[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-468448-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-468448-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","finding-the-area-of-a-trapezoid-by-decomposing-cut-and-compute-areas","Finding the Area of a Trapezoid by Decomposing - Cut and compute areas","","Worksheet and answer key focused on finding the area of trapezoids by decomposing each figure into a rectangle and two triangles. Each problem provides side lengths and the trapezoid height, along with the widths of the left and right triangles. Students compute the total area by adding the rectangle area and both triangle areas, then select the correct option from multiple choices for units in cm² or in².",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/finding-the-area-of-a-trapezoid-by-decomposing-cut-and-compute-areas/468448/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/finding-the-area-of-a-trapezoid-by-decomposing-cut-and-compute-areas/468448.png","ImageObject",300,407,{"name":42,"@type":43},"Miles","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find the area of a trapezoid using decomposition?","Question",{"text":63,"@type":64},"Cut the trapezoid into a rectangle and two triangles. Compute each part’s area and add them to get the total area.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What measurements are given for each trapezoid problem?",{"text":68,"@type":64},"Each problem provides two parallel side lengths, the trapezoid height, and the widths of the left and right triangles.",{"name":70,"@type":61,"acceptedAnswer":71},"How are the answers presented in the worksheet?",{"text":72,"@type":64},"Each question includes multiple-choice options for the area, and an answer key lists the correct selected values.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},468448,1792856364,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},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 cm\u003Cbr>\u003Cbr>12 cm\u003Cbr>The height is 10 cm. The left triangle is 2 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 190 cm²\u003Cbr>B. 120 cm²\u003Cbr>C. 70 cm²\u003Cbr>D. 95 cm² |  | 2) 10 cm\u003Cbr>\u003Cbr>17 cm\u003Cbr>The height is 6 cm. The left triangle is 4 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 60 cm²\u003Cbr>B. 162 cm²\u003Cbr>C. 81 cm²\u003Cbr>D. 102 cm² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 3) 4 in\u003Cbr>\u003Cbr>13 in\u003Cbr>The height is 8 in. The left triangle is 3 in wide and the right triangle is 6 in wide.\u003Cbr>A. 104 in²\u003Cbr>B. 32 in²\u003Cbr>C. 68 in²\u003Cbr>D. 136 in² | 4) 5 cm\u003Cbr>\u003Cbr>14 cm\u003Cbr>The height is 4 cm. The left triangle is 5 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 38 cm²\u003Cbr>B. 20 cm²\u003Cbr>C. 76 cm²\u003Cbr>D. 56 cm² |  |  |  |  |  |  |  |\n|  |  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 3)[ 3](www.CommonCoreSheets.com 3)  \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.  95 cm²  2.  81 cm²  3.  68 in² \u003Cbr>4.  38 cm²  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 7 cm\u003Cbr>\u003Cbr>12 cm\u003Cbr>The height is 10 cm. The left triangle is 2 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 190 cm²\u003Cbr>B. 120 cm²\u003Cbr>C. 70 cm²\u003Cbr>D. 95 cm² |  | 2) 10 cm\u003Cbr>\u003Cbr>17 cm\u003Cbr>The height is 6 cm. The left triangle is 4 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 60 cm²\u003Cbr>B. 162 cm²\u003Cbr>C. 81 cm²\u003Cbr>D. 102 cm² |  |  |  |  |  |\n| 3) 4 in\u003Cbr>\u003Cbr>13 in\u003Cbr>The height is 8 in. The left triangle is 3 in wide and the right triangle is 6 in wide.\u003Cbr>A. 104 in²\u003Cbr>B. 32 in²\u003Cbr>C. 68 in²\u003Cbr>D. 136 in² | 4) 5 cm\u003Cbr>\u003Cbr>14 cm\u003Cbr>The height is 4 cm. The left triangle is 5 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 38 cm²\u003Cbr>B. 20 cm²\u003Cbr>C. 76 cm²\u003Cbr>D. 56 cm² |  |  |  |  |  |  |\n|  |  |  | 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 3)[ 3](www.CommonCoreSheets.com 3)  \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 cm\u003Cbr>\u003Cbr>12 cm\u003Cbr>The height is 10 cm. The left triangle is 2 cm wide and the right triangle is 3 cm wide.\u003Cbr>A. 190 cm²\u003Cbr>B. 120 cm²\u003Cbr>C. 70 cm²\u003Cbr>D. 95 cm²\u003Cbr>2) 10 cm\u003Cbr>\u003Cbr>17 cm\u003Cbr>The height is 6 cm. The left triangle is 4 cm wide and the right triangle is 3 cm wide\u003Cbr>A. 60 cm²\u003Cbr>B. 162 cm²\u003Cbr>C. 81 cm²\u003Cbr>D. 102 cm²\u003Cbr>3) 4 in\u003Cbr>\u003Cbr>13 in\u003Cbr>The height is 8 in. The left triangle is 3 in wide and the right triangle is 6 in wide.\u003Cbr>A. 104 in²\u003Cbr>B. 32 in²\u003Cbr>C. 68 in²\u003Cbr>D. 136 in²\u003Cbr>4) 5 cm\u003Cbr>\u003Cbr>. | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \n1-4  \n\n| 75 | 50 | 25 | 0 |\n| --- | --- | --- | --- |","cbCaiegzSSFitFB2","https://ap.wps.com/l/cbCaiegzSSFitFB2","pdf",42937,"English","# Finding the Area of a Trapezoid by Decomposing\n## Cut each trapezoid into a rectangle and two triangles\n## Problems 1-4 with multiple-choice answers","[{\"question\":\"How do you find the area of a trapezoid using decomposition?\",\"answer\":\"Cut the trapezoid into a rectangle and two triangles. Compute each part’s area and add them to get the total area.\"},{\"question\":\"What measurements are given for each trapezoid problem?\",\"answer\":\"Each problem provides two parallel side lengths, the trapezoid height, and the widths of the left and right triangles.\"},{\"question\":\"How are the answers presented in the worksheet?\",\"answer\":\"Each question includes multiple-choice options for the area, and an answer key lists the correct selected values.\"}]","Finding the Area of a Trapezoid by Decomposing - Cut and compute areas | PDF",1790774243]