[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523275-105":59,"doc-detail-523275-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","polygons-on-a-grid-or-coordinate-plane-find-the-area","Polygons on a Grid or Coordinate Plane - Find the Area","","Grade 6 geometry worksheet focused on finding polygon areas on a grid or coordinate plane. Each grid square represents one square unit, and students compute the area for multiple polygons. Problems include polygons defined by vertex coordinates such as A(3, 3), B(5, 7), C(7, 7), D(8, 3), and other sets with both positive and negative coordinates. Students are instructed to sketch each polygon on the coordinate plane before calculating its area in square units.",{"@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/polygons-on-a-grid-or-coordinate-plane-find-the-area/523275/",{"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/polygons-on-a-grid-or-coordinate-plane-find-the-area/523275.png","ImageObject",300,407,{"name":92,"@type":93},"Ben ","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each grid square represent on this worksheet?","Question",{"text":112,"@type":113},"Each square on the grid represents one square unit, so the polygon’s area is counted in square units (units²).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you determine the polygon to calculate?",{"text":117,"@type":113},"Use the coordinate plane to sketch the polygon described by the set of vertices, then use that sketch to find the area.",{"name":119,"@type":110,"acceptedAnswer":120},"Are vertices allowed to have negative coordinates?",{"text":121,"@type":113},"Yes. Some problems include vertices with negative x- or y-values, and the polygon area is still found using the grid square unit rule.","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},523275,1791497144,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},2336478951081,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Grade 6 Math Name___________________________________  \nPolygons on a Grid or Coordinate Plane Date________________ Period____  \nFind the area of each polygon. Each square on the grid represents one square unit.  \n1) 2)  \n3) 4)  \nFind the area of each polygon.  \n5)  \n10  \n9  \n8  \n7  \n6  \n5  \n4  \n3  \n2  \n1  \n1 2 3 4 5 6 7 8 9 10 x  \n6)  \n1 2 3 4 5 6 7 8 9 10 x  \n7)  \n10  \n9  \n8  \n7  \n6  \n5  \n4  \n3  \n2  \n1  \n8)  \n1 2 3 4 5 6 7 8 9 10 x  \nFor each problem, find the area of the polygon described by the set of vertices. Use the coordinate plane to sketch the polygon.  \n9) Vertices: A(3, 3), B(5, 7), C(7, 7), D(8, 3)  \n\n|  y |  |  |  |  |  |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 10 |  |  |  |  |  |  |  |  |  |  |\n| 9 |  |  |  |  |  |  |  |  |  |  |\n| 8 |  |  |  |  |  |  |  |  |  |  |\n| 7 |  |  |  |  |  |  |  |  |  |  |\n| 6 |  |  |  |  |  |  |  |  |  |  |\n| 5 |  |  |  |  |  |  |  |  |  |  |\n| 4 |  |  |  |  |  |  |  |  |  |  |\n| 3 |  |  |  |  |  |  |  |  |  |  |\n| 2 |  |  |  |  |  |  |  |  |  |  |\n| 1 |  |  |  |  |  |  |  |  |  |  |\n\n1 2 3 4 5 6 7 8 9 10 x  \n11) Vertices: A(0, 0), B(-3, 2), C(0, 4), D(3, 2), E(0, 2)  \n\n| |  |  |  |  |  | y |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| |  |  |  |  | 5 |  |  |  |  |  |  |\n|  |  |  |  |  | 4 |  |  |  |  |  |  |\n|  |  |  |  |  | 3 |  |  |  |  |  |  |\n|  |  |  |  |  | 2 |  |  |  |  |  |  |\n|  |  |  |  |  | 1 |  |  |  |  |  |  |\n| - | 5 - | 4 - | 3 - | 2 - | 1 |  | 1 | 2 | 3 | 4 | 5 x |\n|  |  |  |  |  | -1 |  |  |  |  |  |  |\n|  |  |  |  |  | -2 |  |  |  |  |  |  |\n|  |  |  |  |  | -3 |  |  |  |  |  |  |\n|  |  |  |  |  | -4 |  |  |  |  |  |  |\n| -5 |  |  |  |  |  |  |  |  |  |  |  |\n\n10) Vertices: A(3, 5), B(2, 8), C(9, 8), D(8, 5), E (4, 7)  \n\n|  y |  |  |  |  |  |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 10 |  |  |  |  |  |  |  |  |  |  |\n| 9 |  |  |  |  |  |  |  |  |  |  |\n| 8 |  |  |  |  |  |  |  |  |  |  |\n| 7 |  |  |  |  |  |  |  |  |  |  |\n| 6 |  |  |  |  |  |  |  |  |  |  |\n| 5 |  |  |  |  |  |  |  |  |  |  |\n| 4 |  |  |  |  |  |  |  |  |  |  |\n| 3 |  |  |  |  |  |  |  |  |  |  |\n| 2 |  |  |  |  |  |  |  |  |  |  |\n| 1 |  |  |  |  |  |  |  |  |  |  |\n\n1 2 3 4 5 6 7 8 9 10 x  \n12) Vertices: A(-1, 4), B(2, 3), C(2, -4), D (-1, -3), E(-1, -2), F(-4, -3), G(-4, 2), H (-1, 3)  \n\n| |  |  |  |  |  | y |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| |  |  |  |  | 5 |  |  |  |  |  |  |\n|  |  |  |  |  | 4 |  |  |  |  |  |  |\n|  |  |  |  |  | 3 |  |  |  |  |  |  |\n|  |  |  |  |  | 2 |  |  |  |  |  |  |\n|  |  |  |  |  | 1 |  |  |  |  |  |  |\n| - | 5 - | 4 - | 3 - | 2 - | 1 |  | 1 | 2 | 3 | 4 | 5 x |\n|  |  |  |  |  | -1 |  |  |  |  |  |  |\n|  |  |  |  |  | -2 |  |  |  |  |  |  |\n|  |  |  |  |  | -3 |  |  |  |  |  |  |\n|  |  |  |  |  | -4 |  |  |  |  |  |  |\n| -5 |  |  |  |  |  |  |  |  |  |  |  |\n\nGrade 6 Math Name   \nPolygons on a Grid or Coordinate Plane Date  Period   \nFind the area of each polygon. Each square on the grid represents one square unit.  \n1)  \n24 units² 3)  \n19 units²  \n2)  \n10 units² 4)  \n7 units²  \nFind the area of each polygon.  \n5)  \n10  \n9  \n8  \n7  \n6  \n5  \n4  \n3  \n2  \n1  \n1 2 3 4 5 6 7 8 9 10 x  \n39 units²  \n6)  \n1 2 3 4 5 6 7 8 9 10 x  \n23 units²  \n7)  \n10  \n9  \n8  \n7  \n6  \n5  \n4  \n3  \n2  \n1  \n1 2 3 4 5 6 7 8 9 10 x  \n22 units²  \n8)  \n1 2 3 4 5 6 7 8 9 10 x  \n20 units²  \nFor each problem, find the area of the polygon described by the set of vertices. Use the coordinate plane to sketch the polygon.  \n9) Vertices: A(3, 3), B(5, 7), C(7, 7), D(8, 3)  \n\n|  y |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 10 |  |  |  |  |  |  |  |  |  |  |\n| 9 |  |  |  |  |  |  |  |  |  |  |\n| 8 |  |  |  | B |  |  | C |  |  |  |\n| 7 |  |  |  |  |  |  |  |  |  |  |\n| 6 |  |  |  |  |  |  |  |  |  |  |\n| 5 |  |  |  |  |  |  |  |  |  |  |\n| 4 |  |  |  |  |  |  |  |  ","cbCaik3GO07x1jmE","https://ap.wps.com/l/cbCaik3GO07x1jmE","pdf",66980,"English","# Find the area of each polygon\n## Grid square unit rule\n## Problems defined by vertex coordinates","[{\"question\":\"What does each grid square represent on this worksheet?\",\"answer\":\"Each square on the grid represents one square unit, so the polygon’s area is counted in square units (units²).\"},{\"question\":\"How do you determine the polygon to calculate?\",\"answer\":\"Use the coordinate plane to sketch the polygon described by the set of vertices, then use that sketch to find the area.\"},{\"question\":\"Are vertices allowed to have negative coordinates?\",\"answer\":\"Yes. Some problems include vertices with negative x- or y-values, and the polygon area is still found using the grid square unit rule.\"}]","Polygons on a Grid or Coordinate Plane - Find the Area | PDF",1791426678]