[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-466973-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-466973-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","rectangles-same-area-different-perimeter-solve-each-problem-5-questions","Rectangles-Same Area & Different Perimeter - Solve each problem - 5 questions","","Worksheets tasking learners to solve “Rectangles—Same Area & Different Perimeter.” Each question gives a rectangle’s dimensions and asks students to create a different rectangle with the same area but a different perimeter. Multiple sets of problems vary side lengths, maintaining the area requirement while changing possible perimeter outcomes. An answer key section provides the corresponding alternate dimension pairs for each prompt, reinforcing perimeter computation and factor 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/rectangles-same-area-different-perimeter-solve-each-problem-5-questions/466973/",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/rectangles-same-area-different-perimeter-solve-each-problem-5-questions/466973.png","ImageObject",300,407,{"name":42,"@type":43},"Oliver","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does each problem ask you to do with a given rectangle?","Question",{"text":63,"@type":64},"Use the given rectangle dimensions to create a different rectangle with the same area but a different perimeter.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How should you select the new rectangle dimensions?",{"text":68,"@type":64},"Choose side lengths whose product matches the original area, then ensure the perimeter differs from the original.",{"name":70,"@type":61,"acceptedAnswer":71},"Where can students find the correct dimension pairs?",{"text":72,"@type":64},"The document includes an “Answer Key” section that lists the expected alternate dimensions for each problem.","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},466973,1791319600,{"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":112,"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":144},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Rectangles-Same Area & Different Perimeter  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 1×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×9 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 4×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 2×6 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>5) The rectangle below has the dimensions 5×6 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 1\u003Cbr>1-5\u003Cbr> 80  |  |  60  |  40  |  20  | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nRectangles-Same Area & Different Perimeter  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 1×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>2×5\u003Cbr>2) The rectangle below has the dimensions 1×9 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>3×3\u003Cbr>3) The rectangle below has the dimensions 4×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>5×8\u003Cbr>4) The rectangle below has the dimensions 2×6 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>3×4\u003Cbr>5) The rectangle below has the dimensions 5×6 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>3×10 | Answers 1.  2×5  2.  3×3  3.  5×8  4.  3×4  5.  3×10  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 1\u003Cbr>1-5\u003Cbr> 80  |  |  60  |  40  |  20  | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nRectangles-Same Area & Different Perimeter  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 1×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×9 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 4×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 2×6 . Create a rectangle with the same area, but a different perimeter.\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)  \n1  \nRectangles-Same Area & Different Perimeter  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 2×9 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 2×8 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 5×6 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 5×8 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>5) The rectangle below has the dimensions 2×4 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 2\u003Cbr>1-5\u003Cbr> 80  |  |  60  |  40  |  20  | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nRectangles-Same Area & Different Perimeter  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 2×9 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>3×6\u003Cbr>2) The rectangle below has the dimensions 2×8 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>4×4\u003Cbr>3) The rectangle below has the dimensions 5×6 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>3×10\u003Cbr>4) The rectang","cbCaipOrM0vRVlw5","https://ap.wps.com/l/cbCaipOrM0vRVlw5","pdf",481182,"English","# Rectangles—Same Area & Different Perimeter\n## Solve each problem\n## Answers and answer key","[{\"question\":\"What does each problem ask you to do with a given rectangle?\",\"answer\":\"Use the given rectangle dimensions to create a different rectangle with the same area but a different perimeter.\"},{\"question\":\"How should you select the new rectangle dimensions?\",\"answer\":\"Choose side lengths whose product matches the original area, then ensure the perimeter differs from the original.\"},{\"question\":\"Where can students find the correct dimension pairs?\",\"answer\":\"The document includes an “Answer Key” section that lists the expected alternate dimensions for each problem.\"}]","Rectangles-Same Area & Different Perimeter - Solve each problem - 5 questions | PDF",1790772132,76]