[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-468441-105":59,"doc-detail-468441-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","","Practice and answer key for finding the area of trapezoids by decomposing them into a central rectangle and two triangles. Four problems are presented with side lengths and triangle widths, then multiple-choice options require selecting the correct area measurement. The worksheet covers both customary units and metric units, including inches, centimeters, and feet, using given heights and triangle base widths to compute areas.",{"@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/468441/",{"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/468441.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"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 using decomposition?","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 needed for each trapezoid problem?",{"text":117,"@type":113},"Each problem provides base lengths (or widths) of the triangles and the height, which are used to calculate rectangle and triangle areas.",{"name":119,"@type":110,"acceptedAnswer":120},"Are the answers presented in multiple-choice format?",{"text":121,"@type":113},"Yes. Each problem lists several answer choices, and the answer key provides the correct selections.","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},468441,1792877751,{"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":39,"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) 9 in\u003Cbr>\u003Cbr>16 in\u003Cbr>The height is 6 in. The left triangle is 2 in wide and the right triangle is 5 in wide.\u003Cbr>A. 75 in²\u003Cbr>B. 54 in²\u003Cbr>C. 96 in²\u003Cbr>D. 150 in² | 2) 5 cm\u003Cbr>\u003Cbr>18 cm\u003Cbr>The height is 10 cm. The left triangle is 6 cm wide and the right triangle is 7 cm wide.\u003Cbr>A. 50 cm²\u003Cbr>B. 180 cm²\u003Cbr>C. 115 cm²\u003Cbr>D. 230 cm² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 3) 8 ft\u003Cbr>\u003Cbr>20 ft\u003Cbr>The height is 9 ft. The left triangle is 5 ft wide and the right triangle is 7 ft wide.\u003Cbr>A. 252 ft²\u003Cbr>B. 180 ft²\u003Cbr>C. 72 ft²\u003Cbr>D. 126 ft² | 4) 8 in\u003Cbr>\u003Cbr>21 in\u003Cbr>The height is 10 in. The left triangle is 7 in wide and the right triangle is 6 in wide.\u003Cbr>A. 290 in²\u003Cbr>B. 80 in²\u003Cbr>C. 145 in²\u003Cbr>D. 210 in² |  |  |  |  |  |  |\n|  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 10)[ 10](www.CommonCoreSheets.com 10)  \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.  75 in²  2.  115 cm²  3.  126 ft²  4.  145 in²  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1) 9 in\u003Cbr>\u003Cbr>16 in\u003Cbr>The height is 6 in. The left triangle is 2 in wide and the right triangle is 5 in wide.\u003Cbr>A. 75 in²\u003Cbr>B. 54 in²\u003Cbr>C. 96 in²\u003Cbr>D. 150 in² | 2) 5 cm\u003Cbr>\u003Cbr>18 cm\u003Cbr>The height is 10 cm. The left triangle is 6 cm wide and the right triangle is 7 cm wide.\u003Cbr>A. 50 cm²\u003Cbr>B. 180 cm²\u003Cbr>C. 115 cm²\u003Cbr>D. 230 cm² |  |  |  |  |  |\n| 3) 8 ft\u003Cbr>\u003Cbr>20 ft\u003Cbr>The height is 9 ft. The left triangle is 5 ft wide and the right triangle is 7 ft wide.\u003Cbr>A. 252 ft²\u003Cbr>B. 180 ft²\u003Cbr>C. 72 ft²\u003Cbr>D. 126 ft² | 4) 8 in\u003Cbr>\u003Cbr>21 in\u003Cbr>The height is 10 in. The left triangle is 7 in wide and the right triangle is 6 in wide.\u003Cbr>A. 290 in²\u003Cbr>B. 80 in²\u003Cbr>C. 145 in²\u003Cbr>D. 210 in² |  |  |  |  |  |\n|  |  | 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 10)[ 10](www.CommonCoreSheets.com 10)  \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) 9 in\u003Cbr>\u003Cbr>16 in\u003Cbr>The height is 6 in. The left triangle is 2 in wide and the right triangle is 5 in wide.\u003Cbr>A. 75 in²\u003Cbr>B. 54 in²\u003Cbr>C. 96 in²\u003Cbr>D. 150 in²\u003Cbr>2) 5 cm\u003Cbr>\u003Cbr>18 cm\u003Cbr>The height is 10 cm. The left triangle is 6 cm wide and the right triangle is 7 cm wide.\u003Cbr>A. 50 cm²\u003Cbr>B. 180 cm²\u003Cbr>C. 115 cm²\u003Cbr>D. 230 cm²\u003Cbr>3) 8 ft\u003Cbr>\u003Cbr>20 ft\u003Cbr>The height is 9 ft. The left triangle is 5 ft wide and the right triangle is 7 ft wide.\u003Cbr>A. 252 ft²\u003Cbr>B. 180 ft²\u003Cbr>C. 72 ft²\u003Cbr>D. 126 ft²\u003Cbr>4) 8 in\u003Cbr>| 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\n21 in  \nThe height is 10 in. The left triangle is 7 in wide and the right triangle is 6 in wide Math www. CoMommi[eSheets.com](eSheets.com 10)[ 10](eSheets.com 10)  \n1-4  \n\n| 75 | 50 | 25 | 0 |\n| --- | --- | --- | --- |","cbCaihkmPNK5ZrIg","https://ap.wps.com/l/cbCaihkmPNK5ZrIg","pdf",43015,"English","# Problems\n## Problem 1\n## Problem 2\n## Problem 3\n## Problem 4","[{\"question\":\"How do you find the area of a trapezoid using decomposition?\",\"answer\":\"Cut the trapezoid into a rectangle and two triangles, then add the areas of the three parts.\"},{\"question\":\"What information is needed for each trapezoid problem?\",\"answer\":\"Each problem provides base lengths (or widths) of the triangles and the height, which are used to calculate rectangle and triangle areas.\"},{\"question\":\"Are the answers presented in multiple-choice format?\",\"answer\":\"Yes. Each problem lists several answer choices, and the answer key provides the correct selections.\"}]","Finding the Area of a Trapezoid by Decomposing - Answer Key | PDF",1790774233]