[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-468417-105":59,"doc-detail-468417-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","rearranging-a-parallelogram-into-a-rectangle-answer-key-468417","Rearranging a Parallelogram into a Rectangle - Answer Key","","Rearranging a parallelogram into a rectangle activity demonstrates a geometric area relationship. A dashed cut splits the parallelogram into a triangle, which slides to the opposite side to form a rectangle. The worksheet provides multiple problems asking for missing side lengths and the area of the resulting rectangle in different units (inches, centimeters, meters, and feet). An answer key supplies the completed dimensions and computed areas for each numbered item.",{"@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/rearranging-a-parallelogram-into-a-rectangle-answer-key-468417/468417/",{"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/rearranging-a-parallelogram-into-a-rectangle-answer-key-468417/468417.png","ImageObject",300,407,{"name":92,"@type":93},"Miles","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How does the dashed cut help rearrange a parallelogram into a rectangle?","Question",{"text":112,"@type":113},"The dashed cut separates the parallelogram into a triangle and the remaining piece. The triangle can slide to the other end so the pieces form a rectangle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What information is needed to find the area of the new rectangle?",{"text":117,"@type":113},"Use the dimensions of the rectangle formed after sliding the triangle. Multiply the rectangle’s length and width to get the area.",{"name":119,"@type":110,"acceptedAnswer":120},"Are the problems solved with the same method for different units?",{"text":121,"@type":113},"Yes. The same rearrangement method applies, and the area is computed using the units shown in each problem (in², cm², m², ft²).","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},468417,1792876355,{"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":29,"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","Rearranging a Parallelogram into a Rectangle  \nName:  \n\n| The dashed cut makes a triangle that slides to the other end. |  |  |  |  |  | by\u003Cbr>by\u003Cbr>by\u003Cbr>by | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8. | Answers |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>2)\u003Cbr>20 in 16 in\u003Cbr>7 in\u003Cbr>The rectangle it makes is by\u003Cbr>Area: 18 in\u003Cbr>The rectangle it makes is Area:\u003Cbr>|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 3) | | 4) |  |  | |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 5)\u003Cbr>7) | 13 cm\u003Cbr>The rectangle it makes is by\u003Cbr>Area: |  | 12 m The rectangle it makes is Area: |  |  |  |  |  |\n|  | \u003Cbr>\u003Cbr>5 in  4 in\u003Cbr>\u003Cbr>8 in\u003Cbr>The rectangle it makes is by Area: | 6) |  | \u003Cbr>9 cm The rectangle it makes is Area: |  |  |  |  |\n|  | \u003Cbr>\u003Cbr>20 ft  16 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The rectangle it makes is by Area: | 8) |  | \u003Cbr>\u003Cbr>15 m 12 m\u003Cbr>\u003Cbr>11 m The rectangle it makes is Area: |  |  |  |  |\n\n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-8 88 75 63 50 38 25 13 0  \n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \nRearranging a Parallelogram into a Rectangle  \nName: Answer Key  \n\n| The dashed cut makes a triangle that slides to the other end.\u003Cbr>1)\u003Cbr>\u003Cbr>7 in\u003Cbr>The rectangle it makes is 7 in by 3 in Area: 21 in²\u003Cbr>2)\u003Cbr>18 in\u003Cbr>The rectangle it makes is 18 in by 16 in Area: 288 in²\u003Cbr>3) 4)\u003Cbr>\u003Cbr>\u003Cbr>|  |  |  | Answers 1.  21 in²  2.  288 in²  3.  195 cm²  4.  180 m²  5.  32 in²  6.  72 cm² \u003Cbr>7.  256 ft² \u003Cbr>8.  132 m²  |\n| --- | --- | --- | --- | --- |\n| 5)\u003Cbr>7) | 13 cm\u003Cbr>The rectangle it makes is 13 cm by 15 cm\u003Cbr>Area: 195 cm²\u003Cbr>\u003Cbr>\u003Cbr>5 in  4 in\u003Cbr>\u003Cbr>8 in\u003Cbr>The rectangle it makes is 8 in by 4 in Area: 32 in² | 12 m\u003Cbr>The rectangle it makes is 12 m by 15 m Area: 180 m² |  |  |\n|  |  | 6) | |  |\n|  |  | The rectangle it makes is 9 cm by 8 cm Area: 72 cm² |  |  |\n|  | \u003Cbr>\u003Cbr>20 ft  16 ft\u003Cbr>\u003Cbr>16 ft\u003Cbr>The rectangle it makes is 16 ft by 16 ft Area: 256 ft² | 8) | \u003Cbr>\u003Cbr>15 m 12 m\u003Cbr>\u003Cbr>11 m |  |\n|  |  | The rectangle it makes is 11 m by 12 m Area: 132 m² |  |  |\n\n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-8 88 75 63 50 38 25 13 0  \n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \nRearranging a Parallelogram into a Rectangle  \nName:  \n\n| The dashed cut makes a triangle that slides to the other end. 1)\u003Cbr>5 in\u003Cbr>3 in\u003Cbr>7 in\u003Cbr>The rectangle it makes is by\u003Cbr>Area:\u003Cbr>|  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | |  |  |  | 4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |\n| The rectangle it makes is by Area:\u003Cbr>3) \u003Cbr>\u003Cbr>13 cm\u003Cbr>The rectangle it makes is by Area: |  |  |  |  |  |  |  |  |  |  |\n| 4)\u003Cbr>\u003Cbr>12 m\u003Cbr>The rectangle it makes is by Area: |  |  |  |  |  |  |  |  |  |  |\n| 5)\u003Cbr>\u003Cbr>\u003Cbr>5 in  4 in\u003Cbr>\u003Cbr>8 in\u003Cbr>The rectangle it makes is by Area: |  |  |  |  |  |  |  |  |  |  |\n| 6) |  |  |  |  |  |  |  |  |  |  |\n| Math |  | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 4 | 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n|  |  |  |  |  |  |  |  |  |  |  |","cbCaikOHeWqmWeHp","https://ap.wps.com/l/cbCaikOHeWqmWeHp","pdf",46029,"English","# Rearranging the shapes\n## Dashed cut and sliding triangle\n## Find rectangle dimensions and area\n## Answers","[{\"question\":\"How does the dashed cut help rearrange a parallelogram into a rectangle?\",\"answer\":\"The dashed cut separates the parallelogram into a triangle and the remaining piece. The triangle can slide to the other end so the pieces form a rectangle.\"},{\"question\":\"What information is needed to find the area of the new rectangle?\",\"answer\":\"Use the dimensions of the rectangle formed after sliding the triangle. Multiply the rectangle’s length and width to get the area.\"},{\"question\":\"Are the problems solved with the same method for different units?\",\"answer\":\"Yes. The same rearrangement method applies, and the area is computed using the units shown in each problem (in², cm², m², ft²).\"}]","Rearranging a Parallelogram into a Rectangle - Answer Key | PDF",1790774189]