 12×9 + 6×5 = 108 + 30 = 138 sq ft → Minus stand: 138 − 3×3 = 138 − 9 = 129 sq ft → Cost: 129 × $4 = $516  \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)","cbCaimBHmuTJG5i3","https://ap.wps.com/l/cbCaimBHmuTJG5i3","pdf",907372,"English","# Area Formulas & Decomposition Rules\n# Practice Problems (1-6)\n# Challenge Problem (7)","[{\"question\":\"What formulas are used to find areas of the basic shapes in these problems?\",\"answer\":\"Rectangles use A = l × w, triangles use A = ½bh, and trapezoids use A = ½(b1+b2)h. The worksheet also emphasizes decomposing composite figures into these shapes.\"},{\"question\":\"How do you handle composite figures that include missing parts?\",\"answer\":\"Compute the total area of the larger combined shapes and then subtract the areas of removed sections, such as triangular ramps or other cut-out regions.\"},{\"question\":\"What extra work is required for the challenge problem?\",\"answer\":\"The challenge asks for the walkable L-shaped area after subtracting an interior square stand, and then calculates carpet cost using a given price per square foot.\"}]","Area of Polygons - Mixed Word Problems (B) | PDF",1790139366]