[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-468445-105":59,"doc-detail-468445-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","","Instructional answer key for finding the area of a trapezoid using decomposition. Each problem instructs cutting the trapezoid into a rectangle and two triangles, then using the given dimensions to compute area. The document lists four scenarios with different units (meters, feet, and inches), provides the height and the widths of the left and right triangles, and matches each to multiple-choice area options.",{"@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/468445/",{"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/468445.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"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 these problems?","Question",{"text":112,"@type":113},"Cut the trapezoid into a rectangle and two triangles, then compute each part’s area and combine them.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What measurements are given for each trapezoid?",{"text":117,"@type":113},"Each problem provides the height plus the widths of the left and right triangles, along with the trapezoid’s other dimensions.",{"name":119,"@type":110,"acceptedAnswer":120},"Are the problems in the answer key presented with different units?",{"text":121,"@type":113},"Yes. The set includes measurements in meters (m), feet (ft), and inches (in), with corresponding squared units for area.","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},468445,1792963915,{"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":29,"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) 5 m\u003Cbr>\u003Cbr>15 m\u003Cbr>The height is 10 m. The left triangle is 3 m wide and the right triangle is 7 m wide.\u003Cbr>A. 50 m²\u003Cbr>B. 200 m²\u003Cbr>C. 100 m²\u003Cbr>D. 150 m² |  | 2) 10 ft\u003Cbr>\u003Cbr>21 ft\u003Cbr>The height is 6 ft. The left triangle is 5 ft wide and the right triangle is 6 ft wide.\u003Cbr>A. 60 ft²\u003Cbr>B. 126 ft²\u003Cbr>C. 186 ft²\u003Cbr>D. 93 ft² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 3) 10 m\u003Cbr>\u003Cbr>16 m\u003Cbr>The height is 8 m. The left triangle is 2 m wide and the right triangle is 4 m wide.\u003Cbr>A. 104 m²\u003Cbr>B. 80 m²\u003Cbr>C. 208 m²\u003Cbr>D. 128 m² | 4) 9 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 10 in. The left triangle is 2 in wide and the right triangle is 4 in wide.\u003Cbr>A. 120 in²\u003Cbr>B. 150 in²\u003Cbr>C. 240 in²\u003Cbr>D. 90 in² |  |  |  |  |  |  |  |\n|  |  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 4)[ 4](www.CommonCoreSheets.com 4)  \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\u003Cbr>1.  100 m²  2.  93 ft²  3.  104 m²  4.  120 in²  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 5 m\u003Cbr>\u003Cbr>15 m\u003Cbr>The height is 10 m. The left triangle is 3 m wide and the right triangle is 7 m wide.\u003Cbr>A. 50 m²\u003Cbr>B. 200 m²\u003Cbr>C. 100 m²\u003Cbr>D. 150 m² |  | 2) 10 ft\u003Cbr>\u003Cbr>21 ft\u003Cbr>The height is 6 ft. The left triangle is 5 ft wide and the right triangle is 6 ft wide.\u003Cbr>A. 60 ft²\u003Cbr>B. 126 ft²\u003Cbr>C. 186 ft²\u003Cbr>D. 93 ft² |  |  |  |  |  |\n| 3) 10 m\u003Cbr>\u003Cbr>16 m\u003Cbr>The height is 8 m. The left triangle is 2 m wide and the right triangle is 4 m wide.\u003Cbr>A. 104 m²\u003Cbr>B. 80 m²\u003Cbr>C. 208 m²\u003Cbr>D. 128 m² | 4) 9 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 10 in. The left triangle is 2 in wide and the right triangle is 4 in wide.\u003Cbr>A. 120 in²\u003Cbr>B. 150 in²\u003Cbr>C. 240 in²\u003Cbr>D. 90 in² |  |  |  |  |  |  |\n|  |  |  | 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 4)[ 4](www.CommonCoreSheets.com 4)  \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) 5 m\u003Cbr>\u003Cbr>15 m\u003Cbr>The height is 10 m. The left triangle is 3 m wide and the right triangle is 7 m wide.\u003Cbr>A. 50 m²\u003Cbr>B. 200 m²\u003Cbr>C. 100 m²\u003Cbr>D. 150 m²\u003Cbr>2) 10 ft\u003Cbr>\u003Cbr>21 ft\u003Cbr>The height is 6 ft. The left triangle is 5 ft wide and the right triangle is 6 ft wide.\u003Cbr>A. 60 ft²\u003Cbr>B. 126 ft²\u003Cbr>C. 186 ft²\u003Cbr>D. 93 ft²\u003Cbr>3) 10 m\u003Cbr>\u003Cbr>16 m\u003Cbr>The height is 8 m. The left triangle is 2 m wide and the right triangle is 4 m wide.\u003Cbr>A. 104 m²\u003Cbr>B. 80 m²\u003Cbr>C. 208 m²\u003Cbr>D. 128 m²\u003Cbr>4) 9 in |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |\n| --- | --- | --- | --- |\n|  |  |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-4  \n\n| 75 | 50 | 25 | 0 |\n| --- | --- | --- | --- |","cbCairWselS7GZZ8","https://ap.wps.com/l/cbCairWselS7GZZ8","pdf",42948,"English","# Problems\n## Decomposing into a rectangle and two triangles\n## Multiple-choice answers","[{\"question\":\"How do you find the area of a trapezoid in these problems?\",\"answer\":\"Cut the trapezoid into a rectangle and two triangles, then compute each part’s area and combine them.\"},{\"question\":\"What measurements are given for each trapezoid?\",\"answer\":\"Each problem provides the height plus the widths of the left and right triangles, along with the trapezoid’s other dimensions.\"},{\"question\":\"Are the problems in the answer key presented with different units?\",\"answer\":\"Yes. The set includes measurements in meters (m), feet (ft), and inches (in), with corresponding squared units for area.\"}]","Finding the Area of a Trapezoid by Decomposing - Answer Key | PDF",1790774243]