[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-637478-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-637478-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","perimeter-of-a-rhombus-3-mathematics-practice-worksheet","Perimeter of a Rhombus 3 - Mathematics Practice Worksheet","","This educational document provides a structured mathematics practice worksheet focused on calculating the perimeter of a rhombus. The material presents four geometry problems where the side length of the rhombus must be determined using the Pythagorean theorem, given the lengths of the diagonals. Each problem is accompanied by a detailed solution in the answer section, showing the step-by-step application of the theorem and the subsequent multiplication by four to find the total perimeter. The content is designed to reinforce geometric principles and calculation skills for students, offering clear, logical examples for self-assessment and review. The clear progression from problem statement to formula application and final result makes it an effective resource for learning the relationship between diagonals and side lengths in a rhombus.",{"@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/perimeter-of-a-rhombus-3-mathematics-practice-worksheet/637478/",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/perimeter-of-a-rhombus-3-mathematics-practice-worksheet/637478.png","ImageObject",300,407,{"name":42,"@type":43},"awa","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you calculate the perimeter of a rhombus when diagonals are given?","Question",{"text":63,"@type":64},"To find the perimeter of a rhombus using diagonals, first use the Pythagorean theorem to calculate the side length. Once the length of one side is determined, multiply it by four since all sides of a rhombus are equal in length.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What formula is used to find the side length of the rhombus in these exercises?",{"text":68,"@type":64},"The exercises use the Pythagorean theorem: h² = a² + b², where 'a' and 'b' are half-lengths of the diagonals, and 'h' represents the side length of the rhombus.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the perimeter of a rhombus with side length 5cm?",{"text":72,"@type":64},"The perimeter is calculated by multiplying the side length by four, resulting in 5cm x 4 = 20cm.","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},637478,1792963185,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"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":55,"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":26,"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":55},3985747858093,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name Date  \nPERIMETER OF A RHOMBUS 3  \nFind the perimeter of these rhombuses. The answers should all be whole numbers. They are not drawn to scale.  \n\n| 1)\u003Cbr>| 2) |  | |\n| --- | --- | --- | --- |\n| Perimeter: | Perimeter: |  |  |\n| 3)\u003Cbr>\u003Cbr>5cm\u003Cbr>\u003Cbr>12cm | 4) | |  |\n| Perimeter: | Perimeter: |  |  |\n\nName Date  \nPERIMETER OF A RHOMBUS 3 ANSWERS  \nFind the perimeter of these rhombuses. The answers should all be whole numbers. They are not drawn to scale.  \n\n| 1)\u003Cbr>\u003Cbr>Using pythagoras: h2 = 32 + 42 = 9 + 16 = 25\u003Cbr>So h = √25 = 5cm | 2)\u003Cbr>h = 15cm\u003Cbr>\u003Cbr>Using pythagoras: h2 = 92 + 122 = 81 + 144 = 225\u003Cbr>So h = √225 = 15cm |  |\n| --- | --- | --- |\n| Perimeter: 5cm x 4 = 20cm | Perimeter: 15cm x 4 = 60cm |  |\n| 3)\u003Cbr>\u003Cbr>h = 13cm\u003Cbr>5cm\u003Cbr>\u003Cbr>12cm\u003Cbr>Using pythagoras: h2 = 52 + 122 = 25 + 144 = 169\u003Cbr>So h = √169 = 13cm | 4) | |\n|  | Using pythagoras:\u003Cbr>h2 = 122 + 162 = 144 + 256 = 400\u003Cbr>So h = √400 = 20cm |  |\n| Perimeter: 13cm x 4 = 52cm | Perimeter: 20cm x 4 = 80cm |  |","cbCaioM91z9bAwfo","https://ap.wps.com/l/cbCaioM91z9bAwfo","pdf",182576,"English","# Rhombus Perimeter Exercises\n## Answer Key and Solutions","[{\"question\":\"How do you calculate the perimeter of a rhombus when diagonals are given?\",\"answer\":\"To find the perimeter of a rhombus using diagonals, first use the Pythagorean theorem to calculate the side length. Once the length of one side is determined, multiply it by four since all sides of a rhombus are equal in length.\"},{\"question\":\"What formula is used to find the side length of the rhombus in these exercises?\",\"answer\":\"The exercises use the Pythagorean theorem: h² = a² + b², where 'a' and 'b' are half-lengths of the diagonals, and 'h' represents the side length of the rhombus.\"},{\"question\":\"What is the perimeter of a rhombus with side length 5cm?\",\"answer\":\"The perimeter is calculated by multiplying the side length by four, resulting in 5cm x 4 = 20cm.\"}]","Perimeter of a Rhombus 3 - Mathematics Practice Worksheet | PDF",1792680630]