[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-478016-105":59,"doc-detail-478016-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","partitioning-rectangles-answers-counting-boxes","Partitioning Rectangles - Answers - Counting boxes","","Partitioning Rectangles provides a set of counting and partitioning tasks where a grid shape is described by rows and columns. Students divide rectangles according to the given dimensions and then count the number of boxes. The worksheet specifies row direction (left to right) and column direction (up and down), and includes a corresponding answer key listing the computed box counts for each item.",{"@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/partitioning-rectangles-answers-counting-boxes/478016/",{"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/partitioning-rectangles-answers-counting-boxes/478016.png","ImageObject",300,407,{"name":92,"@type":93},"Dipper","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine the number of boxes in each partitioning problem?","Question",{"text":112,"@type":113},"Use the given row and column counts to form the grid, then count the resulting boxes in the rectangle.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What directions do the worksheet use for rows and columns?",{"text":117,"@type":113},"Rows go left to right, and columns go up and down.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the worksheet include an answer key?",{"text":121,"@type":113},"Yes. An answer key is provided with the box totals for each numbered question.","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},478016,1792855389,{"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":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},1374404997633,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Partitioning Rectangles  \nName:  \n\n| Partition the shape as described and then count to find the number of boxes.\u003Cbr>\u003Cbr> This has 4 rows and 5 \u003Cbr>Rows go left to right. Columns go up and down. columns.\u003Cbr>There are 20 boxes total.\u003Cbr>\u003Cbr>|  |  |  |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1) 3 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>4) 5 rows\u003Cbr>4 columns\u003Cbr>\u003Cbr>7) 2 rows\u003Cbr>4 columns\u003Cbr>| 2) 2 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>5) 2 rows\u003Cbr>5 columns\u003Cbr>\u003Cbr>8) 4 rows\u003Cbr>4 columns\u003Cbr>| 3) 4 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>6) 3 rows\u003Cbr>2 columns\u003Cbr>\u003Cbr>9) 5 rows\u003Cbr>3 columns\u003Cbr>|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-9 |  |  | 89 | 78 | 67 | 56 | 44 |  | 33 | 22 | 11 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nPartitioning Rectangles  \nName: Answer Key  \n\n| Partition the shape as described and then count to find the number of boxes.\u003Cbr>\u003Cbr> This has 4 rows and 5 \u003Cbr>Rows go left to right. Columns go up and down. columns.\u003Cbr>There are 20 boxes total.\u003Cbr>\u003Cbr>|  |  | Answers 1.  9  2.  6  3.  12  4.  20  5.  10  6.  6  7.  8  8.  16  9.  15  |\n| --- | --- | --- | --- |\n| 1) 3 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>4) 5 rows\u003Cbr>4 columns\u003Cbr>\u003Cbr>7) 2 rows\u003Cbr>4 columns\u003Cbr> | 2) 2 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>5) 2 rows\u003Cbr>5 columns\u003Cbr>\u003Cbr>8) 4 rows\u003Cbr>4 columns\u003Cbr> | 3) 4 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>6) 3 rows\u003Cbr>2 columns\u003Cbr>\u003Cbr>9) 5 rows\u003Cbr>3 columns\u003Cbr> |  |\n\n[Math](Math www.CommonCoreSheets.com 9 1-9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9 1-9)[ 9](Math www.CommonCoreSheets.com 9 1-9)[ 1-9](Math www.CommonCoreSheets.com 9 1-9) 89 78 67 56 44 33 22 11 0  \n\n|  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nPartitioning Rectangles  \nName:  \n\n| Partition the shape as described and then count to find the number of boxes.\u003Cbr>\u003Cbr> This has 4 rows and 5 \u003Cbr>Rows go left to right. Columns go up and down. columns.\u003Cbr>There are 20 boxes total.\u003Cbr>\u003Cbr>|  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |\n| --- | --- | --- | --- |\n| 1) 3 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>4) 5 rows\u003Cbr>4 columns\u003Cbr>| 2) 2 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>5) 2 rows\u003Cbr>5 columns\u003Cbr>| 3) 4 rows\u003Cbr>3 columns\u003Cbr>\u003Cbr>6) 3 rows\u003Cbr>2 columns\u003Cbr>|  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-6  83  67  50  33  17  0","cbCaibjfV5n80Y2r","https://ap.wps.com/l/cbCaibjfV5n80Y2r","pdf",55036,"English","# Partition the shape\n## Row and column directions\n## Count the boxes\n## Answer key","[{\"question\":\"How do you determine the number of boxes in each partitioning problem?\",\"answer\":\"Use the given row and column counts to form the grid, then count the resulting boxes in the rectangle.\"},{\"question\":\"What directions do the worksheet use for rows and columns?\",\"answer\":\"Rows go left to right, and columns go up and down.\"},{\"question\":\"Does the worksheet include an answer key?\",\"answer\":\"Yes. An answer key is provided with the box totals for each numbered question.\"}]","Partitioning Rectangles - Answers - Counting boxes | PDF",1790790779]