[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-468438-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-468438-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-answer-key","Finding the Area of a Trapezoid by Decomposing - Answer Key","","Area calculation practice for trapezoids by decomposing the shape into a rectangle and two triangles. The material lists multiple trapezoid cases with given bases and height, then specifies the triangle widths used for decomposition. 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The worksheet includes problems with metric units (cm²) and others with customary units (in²), and the answer key matches those units.","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},468438,1792877751,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"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":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"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) 9 cm\u003Cbr>\u003Cbr>16 cm\u003Cbr>The height is 6 cm. The left triangle is 3 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 96 cm²\u003Cbr>B. 54 cm²\u003Cbr>C. 150 cm²\u003Cbr>D. 75 cm² | 2) 4 in\u003Cbr>\u003Cbr>12 in\u003Cbr>The height is 9 in. The left triangle is 5 in wide and the right triangle is 3 in wide.\u003Cbr>A. 144 in²\u003Cbr>B. 72 in²\u003Cbr>C. 36 in²\u003Cbr>D. 108 in² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 3) 10 in\u003Cbr>\u003Cbr>22 in\u003Cbr>The height is 5 in. The left triangle is 7 in wide and the right triangle is 5 in wide.\u003Cbr>A. 80 in²\u003Cbr>B. 160 in²\u003Cbr>C. 50 in²\u003Cbr>D. 110 in² | 4) 8 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 4 in. The left triangle is 3 in wide and the right triangle is 4 in wide.\u003Cbr>A. 32 in²\u003Cbr>B. 46 in²\u003Cbr>C. 60 in²\u003Cbr>D. 92 in² |  |  |  |  |  |  |\n|  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 1)[ 1](www.CommonCoreSheets.com 1)  \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.  75 cm² \u003Cbr>2.  72 in² \u003Cbr>3.  80 in² \u003Cbr>4.  46 in²  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| 1) 9 cm\u003Cbr>\u003Cbr>16 cm\u003Cbr>The height is 6 cm. The left triangle is 3 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 96 cm²\u003Cbr>B. 54 cm²\u003Cbr>C. 150 cm²\u003Cbr>D. 75 cm² | 2) 4 in\u003Cbr>\u003Cbr>12 in\u003Cbr>The height is 9 in. The left triangle is 5 in wide and the right triangle is 3 in wide.\u003Cbr>A. 144 in²\u003Cbr>B. 72 in²\u003Cbr>C. 36 in²\u003Cbr>D. 108 in² |  |  |  |  |  |\n| 3) 10 in\u003Cbr>\u003Cbr>22 in\u003Cbr>The height is 5 in. The left triangle is 7 in wide and the right triangle is 5 in wide.\u003Cbr>A. 80 in²\u003Cbr>B. 160 in²\u003Cbr>C. 50 in²\u003Cbr>D. 110 in² | 4) 8 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 4 in. The left triangle is 3 in wide and the right triangle is 4 in wide.\u003Cbr>A. 32 in²\u003Cbr>B. 46 in²\u003Cbr>C. 60 in²\u003Cbr>D. 92 in² |  |  |  |  |  |\n|  |  | 1-4 | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 1)[ 1](www.CommonCoreSheets.com 1)  \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 cm\u003Cbr>\u003Cbr>16 cm\u003Cbr>The height is 6 cm. The left triangle is 3 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 96 cm²\u003Cbr>B. 54 cm²\u003Cbr>C. 150 cm²\u003Cbr>D. 75 cm²\u003Cbr>2) 4 in\u003Cbr>\u003Cbr>12 in\u003Cbr>The height is 9 in. The left triangle is 5 in wide and the right triangle is 3 in wide.\u003Cbr>A. 144 in²\u003Cbr>B. 72 in²\u003Cbr>C. 36 in²\u003Cbr>D. 108 in²\u003Cbr>3) 10 in\u003Cbr>\u003Cbr>22 in\u003Cbr>The height is 5 in. The left triangle is 7 in wide and the right triangle is 5 in wide.\u003Cbr>A. 80 in²\u003Cbr>B. 160 in²\u003Cbr>C. 50 in²\u003Cbr>D. 110 in²\u003Cbr>4) 8 in\u003Cbr>\u003Cbr>15 in\u003Cbr>The height is 4 in. The left triangle is 3 in wide and the right triangle is 4 in wide.\u003Cbr>A. 32 in² | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nin²  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \n1-4  \n75  \n\n|  | 50 | 25 | 0 |\n| --- | --- | --- | --- |","cbCaist9GurE65uJ","https://ap.wps.com/l/cbCaist9GurE65uJ","pdf",42940,"English","# Finding the Area of a Trapezoid by Decomposing\n## Practice problems (1-4)\n## Answer key","[{\"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 those three parts.\"},{\"question\":\"What information is needed for each trapezoid problem?\",\"answer\":\"Each problem provides the trapezoid’s dimensions (including height) and the widths of the left and right triangles used after decomposing.\"},{\"question\":\"Are the answer options given in both cm² and in²?\",\"answer\":\"Yes. The worksheet includes problems with metric units (cm²) and others with customary units (in²), and the answer key matches those units.\"}]","Finding the Area of a Trapezoid by Decomposing - Answer Key | PDF",1790774231]