[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-468449-105":59,"doc-detail-468449-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","finding-the-area-of-a-trapezoid-by-decomposing-answer-key","Finding the Area of a Trapezoid by Decomposing - Answer Key","","Worksheets and answer key for finding the area of trapezoids by decomposing each trapezoid into a rectangle and two triangles. Four problems provide trapezoid bases and height using mixed units (ft, cm, m), along with triangle widths. Multiple-choice options list candidate areas, and the answer key supplies the correct area for each item. The content supports area calculation using geometric partitioning and consistent triangle/rectangle area formulas.",{"@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/finding-the-area-of-a-trapezoid-by-decomposing-answer-key/468449/",{"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/finding-the-area-of-a-trapezoid-by-decomposing-answer-key/468449.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the area of a trapezoid in this worksheet?","Question",{"text":112,"@type":113},"Cut the trapezoid into a rectangle and two triangles, then add the areas of the three parts.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What information is given for each trapezoid problem?",{"text":117,"@type":113},"Each item provides the trapezoid dimensions such as the parallel sides (or bases), the height, and the widths of the left and right triangles.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can you find the correct results for the problems?",{"text":121,"@type":113},"The answer key lists the correct area values for problems 1 through 4.","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},468449,1792871487,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},13056703019404,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Finding the Area of a Trapezoid by Decomposing Name:  \n\n| Cut each trapezoid into a rectangle and two triangles to find its area. |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 8 ft\u003Cbr>\u003Cbr>14 ft\u003Cbr>The height is 4 ft. The left triangle is 4 ft wide and the right triangle is 2 ft wide.\u003Cbr>A. 56 ft²\u003Cbr>B. 44 ft²\u003Cbr>C. 88 ft²\u003Cbr>D. 32 ft² | 2) 6 cm\u003Cbr>\u003Cbr>16 cm\u003Cbr>The height is 4 cm. The left triangle is 7 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 24 cm²\u003Cbr>B. 88 cm²\u003Cbr>C. 64 cm²\u003Cbr>D. 44 cm² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 3) 4 m\u003Cbr>\u003Cbr>12 m\u003Cbr>The height is 7 m. The left triangle is 3 m wide and the right triangle is 5 m wide.\u003Cbr>A. 112 m²\u003Cbr>B. 28 m²\u003Cbr>C. 56 m²\u003Cbr>D. 84 m² | 4) 10 ft\u003Cbr>\u003Cbr>15 ft\u003Cbr>The height is 8 ft. The left triangle is 2 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 100 ft²\u003Cbr>B. 120 ft²\u003Cbr>C. 80 ft²\u003Cbr>D. 200 ft² |  |  |  |  |  |  |\n|  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 5)[ 5](www.CommonCoreSheets.com 5)  \nMath  \n Finding the Area of a Trapezoid by Decomposing Name: Answer Key  \n\n| Cut each trapezoid into a rectangle and two triangles to find its area. |  | Answers 1.  44 ft²  2.  44 cm²  3.  56 m²  4.  100 ft²  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1) 8 ft\u003Cbr>\u003Cbr>14 ft\u003Cbr>The height is 4 ft. The left triangle is 4 ft wide and the right triangle is 2 ft wide.\u003Cbr>A. 56 ft²\u003Cbr>B. 44 ft²\u003Cbr>C. 88 ft²\u003Cbr>D. 32 ft² | 2) 6 cm\u003Cbr>\u003Cbr>16 cm\u003Cbr>The height is 4 cm. The left triangle is 7 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 24 cm²\u003Cbr>B. 88 cm²\u003Cbr>C. 64 cm²\u003Cbr>D. 44 cm² |  |  |  |  |  |\n| 3) 4 m\u003Cbr>\u003Cbr>12 m\u003Cbr>The height is 7 m. The left triangle is 3 m wide and the right triangle is 5 m wide.\u003Cbr>A. 112 m²\u003Cbr>B. 28 m²\u003Cbr>C. 56 m²\u003Cbr>D. 84 m² | 4) 10 ft\u003Cbr>\u003Cbr>15 ft\u003Cbr>The height is 8 ft. The left triangle is 2 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 100 ft²\u003Cbr>B. 120 ft²\u003Cbr>C. 80 ft²\u003Cbr>D. 200 ft² |  |  |  |  |  |\n|  |  | 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 5)[ 5](www.CommonCoreSheets.com 5)  \nMath  \n Finding the Area of a Trapezoid by Decomposing Name:  \n\n| Cut each trapezoid into a rectangle and two triangles to find its area.\u003Cbr>1) 8 ft\u003Cbr>\u003Cbr>14 ft\u003Cbr>The height is 4 ft. The left triangle is 4 ft wide and the right triangle is 2 ft wide.\u003Cbr>A. 56 ft²\u003Cbr>B. 44 ft²\u003Cbr>C. 88 ft²\u003Cbr>D. 32 ft²\u003Cbr>2) 6 cm\u003Cbr>\u003Cbr>16 cm\u003Cbr>The height is 4 cm. The left triangle is 7 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 24 cm²\u003Cbr>B. 88 cm²\u003Cbr>C. 64 cm²\u003Cbr>D. 44 cm²\u003Cbr>3) 4 m\u003Cbr>\u003Cbr>12 m\u003Cbr>The height is 7 m. The left triangle is 3 m wide and the right triangle is 5 m wide.\u003Cbr>A. 112 m²\u003Cbr>B. 28 m²\u003Cbr>C. 56 m²\u003Cbr>D. 84 m²\u003Cbr>4) 10 ft\u003Cbr>\u003Cbr>15 ft\u003Cbr>The height is 8 ft. The left triangle is 2 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 100 ft² | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  | 1-4 |  | 75 | 50 | 25 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5","cbCaiiqe4i98wPNG","https://ap.wps.com/l/cbCaiiqe4i98wPNG","pdf",42945,"English","# Area of a Trapezoid by Decomposing\n## Directions and Method\n## Practice Problems (1-4)\n## Answer Key (1-4)","[{\"question\":\"How do you find the area of a trapezoid in this worksheet?\",\"answer\":\"Cut the trapezoid into a rectangle and two triangles, then add the areas of the three parts.\"},{\"question\":\"What information is given for each trapezoid problem?\",\"answer\":\"Each item provides the trapezoid dimensions such as the parallel sides (or bases), the height, and the widths of the left and right triangles.\"},{\"question\":\"Where can you find the correct results for the problems?\",\"answer\":\"The answer key lists the correct area values for problems 1 through 4.\"}]","Finding the Area of a Trapezoid by Decomposing - Answer Key | PDF",1790774245]