[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-detail-466979-en":59,"doc-seo-466979-105":80},{"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":5,"data":60},{"doc_id":61,"user_id":62,"nickname":63,"user_avatar":64,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":66,"doc_content":67,"file_id":68,"file_url":69,"file_type":70,"file_size":71,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":72,"language":73,"language_code":74,"site_id":75,"html_lang":74,"table_of_contents":76,"faqs":77,"seo_title":78,"seo_description":66,"update_tm":79,"read_time":39},466979,8796095461610,"Oliver","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Rectangles - Same Area & Different Perimeter - Solve Each Problem","Math worksheet focused on understanding rectangle area conservation while changing side lengths to produce different perimeters. Five problems give initial rectangles (3×8, 1×10, 2×2, 4×10, 3×3) and ask for a new rectangle with the same area but a different perimeter. An answer key provides one valid pair of dimensions for each item, demonstrating multiple factor combinations that keep area constant while perimeter varies.","Rectangles-Same Area & Different Perimeter  \nName:  \n\n| Solve each problem.\u003Cbr>1) The rectangle below has the dimensions 3×8 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 2×2 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 4×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>5) The rectangle below has the dimensions 3×3 . 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| 5\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 3×8 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>4×6\u003Cbr>2) The rectangle below has the dimensions 1×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>2×5\u003Cbr>3) The rectangle below has the dimensions 2×2 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>1×4\u003Cbr>4) The rectangle below has the dimensions 4×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>5×8\u003Cbr>5) The rectangle below has the dimensions 3×3 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>1×9 | Answers 1.  4×6  2.  2×5  3.  1×4  4.  5×8  5.  1×9  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 5\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 3×8 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>2) The rectangle below has the dimensions 1×10 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>3) The rectangle below has the dimensions 2×2 . Create a rectangle with the same area, but a different perimeter.\u003Cbr>\u003Cbr>4) The rectangle below has the dimensions 4×10 . 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)  \n5","cbCaivKvqn4Ffpwe","https://ap.wps.com/l/cbCaivKvqn4Ffpwe","pdf",47075,3,"English","en",105,"# Problems\n## 1) 3×8 to same area, different perimeter\n## 2) 1×10 to same area, different perimeter\n## 3) 2×2 to same area, different perimeter\n## 4) 4×10 to same area, different perimeter\n## 5) 3×3 to same area, different perimeter\n# Answer Key","[{\"question\":\"What is the main goal of these problems?\",\"answer\":\"Find rectangle dimensions that keep the same area as the given rectangle, while producing a different perimeter.\"},{\"question\":\"How can a different perimeter happen if the area stays the same?\",\"answer\":\"Different factor pairs can give the same product (area) but different sums of side lengths, which changes the perimeter.\"},{\"question\":\"Does the answer key list just one correct answer per problem?\",\"answer\":\"Yes. It provides one valid set of dimensions for each original rectangle that matches the area requirement and changes the perimeter.\"}]","Rectangles - Same Area & Different Perimeter - Solve Each Problem | PDF",1790772142,{"code":4,"msg":81,"data":82},"ok",{"site_id":75,"language":74,"slug":83,"title":65,"keywords":84,"description":66,"schema_data":85,"social_meta":138,"head_meta":140,"extra_data":142,"updated_unix":143},"rectangles-same-area-different-perimeter-solve-each-problem","",{"@graph":86,"@context":137},[87,100,120],{"@type":88,"itemListElement":89},"BreadcrumbList",[90,94,96,98],{"item":91,"name":92,"@type":93,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":95,"name":9,"@type":93,"position":14},"https://docshare.wps.com/document/",{"item":97,"name":20,"@type":93,"position":72},"https://docshare.wps.com/document/exam/",{"item":99,"name":65,"@type":93,"position":19},"https://docshare.wps.com/document/rectangles-same-area-different-perimeter-solve-each-problem/466979/",{"url":99,"name":65,"@type":101,"image":102,"author":107,"headline":65,"publisher":109,"fileFormat":112,"inLanguage":74,"description":66,"dateModified":113,"datePublished":114,"encodingFormat":112,"isAccessibleForFree":115,"interactionStatistic":116},"DigitalDocument",{"url":103,"@type":104,"width":105,"height":106},"https://docshare.wps.com/thumbnails/rectangles-same-area-different-perimeter-solve-each-problem/466979.png","ImageObject",300,407,{"name":63,"@type":108},"Person",{"url":91,"name":110,"@type":111},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":117,"interactionType":118,"userInteractionCount":24},"InteractionCounter",{"@type":119},"ViewAction",{"@type":121,"mainEntity":122},"FAQPage",[123,129,133],{"name":124,"@type":125,"acceptedAnswer":126},"What is the main goal of these problems?","Question",{"text":127,"@type":128},"Find rectangle dimensions that keep the same area as the given rectangle, while producing a different perimeter.","Answer",{"name":130,"@type":125,"acceptedAnswer":131},"How can a different perimeter happen if the area stays the same?",{"text":132,"@type":128},"Different factor pairs can give the same product (area) but different sums of side lengths, which changes the perimeter.",{"name":134,"@type":125,"acceptedAnswer":135},"Does the answer key list just one correct answer per problem?",{"text":136,"@type":128},"Yes. It provides one valid set of dimensions for each original rectangle that matches the area requirement and changes the perimeter.","https://schema.org",{"og:url":99,"og:type":139,"og:title":65,"og:site_name":110,"og:description":66},"article",{"robots":141,"canonical":99},"index,follow",{"doc_id":61,"site_id":75},1792829285]