[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360280-105":59,"doc-detail-360280-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-triangles-word-problems-b-solve-each-word-problem-answer-key-included","Area of Triangles Word Problems (B) - Solve Each Word Problem - Answer Key Included","","Area of Triangles Word Problems (B) provides step-by-step practice for calculating the area of triangles using the formula A = ½ × base × height. The worksheet guides students to apply the perpendicular height to the base, solve for missing base or height when needed, and show all work. It includes multiple real-world contexts such as canvas, fabric, a mosaic tile, and framed photo, plus a challenge problem requiring finding the base and total area for identical pieces.",{"@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-triangles-word-problems-b-solve-each-word-problem-answer-key-included/360280/",{"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-triangles-word-problems-b-solve-each-word-problem-answer-key-included/360280.png","ImageObject",300,407,{"name":92,"@type":93},"Angel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What formula does the worksheet use to calculate the area of a triangle?","Question",{"text":112,"@type":113},"It uses A = ½ × base × height, where the height is perpendicular to the base.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find a missing base or height in these problems?",{"text":117,"@type":113},"Substitute the known area and the given height (or base) into A = ½ × base × height, then solve for the missing measurement.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the base and total area in the challenge problem (Problem 7)?",{"text":121,"@type":113},"The base is 14 cm, and the total area of 6 identical pieces is 336 sq cm.","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},360280,1790719177,{"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":44,"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 Triangles Word Problems (B) THE ART STUDIO  \nDirections: Solve each word problem. Show all of your work.  \nRemember: Area of a triangle: A = ½ × base × height. The height is always perpendicular to the base. To find a  \nmissing base or height: plug in the area and solve.  \n1. A triangular canvas in an art studio has a base of 10 inches and a height of 6 inches. What is the area of the canvas?  \nShow your work:  \n2. An artist cuts a triangular piece of fabric with a base of 9 cm and a height of 14 cm. What is the area of the fabric?  \nShow your work:  \n3. A triangular paint palette section has a base of 16 cm and a height of 5 cm. Find its area.  \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)  \n4. A triangular mosaic tile has a base of 11 inches and a height of 12 inches. What is the area of the tile?  \nShow your work:  \n5. A studio wall has a triangular decorative section with a base of 18 feet and a height of 7 feet. What is the 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. An artist frames a triangular photograph with a base of 14 inches and a height of 10 inches. What is the area?  \nShow your work:  \nChallenge Problem  \n7. A triangular piece of stained glass has an area of 56 sq cm and a height of 8 cm. Draw your own diagram, then answer the following:  \na) What is the base?  \nb) The artist wants to make 6 identical pieces. What is the total area of all 6 pieces?  \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: 30 sq in | Steps: A = ½ × 10 × 6 = 30 sq in  \n2.) 2. ) Answer: 63 sq cm | Steps: A = ½ × 9 × 14 = 63 sq cm  \n3.) 3. ) Answer: 40 sq cm | Steps: A = ½ × 16 × 5 = 40 sq cm  \n4.) 4. ) Answer: 66 sq in | Steps: A = ½ × 11 × 12 = 66 sq in  \n5.) 5. ) Answer: 63 sq ft | Steps: A = ½ × 18 × 7 = 63 sq ft  \n6.) 6. ) Answer: 70 sq in | Steps: A = ½ × 14 × 10 = 70 sq in  \n7.) 7 (Challenge) . )  \na) Answer: Base = 14 cm  \nb) Total area = 336 sq cm  \nSteps: 56 = ½ × b × 8 → 56 = 4b → b = 14 cm → Total: 6 × 56 = 336 sq cm  \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)","cbCaisfbLINp7YXB","https://ap.wps.com/l/cbCaisfbLINp7YXB","pdf",3600241,"English","# Word Problems\n## Directions and Formula\n## Problems 1-6\n## Challenge Problem 7\n# Answer Key","[{\"question\":\"What formula does the worksheet use to calculate the area of a triangle?\",\"answer\":\"It uses A = ½ × base × height, where the height is perpendicular to the base.\"},{\"question\":\"How do you find a missing base or height in these problems?\",\"answer\":\"Substitute the known area and the given height (or base) into A = ½ × base × height, then solve for the missing measurement.\"},{\"question\":\"What is the base and total area in the challenge problem (Problem 7)?\",\"answer\":\"The base is 14 cm, and the total area of 6 identical pieces is 336 sq cm.\"}]","Area of Triangles Word Problems (B) - Solve Each Word Problem - Answer Key Included | PDF",1790139475]