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An answer key provides the corresponding side-length pairs for each item so learners can verify solutions and deepen area understanding under constant-perimeter constraints.",{"@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-perimeter-different-area-practice-same-perimeter-different-area/466991/",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-perimeter-different-area-practice-same-perimeter-different-area/466991.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",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does each problem ask you to do with the rectangle’s perimeter and area?","Question",{"text":63,"@type":64},"Each problem gives a rectangle’s dimensions and asks you to create a different rectangle with the same perimeter but a different area.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the new rectangles’ side lengths determined?",{"text":68,"@type":64},"Use the perimeter of the given rectangle as a fixed value, then find a different pair of side lengths that produce the same perimeter.",{"name":70,"@type":61,"acceptedAnswer":71},"Where can the correct answers be found?",{"text":72,"@type":64},"The worksheet includes an answer key listing the valid side-length pairs for each problem number.","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},466991,1790825396,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"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":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"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":113,"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 Perimeter & Different Area  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 1×10 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 6×7 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>5) 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.  \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 Perimeter & Different Area  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>3x7\u003Cbr>2) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>3x4\u003Cbr>2x5\u003Cbr>3) The rectangle below has the dimensions 1×10 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>5x6\u003Cbr>2x9\u003Cbr>4) The rectangle below has the dimensions 6×7 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>3x10\u003Cbr>4x9\u003Cbr>5) The rectangle below has the dimensions 1×8 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>4x5 2x7 | Answers\u003Cbr>1.  3×7 \u003Cbr>2.  3×4 : 2×5 \u003Cbr>3.  5×6 : 2×9 \u003Cbr>4.  3×10 : 4×9 \u003Cbr>5.  4×5 : 2×7  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 1\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 1×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 1×10 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>4) 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.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  | 1-4 | 75 | 50 | 25 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \nRectangles-Same Perimeter & Different Area  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 1×9 . 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 4×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>\u003Cbr>5) 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.  \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 Perimeter & Different Area  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.\u003Cbr>3x7\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 4×9 . Create a rectangle with the sa","cbCaio46PVGlgz2M","https://ap.wps.com/l/cbCaio46PVGlgz2M","pdf",482948,"English","# Solve Each Problem\n## Create Same-Perimeter Rectangles\n## Check Answers","[{\"question\":\"What does each problem ask you to do with the rectangle’s perimeter and area?\",\"answer\":\"Each problem gives a rectangle’s dimensions and asks you to create a different rectangle with the same perimeter but a different area.\"},{\"question\":\"How are the new rectangles’ side lengths determined?\",\"answer\":\"Use the perimeter of the given rectangle as a fixed value, then find a different pair of side lengths that produce the same perimeter.\"},{\"question\":\"Where can the correct answers be found?\",\"answer\":\"The worksheet includes an answer key listing the valid side-length pairs for each problem number.\"}]","Rectangles-Same Perimeter & Different Area - Practice - Same Perimeter, Different Area | PDF",1790772154,76]