{"id":249,"date":"2022-04-13T10:27:43","date_gmt":"2022-04-13T10:27:43","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=249"},"modified":"2025-02-10T09:08:37","modified_gmt":"2025-02-10T09:08:37","slug":"m-4-area-and-perimeter-in-the-coordinate-plane-i","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/m-4-area-and-perimeter-in-the-coordinate-plane-i\/","title":{"rendered":"M.4 Area and perimeter in the coordinate plane I"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Area and perimeter in the coordinate plane I<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-large-font-size\">Area of a square:<br>Area=s<sup>2<\/sup><\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c7e1ee\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-6d4805da099bd1aa6c09ff2cb947930b\" style=\"color:#b00012\"><strong>\u2708\ufe0f What is the perimeter of square STUV?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-55-1.png\" alt=\"\" class=\"wp-image-12010\" style=\"aspect-ratio:0.9663299663299664;width:426px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-55-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-55-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-55-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-55-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p>Area= _____ square units<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the graph of square STUV to find the coordinates of the vertices.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview.png\" alt=\"\" class=\"wp-image-12011\" style=\"aspect-ratio:1.178988326848249;width:482px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>To find the area of square STUV, first calculate its side length. Then, plug this value into the formula for the area of a square.<\/li>\n\n\n\n<li>Step 1: Find the side length.<\/li>\n\n\n\n<li>All sides of a square have the same length. So, pick any of the four sides.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-12012\" style=\"aspect-ratio:1.0966666666666667;width:465px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__56_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>The distance between the vertices S(1,\u20139) and T(1,1) is the side length of the square.<\/li>\n\n\n\n<li>Since S(1,\u20139) and T(1,1) have the same x-coordinate, ST is the absolute value of the difference in the y-coordinates, which is |\u20139\u20131|=10. So, the length is 10.<\/li>\n\n\n\n<li>Step 2: Find the area.<\/li>\n\n\n\n<li>Now, plug in the value for the side length into the formula for the area of a square.<\/li>\n\n\n\n<li>Area of a square<\/li>\n\n\n\n<li>= s<sup>2<\/sup><\/li>\n\n\n\n<li>= 102 Plug in s=10<\/li>\n\n\n\n<li>= 100 Square<\/li>\n\n\n\n<li>So, the area of square STUV is 100 square units.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#bff2cc\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-a0c18a5ee8bfde2c20b831fa1afadf09\" style=\"color:#b00012\"><strong>\u2708\ufe0f What is the perimeter of square EFGH?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-57-1.png\" alt=\"\" class=\"wp-image-12013\" style=\"aspect-ratio:1.0211267605633803;width:423px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-57-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-57-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-57-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-57-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p>Perimeter= _____ units<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the graph of square EFGH to find the coordinates of the vertices.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__58_-removebg-preview.png\" alt=\"\" class=\"wp-image-12014\" style=\"aspect-ratio:1.2166666666666666;width:540px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__58_-removebg-preview.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__58_-removebg-preview-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__58_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>To find the perimeter of square EFGH, first calculate its side length. Then, plug this value into the formula for the perimeter of a square.<\/li>\n\n\n\n<li>Step 1: Find the side length.<\/li>\n\n\n\n<li>All sides of a square have the same length. So, pick any of the four sides.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__60_-removebg-preview.png\" alt=\"\" class=\"wp-image-12015\" style=\"aspect-ratio:1.2414965986394557;width:504px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__60_-removebg-preview.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__60_-removebg-preview-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__60_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ul class=\"wp-block-list\">\n<li>The distance between the vertices E(10,\u2013 4) and F(\u20132,\u20134) is the side length of the square.<\/li>\n\n\n\n<li>Since E(10,\u20134) and F(\u20132,\u20134) have the same y-coordinate, EF is the absolute value of the difference in the x-coordinates, which is |10\u2013 \u20132|=12. So, the length is 12.<\/li>\n\n\n\n<li>Step 2: Find the perimeter.<\/li>\n\n\n\n<li>Now, plug in the value for the side length into the formula for the perimeter of a square.<\/li>\n\n\n\n<li>Perimeter of a square<\/li>\n\n\n\n<li>= 4s<\/li>\n\n\n\n<li>= 4(12) Plug in s=12<\/li>\n\n\n\n<li>= 48 Multiply<\/li>\n\n\n\n<li>So, the perimeter of square EFGH is 48 units.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d6bee7\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-4309454285099fd2a723fb7478542c82\" style=\"color:#b00012\"><strong>\u2708\ufe0f What is the perimeter of square BCDE?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-61-1.png\" alt=\"\" class=\"wp-image-12017\" style=\"aspect-ratio:0.9333333333333333;width:377px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-61-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-61-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-61-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-61-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p>Perimeter= ________ units<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the graph of square BCDE to find the coordinates of the vertices.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview.png\" alt=\"\" class=\"wp-image-12019\" style=\"aspect-ratio:1.01;width:450px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>To find the perimeter of square BCDE, first calculate its side length. Then, plug this value into the formula for the perimeter of a square.<\/li>\n\n\n\n<li>Step 1: Find the side length.<\/li>\n\n\n\n<li>All sides of a square have the same length. So, pick any of the four sides.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-12020\" style=\"aspect-ratio:1.02;width:416px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1__62_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>The distance between the vertices B(6,3) and C(3,3) is the side length of the square.<\/li>\n\n\n\n<li>Since B(6,3) and C(3,3) have the same y-coordinate, BC is the absolute value of the difference in the x-coordinates, which is |6\u20133|=3. So, the length is 3.<\/li>\n\n\n\n<li>Step 2: Find the perimeter.<\/li>\n\n\n\n<li>Now, plug in the value for the side length into the formula for the perimeter of a square.<\/li>\n\n\n\n<li>Perimeter of a square<\/li>\n\n\n\n<li>= 4s<\/li>\n\n\n\n<li>= 4(3) Plug in s=3<\/li>\n\n\n\n<li>= 12 Multiply<\/li>\n\n\n\n<li>So, the perimeter of square BCDE is 12 units.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/86437\/206\/402\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76.png\" alt=\"\" class=\"wp-image-7061\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-76-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/37983\/656\/328\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94.png\" alt=\"\" class=\"wp-image-7062\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Area and perimeter in the coordinate plane I Key Notes : Area of a square:Area=s2 Learn with an example \u2708\ufe0f What is the perimeter of square STUV? Area= _____ square units \u2708\ufe0f What is the perimeter of square EFGH? Perimeter= _____ units \u2708\ufe0f What is the perimeter of square BCDE? Perimeter= ________ units Let&#8217;s practice!<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-249","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/249","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=249"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/249\/revisions"}],"predecessor-version":[{"id":17518,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/249\/revisions\/17518"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}