[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523225-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523225-en":131},{"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","distributive-property-with-area-diagrams-numeric-solve-each-problem","Distributive Property with Area Diagrams, Numeric - Solve each problem","","Worksheets for Grade 6 practice on the distributive property using area diagrams. Students solve problems by expressing the area of an outer rectangle in multiple equivalent forms, such as converting a factored expression into sums of products or expanded addends. The tasks include checking whether different algebraic expressions represent the same total area and rewriting the area as the sum of smaller rectangle areas, using both numeric and diagram-based 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/distributive-property-with-area-diagrams-numeric-solve-each-problem/523225/",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/distributive-property-with-area-diagrams-numeric-solve-each-problem/523225.png","ImageObject",300,407,{"name":42,"@type":43},"Jasmine","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you express the area of the outer rectangle in an equivalent form?","Question",{"text":63,"@type":64},"Rewrite the factored area expression as a sum, such as turning 3(5 + 6) into 3×5 + 3×6 or an equivalent expanded sum.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does the worksheet ask you to do with the smaller rectangles?",{"text":68,"@type":64},"Add the areas of the smaller rectangles to match the same total area as the outer rectangle, showing the distributive property through decomposition.",{"name":70,"@type":61,"acceptedAnswer":71},"What should you check when comparing two expressions for the same area?",{"text":72,"@type":64},"Confirm both expressions produce the same total area value, even if one is written as products in a sum and the other is written as separate addends.","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},523225,1791504786,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"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":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":96,"preview_page_count":4},2336478487870,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Grade 6 Math Name   \nDistributive Property with Area Diagrams, Numeric  \nSolve each problem.  \nDate   \nPeriod   \n1) The area of the outer rectangle can be expressed as 3(5 + 6) . Can we also express the area as 3 ´ 5 + 3 ´ 6?  \n5 6  \n2) The area of the outer rectangle can be expressed as 4(3 + 6) . Can we also express the area as 4 + 3 + 6?  \n3 6  \n3  \n\n|  |  |\n| --- | --- |\n\n4  \n\n|  |  |\n| --- | --- |\n\n3) The area of the outer rectangle can be expressed as 7(4 + 5 + 3) . Can we also express the area as 7 + 4 + 5 + 3?  \n4 5 3  \n\n|  |  |  |\n| --- | --- | --- |\n\n7  \n5) The area of the outer rectangle can be expressed as 3(6 + 7) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n6 7  \n3  \n\n|  |  |\n| --- | --- |\n\n4) The area of the outer rectangle can be expressed as 3(2 + 5 + 4) . Can we also express the area as 3 ´ 2 + 3 ´ 5 + 3 ´ 4?  \n2 5 4  \n3  \n\n|  |  |  |\n| --- | --- | --- |\n\n6) The area of the outer rectangle can be expressed as 2(5 + 6) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n5 6  \n2  \n\n|  |  |\n| --- | --- |\n\n7) The area of the outer rectangle can be expressed as 7(5 + 4 + 3) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n5 4 3  \n\n|  |  |  |\n| --- | --- | --- |\n\n7  \nKuta Software-Infinite Grade 6 Math Name   \nDistributive Property with Area Diagrams, Numeric  \nSolve each problem.  \nDate   \nPeriod   \n1) The area of the outer rectangle can be expressed as 3(5 + 6) . Can we also express the area as 3 ´ 5 + 3 ´ 6?  \n5 6  \n2) The area of the outer rectangle can be expressed as 4(3 + 6) . Can we also express the area as 4 + 3 + 6?  \n3 6  \n3  \n\n|  |  |\n| --- | --- |\n\nYes  \n4  \n\n|  |  |\n| --- | --- |\n\nNo  \n3) The area of the outer rectangle can be expressed as 7(4 + 5 + 3) . Can we also express the area as 7 + 4 + 5 + 3?  \n4 5 3  \n\n|  |  |  |\n| --- | --- | --- |\n\n7  \nNo  \n5) The area of the outer rectangle can be expressed as 3(6 + 7) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n6 7  \n3  \n\n|  |  |\n| --- | --- |\n\n3 ´ 6 + 3 ´ 7  \n7) The area of the outer rectangle can be expressed as 7(5 + 4 + 3) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n5 4 3  \n\n|  |  |  |\n| --- | --- | --- |\n\n7  \n4) The area of the outer rectangle can be expressed as 3(2 + 5 + 4) . Can we also express the area as 3 ´ 2 + 3 ´ 5 + 3 ´ 4?  \n2 5 4  \n3  \n\n|  |  |  |\n| --- | --- | --- |\n\nYes  \n6) The area of the outer rectangle can be expressed as 2(5 + 6) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n5 6  \n2  \n\n|  |  |\n| --- | --- |\n\n2 ´ 5 + 2 ´ 6  \n7 ´ 5 + 7 ´ 4 + 7 ´ 3  \nCreate your own worksheets like this one with Infinite Grade 6 Math. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCailqvVmwpklsZ","https://ap.wps.com/l/cbCailqvVmwpklsZ","pdf",37030,"English","# Solve each problem\n## Express outer rectangle area in equivalent forms\n## Rewrite area as sums of smaller rectangle areas","[{\"question\":\"How do you express the area of the outer rectangle in an equivalent form?\",\"answer\":\"Rewrite the factored area expression as a sum, such as turning 3(5 + 6) into 3×5 + 3×6 or an equivalent expanded sum.\"},{\"question\":\"What does the worksheet ask you to do with the smaller rectangles?\",\"answer\":\"Add the areas of the smaller rectangles to match the same total area as the outer rectangle, showing the distributive property through decomposition.\"},{\"question\":\"What should you check when comparing two expressions for the same area?\",\"answer\":\"Confirm both expressions produce the same total area value, even if one is written as products in a sum and the other is written as separate addends.\"}]","Distributive Property with Area Diagrams, Numeric - Solve each problem | PDF",1791426623]