[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466997-105":59,"doc-detail-466997-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","rectangles-same-perimeter-different-area-answer-key-466997","Rectangles - Same Perimeter - Different Area - Answer Key","","Rectangles - Same Perimeter & Different Area (Answer Key) provides solutions to five geometry problems where students must design a rectangle with the same perimeter as a given one but a different area. The worksheet lists starting dimensions for each case, then supplies valid alternate side lengths that preserve perimeter while changing the area. It serves as an answer reference for Common Core style math practice focused on perimeter and area relationships in rectangles.",{"@graph":69,"@context":123},[70,84,106],{"@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-answer-key-466997/466997/",{"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-answer-key-466997/466997.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":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the goal of each problem on the worksheet?","Question",{"text":113,"@type":114},"For each given rectangle, create another rectangle with the same perimeter but a different area.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do the answer key solutions verify correctness?",{"text":118,"@type":114},"Each listed alternative side pair keeps the perimeter equal to the original dimensions while producing a different area.",{"name":120,"@type":111,"acceptedAnswer":121},"Which original dimension pairs are used in Problems 1–5?",{"text":122,"@type":114},"The worksheet uses rectangles with dimensions 2×5, 1×4, 3×7, 2×9, and 6×7.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},466997,1790824182,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"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 3×7 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 2×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>5) The rectangle below has the dimensions 6×7 . 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| 5\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 3×7 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>1x9\u003Cbr>4) The rectangle below has the dimensions 2×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>5x6\u003Cbr>1x10\u003Cbr>5) The rectangle below has the dimensions 6×7 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>3x10 4x9 | Answers\u003Cbr>1.  1×6 : 3×4 \u003Cbr>2.  2×3 \u003Cbr>3.  1×9 \u003Cbr>4.  5×6 : 1×10 \u003Cbr>5.  3×10 : 4×9  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 5\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 3×7 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 2×9 . 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)  \n5","cbCaibHiPzulo1EQ","https://ap.wps.com/l/cbCaibHiPzulo1EQ","pdf",47274,"English","# Solve each problem\n## Problem 1: 2×5\n## Problem 2: 1×4\n## Problem 3: 3×7\n## Problem 4: 2×9\n## Problem 5: 6×7","[{\"question\":\"What is the goal of each problem on the worksheet?\",\"answer\":\"For each given rectangle, create another rectangle with the same perimeter but a different area.\"},{\"question\":\"How do the answer key solutions verify correctness?\",\"answer\":\"Each listed alternative side pair keeps the perimeter equal to the original dimensions while producing a different area.\"},{\"question\":\"Which original dimension pairs are used in Problems 1–5?\",\"answer\":\"The worksheet uses rectangles with dimensions 2×5, 1×4, 3×7, 2×9, and 6×7.\"}]","Rectangles - Same Perimeter - Different Area - Answer Key | PDF",1790772168]