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Multiple-choice answers are included for four labeled problems, with a separate answer key listing the correct areas for each case. Suitable for classroom use and assessment of area-of-trapezoid reasoning.",{"@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-each-trapezoid-into-a-rectangle-and-two-triangles-to-find-its-area/468447/",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-each-trapezoid-into-a-rectangle-and-two-triangles-to-find-its-area/468447.png","ImageObject",300,407,{"name":42,"@type":43},"Miles","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","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 a trapezoid’s area by decomposing it?","Question",{"text":63,"@type":64},"Cut the trapezoid into a rectangle and two triangles, then add the areas of those three shapes.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What information is given for each problem?",{"text":68,"@type":64},"Each problem lists the trapezoid’s measurements, including the height and the triangle widths (left and right), plus the bases, to compute the rectangle and triangle areas.",{"name":70,"@type":61,"acceptedAnswer":71},"Are the answers provided as choices?",{"text":72,"@type":64},"Yes. Each question includes multiple-choice options, and the answer key provides the correct area for problems 1 through 4.","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},468447,1792856363,{"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) 8 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 7 ft. The left triangle is 5 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 112 ft²\u003Cbr>B. 168 ft²\u003Cbr>C. 56 ft²\u003Cbr>D. 84 ft² | 2) 8 cm\u003Cbr>\u003Cbr>19 cm\u003Cbr>The height is 4 cm. The left triangle is 7 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 76 cm²\u003Cbr>B. 32 cm²\u003Cbr>C. 108 cm²\u003Cbr>D. 54 cm² |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 3) 8 m\u003Cbr>\u003Cbr>21 m\u003Cbr>The height is 6 m. The left triangle is 6 m wide and the right triangle is 7 m wide.\u003Cbr>A. 48 m²\u003Cbr>B. 87 m²\u003Cbr>C. 126 m²\u003Cbr>D. 174 m² | 4) 10 in\u003Cbr>\u003Cbr>18 in\u003Cbr>The height is 10 in. The left triangle is 6 in wide and the right triangle is 2 in wide.\u003Cbr>A. 180 in²\u003Cbr>B. 100 in²\u003Cbr>C. 140 in²\u003Cbr>D. 280 in² |  |  |  |  |  |  |\n|  |  | 1-4 |  | 75 | 50 | 25 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \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.  84 ft²  2.  54 cm²  3.  87 m²  4.  140 in²  |\n| --- | --- | --- |\n| 1) 8 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 7 ft. The left triangle is 5 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 112 ft²\u003Cbr>B. 168 ft²\u003Cbr>C. 56 ft²\u003Cbr>D. 84 ft² | 2) 8 cm\u003Cbr>\u003Cbr>19 cm\u003Cbr>The height is 4 cm. The left triangle is 7 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 76 cm²\u003Cbr>B. 32 cm²\u003Cbr>C. 108 cm²\u003Cbr>D. 54 cm² |  |\n| 3) 8 m\u003Cbr>\u003Cbr>21 m\u003Cbr>The height is 6 m. The left triangle is 6 m wide and the right triangle is 7 m wide.\u003Cbr>A. 48 m²\u003Cbr>B. 87 m²\u003Cbr>C. 126 m²\u003Cbr>D. 174 m² | 4) 10 in\u003Cbr>\u003Cbr>18 in\u003Cbr>The height is 10 in. The left triangle is 6 in wide and the right triangle is 2 in wide.\u003Cbr>A. 180 in²\u003Cbr>B. 100 in²\u003Cbr>C. 140 in²\u003Cbr>D. 280 in² |  |\n\nMath  \nSeed: 20283817-1359  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-4 75 50 25 0  \nFinding 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) 8 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The height is 7 ft. The left triangle is 5 ft wide and the right triangle is 3 ft wide.\u003Cbr>A. 112 ft²\u003Cbr>B. 168 ft²\u003Cbr>C. 56 ft²\u003Cbr>D. 84 ft²\u003Cbr>2) 8 cm\u003Cbr>\u003Cbr>19 cm\u003Cbr>The height is 4 cm. The left triangle is 7 cm wide and the right triangle is 4 cm wide.\u003Cbr>A. 76 cm²\u003Cbr>B. 32 cm²\u003Cbr>C. 108 cm²\u003Cbr>D. 54 cm²\u003Cbr>3) 8 m\u003Cbr>\u003Cbr>21 m\u003Cbr>The height is 6 m. The left triangle is 6 m wide and the right triangle is 7 m wide.\u003Cbr>A. 48 m²\u003Cbr>B. 87 m²\u003Cbr>C. 126 m²\u003Cbr>D. 174 m²\u003Cbr>4) 10 in\u003Cbr>\u003Cbr>18 in\u003Cbr>The height is 10 in. The left triangle is 6 in wide and the right triangle is 2 in wide.\u003Cbr>A. 180 in²\u003Cbr>B. 100 in² | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-4  \n75  \n\n|  | 50 | 25 | 0 |\n| --- | --- | --- | --- |","cbCaii8PeposToA8","https://ap.wps.com/l/cbCaii8PeposToA8","pdf",42976,"English","# Problem Set\n## Four Trapezoid Area Questions\n## Answer Key","[{\"question\":\"How do you find a trapezoid’s area by decomposing it?\",\"answer\":\"Cut the trapezoid into a rectangle and two triangles, then add the areas of those three shapes.\"},{\"question\":\"What information is given for each problem?\",\"answer\":\"Each problem lists the trapezoid’s measurements, including the height and the triangle widths (left and right), plus the bases, to compute the rectangle and triangle areas.\"},{\"question\":\"Are the answers provided as choices?\",\"answer\":\"Yes. Each question includes multiple-choice options, and the answer key provides the correct area for problems 1 through 4.\"}]","Finding the Area of a Trapezoid by Decomposing - Cut Each Trapezoid into a Rectangle and Two Triangles to Find Its Area | PDF",1790774243]