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Designed for students, the document explores the relationship between perimeter constraints and the maximization of area. It presents scenarios involving Captain Salamander, who must fence off a garden pen using specific lengths of fencing. The worksheet includes problem statements, space for drawing solutions, and a comprehensive answer key demonstrating how a square configuration yields the largest area for a given perimeter. By comparing different rectangular dimensions, learners develop a practical understanding of geometry, optimization, and measurement concepts in a real-world context.",{"@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/area-and-perimeter-of-rectangles-challenge-2-math-practice-worksheet/633326/",{"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/area-and-perimeter-of-rectangles-challenge-2-math-practice-worksheet/633326.png","ImageObject",300,407,{"name":92,"@type":93},"Ophelia","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the objective of the math challenge?","Question",{"text":112,"@type":113},"The goal is to help Captain Salamander create a rectangular garden pen that encloses the largest possible area using a fixed length of fencing.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which rectangular shape provides the largest area for a fixed perimeter of 12m?",{"text":117,"@type":113},"A square pen measuring 3m by 3m provides the largest area, which is 9 square meters.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the maximum area possible if Captain Salamander has 20m of fencing?",{"text":121,"@type":113},"If he has 20m of fencing, the largest area he can enclose is a 5m by 5m square, resulting in an area of 25 square meters.","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},633326,1792799566,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},7971461741311,"https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826","Name Date  \nAREA & PERIMETER OF RECTANGLES CHALLENGE 2  \nCaptain Salamander has 12m of fencing that he wants to make into a rectangular pen to put in his garden to keep the predators out.  \nHe wants to enclose the biggest area possible.  \nDraw 3 different pens that he could make. Which pen has the biggest area?  \nWhat if Captain Salamander had 20m of fencing instead of 12m?  \nName Date  \nAREA & PERIMETER OF RECTANGLES CHALLENGE 2 ANSWERS  \nCaptain Salamander has 12m of fencing that he wants to make into a rectangular pen to put in his garden to keep the predators out.  \nHe wants to enclose the biggest area possible.  \nDraw 3 different pens that he could make. Which pen has the biggest area?  \n1m  \nArea 5m2  \n5m  \n2m  \nArea 8m2  \n4m  \n3m  \nArea 9m2  \n3m  \nAnswer: the 3m by 3m square pen has the biggest area which is 9m 2 .  \nWhat if Captain Salamander had 20m of fencing instead of 12m?  \nIf he had 20m of fencing, then the largest area pen he could fence off would be a 5m by 5m square, which would give an area of 25m 2 .","cbCaiouS92lc0FgC","https://ap.wps.com/l/cbCaiouS92lc0FgC","pdf",143698,"English","# Problem Statement: 12m Fencing Challenge\n## Problem Statement: 20m Fencing Extension\n# Answer Key: 12m Fencing Solutions\n## Answer Key: 20m Fencing Extension","[{\"question\":\"What is the objective of the math challenge?\",\"answer\":\"The goal is to help Captain Salamander create a rectangular garden pen that encloses the largest possible area using a fixed length of fencing.\"},{\"question\":\"Which rectangular shape provides the largest area for a fixed perimeter of 12m?\",\"answer\":\"A square pen measuring 3m by 3m provides the largest area, which is 9 square meters.\"},{\"question\":\"What is the maximum area possible if Captain Salamander has 20m of fencing?\",\"answer\":\"If he has 20m of fencing, the largest area he can enclose is a 5m by 5m square, resulting in an area of 25 square meters.\"}]","Area and Perimeter of Rectangles Challenge 2 - Math Practice Worksheet | PDF",1792671981]