[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-468453-105":59,"doc-detail-468453-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-answers","Finding the Area of a Trapezoid by Decomposing - Answers","","Practice problems and an answer key for finding the area of a trapezoid by decomposing it into a rectangle and two triangles. Four items are provided with given base lengths and heights in inches, meters, and centimeters. Each problem specifies the widths of the left and right triangles after cutting, then asks for the trapezoid’s area by selecting the correct multiple-choice value. Dimensions and units accompany every choice.",{"@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-answers/468453/",{"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-answers/468453.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":24},"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 those three parts to get the total area.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What information is given for each problem?",{"text":117,"@type":113},"Each problem provides side lengths and the height of the trapezoid, along with the widths of the left and right triangles created by the cut.",{"name":119,"@type":110,"acceptedAnswer":120},"What units are used in the problems?",{"text":121,"@type":113},"Problems use inches (in²), meters (m²), and centimeters (cm²), and the answer choices match the corresponding unit for each item.","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},468453,1792877749,{"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":24,"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) 6 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 10 in. The left triangle is 6 in wide and the right triangle is 3 in wide.\u003Cbr>A. 105 in²\u003Cbr>B. 60 in²\u003Cbr>C. 210 in²\u003Cbr>D. 150 in² |  | 2) 9 in\u003Cbr>\u003Cbr>16 in\u003Cbr>The height is 10 in. The left triangle is 4 in wide and the right triangle is 3 in wide.\u003Cbr>A. 125 in²\u003Cbr>B. 160 in²\u003Cbr>C. 250 in²\u003Cbr>D. 90 in² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 3) 6 m\u003Cbr>\u003Cbr>17 m\u003Cbr>The height is 6 m. The left triangle is 5 m wide and the right triangle is 6 m wide.\u003Cbr>A. 102 m²\u003Cbr>B. 138 m²\u003Cbr>C. 69 m²\u003Cbr>D. 36 m² | 4) 10 cm\u003Cbr>\u003Cbr>19 cm\u003Cbr>The height is 8 cm. The left triangle is 7 cm wide and the right triangle is 2 cm wide.\u003Cbr>A. 152 cm²\u003Cbr>B. 80 cm²\u003Cbr>C. 232 cm²\u003Cbr>D. 116 cm² |  |  |  |  |  |  |  |\n|  |  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 7)[ 7](www.CommonCoreSheets.com 7)  \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.  105 in²  2.  125 in²  3.  69 m²  4.  116 cm²  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 6 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 10 in. The left triangle is 6 in wide and the right triangle is 3 in wide.\u003Cbr>A. 105 in²\u003Cbr>B. 60 in²\u003Cbr>C. 210 in²\u003Cbr>D. 150 in² |  | 2) 9 in\u003Cbr>\u003Cbr>16 in\u003Cbr>The height is 10 in. The left triangle is 4 in wide and the right triangle is 3 in wide.\u003Cbr>A. 125 in²\u003Cbr>B. 160 in²\u003Cbr>C. 250 in²\u003Cbr>D. 90 in² |  |  |  |  |  |\n| 3) 6 m\u003Cbr>\u003Cbr>17 m\u003Cbr>The height is 6 m. The left triangle is 5 m wide and the right triangle is 6 m wide.\u003Cbr>A. 102 m²\u003Cbr>B. 138 m²\u003Cbr>C. 69 m²\u003Cbr>D. 36 m² | 4) 10 cm\u003Cbr>\u003Cbr>19 cm\u003Cbr>The height is 8 cm. The left triangle is 7 cm wide and the right triangle is 2 cm wide.\u003Cbr>A. 152 cm²\u003Cbr>B. 80 cm²\u003Cbr>C. 232 cm²\u003Cbr>D. 116 cm² |  |  |  |  |  |  |\n|  |  |  | 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 7)[ 7](www.CommonCoreSheets.com 7)  \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) 6 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 10 in. The left triangle is 6 in wide and the right triangle is 3 in wide.\u003Cbr>A. 105 in²\u003Cbr>B. 60 in²\u003Cbr>C. 210 in²\u003Cbr>D. 150 in²\u003Cbr>2) 9 in\u003Cbr>\u003Cbr>16 in\u003Cbr>The height is 10 in. The left triangle is 4 in wide and the right triangle is 3 in wide.\u003Cbr>A. 125 in²\u003Cbr>B. 160 in²\u003Cbr>C. 250 in²\u003Cbr>D. 90 in²\u003Cbr>3) 6 m\u003Cbr>\u003Cbr>17 m\u003Cbr>The height is 6 m. The left triangle is 5 m wide and the right triangle is 6 m wide.\u003Cbr>A. 102 m²\u003Cbr>B. 138 m²\u003Cbr>C. 69 m²\u003Cbr>D. 36 m²\u003Cbr>4) 10 cm\u003Cbr>\u003Cbr>19 cm | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n1-4  \n\n| 75 | 50 | 25 | 0 |\n| --- | --- | --- | --- |","cbCaimLEd3LzVKlf","https://ap.wps.com/l/cbCaimLEd3LzVKlf","pdf",42983,"English","# Finding the Area of a Trapezoid by Decomposing\n## Answer Key\n## Problems 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 those three parts to get the total area.\"},{\"question\":\"What information is given for each problem?\",\"answer\":\"Each problem provides side lengths and the height of the trapezoid, along with the widths of the left and right triangles created by the cut.\"},{\"question\":\"What units are used in the problems?\",\"answer\":\"Problems use inches (in²), meters (m²), and centimeters (cm²), and the answer choices match the corresponding unit for each item.\"}]","Finding the Area of a Trapezoid by Decomposing - Answers | PDF",1790774256]