{"id":150,"date":"2022-04-13T10:10:18","date_gmt":"2022-04-13T10:10:18","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=150"},"modified":"2025-01-18T05:43:45","modified_gmt":"2025-01-18T05:43:45","slug":"h-5-add-polynomials-to-find-perimeter","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/h-5-add-polynomials-to-find-perimeter\/","title":{"rendered":"H.5 Add polynomials to find perimeter"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong> Add polynomials to find the perimeter<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4dde4300b7763c9a2a860fe18546dfe2\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li class=\"has-large-font-size\"><strong>Understanding Polynomials:<\/strong>\n<ul class=\"wp-block-list\">\n<li>A polynomial is an algebraic expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication, but not division by a variable.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Perimeter of Geometric Figures:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Perimeter is the total length of the boundary of a geometric figure.<\/li>\n\n\n\n<li>For rectangles and squares, the perimeter is the sum of all four sides.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Expressing Perimeter with Polynomials:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Express the algebraic expressions representing the lengths of the sides of a geometric figure as polynomials.<\/li>\n\n\n\n<li>For example, if the length of a rectangle is represented by 2\ufffd+32<em>x<\/em>+3 and the width by \ufffd+2<em>x<\/em>+2, the perimeter is the sum of all four sides: 2(2\ufffd+3)+2(\ufffd+2)2(2<em>x<\/em>+3)+2(<em>x<\/em>+2).<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Combine Like Terms:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Combine like terms within the polynomial expression to simplify it.<\/li>\n\n\n\n<li>In the example above, combine 2\ufffd2<em>x<\/em> and 2\ufffd2<em>x<\/em> to get 4\ufffd4<em>x<\/em>, and combine constants 33 and 22 to get 55.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Finding the Final Perimeter:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Once the polynomial expression is simplified, it represents the perimeter of the geometric figure in terms of the variable.<\/li>\n\n\n\n<li>Substitute specific values for the variable to find the numerical value of the perimeter.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Examples:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Work through examples involving rectangles, squares, or other geometric shapes where the lengths of the sides are represented by polynomial expressions.<\/li>\n\n\n\n<li>Practice combining like terms and finding the perimeter.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Word Problems:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Apply the concept to solve real-world word problems. For instance, find the perimeter of a rectangular garden given the algebraic expressions representing its dimensions.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Review:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Emphasize the importance of reviewing the steps: representing sides as polynomials, combining like terms, and simplifying to find the perimeter.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Extension:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Explore extending the concept to more complex shapes, such as irregular polygons, by breaking them into simpler shapes and applying the same principles.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Practice:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Provide ample opportunities for practice to reinforce the concept. Include a variety of shapes and expressions to ensure a comprehensive understanding.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\">Learn with an example<\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#acf2bb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-545c2bc609656f1b12c0bb34e35db392\" style=\"color:#b00012\">\u27a1\ufe0f Find&nbsp;the perimeter. <\/p>\n\n\n\n<p>Simplify your&nbsp;answer.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-200-\u00d7-500px-1.png\" alt=\"\" class=\"wp-image-3399\" style=\"width:106px;height:265px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-200-\u00d7-500px-1.png 200w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-200-\u00d7-500px-1-120x300.png 120w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Add&nbsp;the side&nbsp;lengths.<\/p>\n\n\n\n<p>v + 1 + v + 1<\/p>\n\n\n\n<p>(v + v) + (1 + 1)                  Group&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>2v + 2                              Combine&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>The perimeter is 2v + 2.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#de8c8c\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-545c2bc609656f1b12c0bb34e35db392\" style=\"color:#b00012\">\u27a1\ufe0f Find&nbsp;the perimeter. <\/p>\n\n\n\n<p>Simplify your&nbsp;answer.<\/p>\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\/2023\/01\/Untitled-500-\u00d7-500px-2.png\" alt=\"\" class=\"wp-image-3400\" style=\"width:244px;height:244px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-2.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-2-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Add&nbsp;the side&nbsp;lengths.<\/p>\n\n\n\n<p>p + p + p + p<\/p>\n\n\n\n<p>4p             Combine&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>The perimeter is 4p.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#9eecea\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-545c2bc609656f1b12c0bb34e35db392\" style=\"color:#b00012\">\u27a1\ufe0f Find&nbsp;the perimeter. <\/p>\n\n\n\n<p>Simplify your&nbsp;answer.<\/p>\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\/2023\/01\/Untitled-500-\u00d7-500px-3.png\" alt=\"\" class=\"wp-image-3401\" style=\"width:241px;height:241px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-3.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-3-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-500-\u00d7-500px-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Add&nbsp;the side&nbsp;lengths.<\/p>\n\n\n\n<p>6 + c + (c \u2013 1)<\/p>\n\n\n\n<p>(c + c) + (6 \u2013 1)            Group&nbsp;like&nbsp;terms<\/p>\n\n\n\n<p>2c + 5                      Combine like terms<\/p>\n\n\n\n<p>The perimeter is 2c + 5.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!\ud83d\udd8a\ufe0f<\/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\/85167\/340\/769\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32.png\" alt=\"\" class=\"wp-image-6835\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-32-150x150.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\/37879\/504\/609\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50.png\" alt=\"\" class=\"wp-image-6836\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add polynomials to find the perimeter key notes: Learn with an example \u27a1\ufe0f Find&nbsp;the perimeter. Simplify your&nbsp;answer. Add&nbsp;the side&nbsp;lengths. v + 1 + v + 1 (v + v) + (1 + 1) Group&nbsp;like&nbsp;terms 2v + 2 Combine&nbsp;like&nbsp;terms The perimeter is 2v + 2. \u27a1\ufe0f Find&nbsp;the perimeter. Simplify your&nbsp;answer. Add&nbsp;the side&nbsp;lengths. p + p +<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/h-5-add-polynomials-to-find-perimeter\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.5 Add polynomials to find perimeter&#8221;<\/span><\/a><\/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-150","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/150","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=150"}],"version-history":[{"count":12,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/150\/revisions"}],"predecessor-version":[{"id":17417,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/150\/revisions\/17417"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}