[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-468446-105":59,"doc-detail-468446-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 solutions for finding the area of a trapezoid by decomposing it into a rectangle and two triangles. Four problems use given base lengths and heights in both feet and centimeters, including triangle widths on the left and right sides. Each item provides multiple-choice options for the area in square units (ft² or cm²). The answer key lists the correct selections for problems 1 through 4, matching the computed areas after decomposition.",{"@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/468446/",{"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/468446.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",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},"How do you find the area of a trapezoid by decomposing it?","Question",{"text":112,"@type":113},"Cut the trapezoid into a rectangle and two triangles, then add the areas of the three parts to get the total area.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What measurements are needed for these trapezoid problems?",{"text":117,"@type":113},"Each problem gives the parallel base lengths and the height, plus the widths of the left and right triangles used in the decomposition.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the correct answers be found?",{"text":121,"@type":113},"The document includes an answer key that lists the correct area choices 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},468446,1792877749,{"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":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) 7 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 10 ft. The left triangle is 3 ft wide and the right triangle is 6 ft wide.\u003Cbr>A. 160 ft²\u003Cbr>B. 230 ft²\u003Cbr>C. 70 ft²\u003Cbr>D. 115 ft² | 2) 6 cm\u003Cbr>\u003Cbr>13 cm\u003Cbr>The height is 6 cm. The left triangle is 2 cm wide and the right triangle is 5 cm wide.\u003Cbr>A. 57 cm²\u003Cbr>B. 114 cm²\u003Cbr>C. 36 cm²\u003Cbr>D. 78 cm² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 3) 9 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 10 ft. The left triangle is 4 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 125 ft²\u003Cbr>B. 90 ft²\u003Cbr>C. 160 ft²\u003Cbr>D. 250 ft² | 4) 8 ft\u003Cbr>\u003Cbr>15 ft\u003Cbr>The height is 10 ft. The left triangle is 3 ft wide and the right triangle is 4 ft wide.\u003Cbr>A. 150 ft²\u003Cbr>B. 115 ft²\u003Cbr>C. 230 ft²\u003Cbr>D. 80 ft² |  |  |  |  |  |  |\n|  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 2)[ 2](www.CommonCoreSheets.com 2)  \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.  115 ft²  2.  57 cm²  3.  125 ft²  4.  115 ft²  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1) 7 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 10 ft. The left triangle is 3 ft wide and the right triangle is 6 ft wide.\u003Cbr>A. 160 ft²\u003Cbr>B. 230 ft²\u003Cbr>C. 70 ft²\u003Cbr>D. 115 ft² | 2) 6 cm\u003Cbr>\u003Cbr>13 cm\u003Cbr>The height is 6 cm. The left triangle is 2 cm wide and the right triangle is 5 cm wide.\u003Cbr>A. 57 cm²\u003Cbr>B. 114 cm²\u003Cbr>C. 36 cm²\u003Cbr>D. 78 cm² |  |  |  |  |  |\n| 3) 9 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 10 ft. The left triangle is 4 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 125 ft²\u003Cbr>B. 90 ft²\u003Cbr>C. 160 ft²\u003Cbr>D. 250 ft² | 4) 8 ft\u003Cbr>\u003Cbr>15 ft\u003Cbr>The height is 10 ft. The left triangle is 3 ft wide and the right triangle is 4 ft wide.\u003Cbr>A. 150 ft²\u003Cbr>B. 115 ft²\u003Cbr>C. 230 ft²\u003Cbr>D. 80 ft² |  |  |  |  |  |\n|  |  | 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 2)[ 2](www.CommonCoreSheets.com 2)  \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) 7 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 10 ft. The left triangle is 3 ft wide and the right triangle is 6 ft wide.\u003Cbr>A. 160 ft²\u003Cbr>B. 230 ft²\u003Cbr>C. 70 ft²\u003Cbr>D. 115 ft²\u003Cbr>2) 6 cm\u003Cbr>\u003Cbr>13 cm\u003Cbr>The height is 6 cm. The left triangle is 2 cm wide and the right triangle is 5 cm wide.\u003Cbr>A. 57 cm²\u003Cbr>B. 114 cm²\u003Cbr>C. 36 cm²\u003Cbr>D. 78 cm²\u003Cbr>3) 9 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 10 ft. The left triangle is 4 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 125 ft²\u003Cbr>B. 90 ft²\u003Cbr>C. 160 ft²\u003Cbr>D. 250 ft²\u003Cbr>4) 8 ft |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| Math | www.C | Modified\u003Cbr>[ommonCoreSheets.com](ommonCoreSheets.com) | 2 | 1-4 | 75 | 50 | 25 | 0 |\n|  |  |  |  |  |  |  |  |  |","cbCaihAm6zDUUwwc","https://ap.wps.com/l/cbCaihAm6zDUUwwc","pdf",42897,"English","# Finding the Area of a Trapezoid by Decomposing\n## Problem 1\n## Problem 2\n## Problem 3\n## Problem 4","[{\"question\":\"How do you find the area of a trapezoid by decomposing it?\",\"answer\":\"Cut the trapezoid into a rectangle and two triangles, then add the areas of the three parts to get the total area.\"},{\"question\":\"What measurements are needed for these trapezoid problems?\",\"answer\":\"Each problem gives the parallel base lengths and the height, plus the widths of the left and right triangles used in the decomposition.\"},{\"question\":\"Where can the correct answers be found?\",\"answer\":\"The document includes an answer key that lists the correct area choices for problems 1 through 4.\"}]","Finding the Area of a Trapezoid by Decomposing - Answer Key | PDF",1790774243]