[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523246-105":59,"doc-detail-523246-en":131},{"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":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","distributive-property-with-area-diagrams-algebraic-worksheet","Distributive Property with Area Diagrams, Algebraic - Worksheet","","Worksheet for Grade 6 math practice on the distributive property using area diagrams with algebraic expressions. Students solve problems about finding the area of an outer rectangle and rewriting it as sums of smaller rectangle areas. Tasks convert expressions such as x(6+5) into equivalent expanded forms like x·6 + x·5, and similarly rewrite grouped multiplications into additive area representations. Answers are checked against “Yes/No” statements for equivalence.",{"@graph":69,"@context":123},[70,84,106],{"@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/distributive-property-with-area-diagrams-algebraic-worksheet/523246/",{"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/distributive-property-with-area-diagrams-algebraic-worksheet/523246.png","ImageObject",300,407,{"name":92,"@type":93},"Franzy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do these problems use the distributive property with area diagrams?","Question",{"text":113,"@type":114},"They treat the outer rectangle area as a product like x(6+5) and ask you to rewrite that product as a sum of smaller rectangle areas.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What does it mean to answer “Yes” or “No” in these questions?",{"text":118,"@type":114},"“Yes” means the alternative expression given represents the same area as the original expression; “No” means it does not match.",{"name":120,"@type":111,"acceptedAnswer":121},"How can you rewrite expressions such as x(2+3+5) into an additive form?",{"text":122,"@type":114},"Distribute x to each addend, turning it into x·2 + x·3 + x·5.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523246,1791492597,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Grade 6 Math Name   \nDistributive Property with Area Diagrams, Algebraic  \nSolve each problem.  \nDate   \nPeriod   \n1) The area of the outer rectangle can be expressed as x(6 + 5) . Can we also express the area as x ´ 6 + x ´ 5?  \n6 5  \n2) The area of the outer rectangle can be expressed as x(7 + 3) . Can we also express the area as x ´ 7 ´ 3?  \n7 3  \nx  \n\n|  |  |\n| --- | --- |\n\nx  \n\n|  |  |\n| --- | --- |\n\n3) The area of the outer rectangle can be expressed as 4(5 + 2 + x) . Can we also express the area as 4 + 5 + 2 + x?  \n5 2 x  \n\n|  |  |  |\n| --- | --- | --- |\n\n4  \n5) The area of the outer rectangle can be expressed as 3( x + 7) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \nx 7  \n\n|  |  |\n| --- | --- |\n\n3  \n4) The area of the outer rectangle can be expressed as x(2 + 3 + 5) . Can we also express the area as x ´ 2 + x ´ 3 + x ´ 5?  \n2 3 5  \nx  \n\n|  |  |  |\n| --- | --- | --- |\n\n6) The area of the outer rectangle can be expressed as 5(3 + x) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n3 x  \n\n|  |  |\n| --- | --- |\n\n5  \n7) The area of the outer rectangle can be expressed as 3(2 + 5 + x) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n2 5 x  \n3  \n\n|  |  |  |\n| --- | --- | --- |\n\nKuta Software-Infinite Grade 6 Math Name   \nDistributive Property with Area Diagrams, Algebraic  \nSolve each problem.  \nDate   \nPeriod   \n1) The area of the outer rectangle can be expressed as x(6 + 5) . Can we also express the area as x ´ 6 + x ´ 5?  \n6 5  \n\n|  |  |\n| --- | --- |\n\nx  \nYes  \n3) The area of the outer rectangle can be expressed as 4(5 + 2 + x) . Can we also express the area as 4 + 5 + 2 + x?  \n5 2 x  \n\n|  |  |  |\n| --- | --- | --- |\n\n4  \nNo  \n5) The area of the outer rectangle can be expressed as 3( x + 7) . How can we express express the same area as the sum of the  \nareas of the smaller rectangles? x 7  \n\n|  |  |\n| --- | --- |\n\n3  \n3x + 3 ´ 7  \n7) The area of the outer rectangle can be expressed as 3(2 + 5 + x) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n2 5 x  \n3  \n\n|  |  |  |\n| --- | --- | --- |\n\n2) The area of the outer rectangle can be expressed as x(7 + 3) . Can we also express the area as x ´ 7 ´ 3?  \n7 3  \nx  \n\n|  |  |\n| --- | --- |\n\nNo  \n4) The area of the outer rectangle can be expressed as x(2 + 3 + 5) . Can we also express the area as x ´ 2 + x ´ 3 + x ´ 5?  \n2 3 5  \nx  \n\n|  |  |  |\n| --- | --- | --- |\n\nYes  \n6) The area of the outer rectangle can be expressed as 5(3 + x) . How can we express express the same area as the sum of the areas of the smaller rectangles?  \n3 x  \n\n|  |  |\n| --- | --- |\n\n5  \n5 ´ 3 + 5x  \n3 ´ 2 + 3 ´ 5 + 3x  \nCreate your own worksheets like this one with Infinite Grade 6 Math. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaii0SqaN219px","https://ap.wps.com/l/cbCaii0SqaN219px","pdf",42106,"English","# Solve each problem\n## Area of outer rectangle and equivalent sums","[{\"question\":\"How do these problems use the distributive property with area diagrams?\",\"answer\":\"They treat the outer rectangle area as a product like x(6+5) and ask you to rewrite that product as a sum of smaller rectangle areas.\"},{\"question\":\"What does it mean to answer “Yes” or “No” in these questions?\",\"answer\":\"“Yes” means the alternative expression given represents the same area as the original expression; “No” means it does not match.\"},{\"question\":\"How can you rewrite expressions such as x(2+3+5) into an additive form?\",\"answer\":\"Distribute x to each addend, turning it into x·2 + x·3 + x·5.\"}]","Distributive Property with Area Diagrams, Algebraic - Worksheet | PDF",1791426645]