[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467000-105":59,"doc-detail-467000-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","rectangles-same-perimeter-different-area-answers-key","Rectangles-Same Perimeter & Different Area - Answers Key","","Worksheets on constructing rectangles that share the same perimeter but have different areas. The material presents five prompt rectangles with dimensions such as 2×5, 1×4, 2×9, 1×8, and 3×10, instructing students to create alternative rectangles keeping perimeter constant while changing the area. An answer key lists valid rectangle dimension pairs for each item, demonstrating multiple possible factor combinations that satisfy the perimeter constraint.",{"@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/rectangles-same-perimeter-different-area-answers-key/467000/",{"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/rectangles-same-perimeter-different-area-answers-key/467000.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each problem ask you to do with the rectangles?","Question",{"text":112,"@type":113},"For each given rectangle dimension, you must create a different rectangle that has the same perimeter but a different area.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How can two different rectangles have the same perimeter?",{"text":117,"@type":113},"They can use different side-length factor pairs that produce the same perimeter total even when the area changes.",{"name":119,"@type":110,"acceptedAnswer":120},"What information is provided in the answer key?",{"text":121,"@type":113},"The answer key provides the valid alternative rectangle side lengths for each prompt, such as a listed dimension pair for each numbered problem.","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},467000,1790884266,{"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":44,"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},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Rectangles-Same Perimeter & Different Area  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 2×5 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×4 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 2×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 1×8 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>5) The rectangle below has the dimensions 3×10 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 6\u003Cbr>1-5\u003Cbr> 80  |  |  60  |  40  |  20  | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nRectangles-Same Perimeter & Different Area  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 2×5 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>1x6\u003Cbr>3x4\u003Cbr>2) The rectangle below has the dimensions 1×4 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>2x3\u003Cbr>3) The rectangle below has the dimensions 2×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>5x6\u003Cbr>1x10\u003Cbr>4) The rectangle below has the dimensions 1×8 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>2x7\u003Cbr>4x5\u003Cbr>5) The rectangle below has the dimensions 3×10 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>4x9 6x7 | Answers\u003Cbr>1.  1×6 : 3×4 \u003Cbr>2.  2×3 \u003Cbr>3.  5×6 : 1×10 \u003Cbr>4.  2×7 : 4×5 \u003Cbr>5.  4×9 : 6×7  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 6\u003Cbr>1-5\u003Cbr> 80  |  |  60  |  40  |  20  | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nRectangles-Same Perimeter & Different Area  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 2×5 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×4 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 2×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 1×8 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  | 1-4 | 75 | 50 | 25 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n6","cbCaifdofRgZ1Dl6","https://ap.wps.com/l/cbCaifdofRgZ1Dl6","pdf",47287,"English","# Rectangles with the Same Perimeter\n## Problem prompts\n## Answer key","[{\"question\":\"What does each problem ask you to do with the rectangles?\",\"answer\":\"For each given rectangle dimension, you must create a different rectangle that has the same perimeter but a different area.\"},{\"question\":\"How can two different rectangles have the same perimeter?\",\"answer\":\"They can use different side-length factor pairs that produce the same perimeter total even when the area changes.\"},{\"question\":\"What information is provided in the answer key?\",\"answer\":\"The answer key provides the valid alternative rectangle side lengths for each prompt, such as a listed dimension pair for each numbered problem.\"}]","Rectangles-Same Perimeter & Different Area - Answers Key | PDF",1790772178]