{"id":24580,"date":"2023-03-10T10:08:04","date_gmt":"2023-03-10T10:08:04","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24580"},"modified":"2023-04-01T13:53:32","modified_gmt":"2023-04-01T12:53:32","slug":"soma-das-areas-de-quatro-figuras","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24580","title":{"rendered":"Soma das \u00e1reas de quatro figuras"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24580' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24580' class='GTTabs_curr'><a  id=\"24580_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24580' ><a  id=\"24580_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_24580'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Mostra que a soma das \u00e1reas das quatro figuras seguintes \u00e9 igual \u00e0 \u00e1rea de um quadrado.<br \/>Quanto medir\u00e1 o lado do quadrado?<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24581\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24581\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png\" data-orig-size=\"436,315\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8Pag139-6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png\" class=\"aligncenter wp-image-24581\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6-300x217.png\" alt=\"\" width=\"360\" height=\"260\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6-300x217.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png 436w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24580' onClick='GTTabs_show(1,24580)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24580'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Mostra que a soma das \u00e1reas das quatro figuras seguintes \u00e9 igual \u00e0 \u00e1rea de um quadrado.<br \/>Quanto medir\u00e1 o lado do quadrado?<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24581\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24581\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png\" data-orig-size=\"436,315\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8Pag139-6\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png\" class=\"aligncenter wp-image-24581\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6-300x217.png\" alt=\"\" width=\"360\" height=\"260\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6-300x217.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6.png 436w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p>\u00a0<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{A_{TOTAL}}}&amp; = &amp;{{A_{Rosa}} + {A_{Verde}} + {A_{Laranja}} + {A_{Azul}}}\\\\{}&amp; = &amp;{\\frac{{\\left( {x + 2} \\right) + 2}}{2} \\times 1 + \\frac{{\\left( {x + 2} \\right)x}}{2} + \\frac{{\\left( {x + 2} \\right)\\left( {x + 1} \\right)}}{2} + \\frac{{2\\left( {x + 1} \\right)}}{2}}\\\\{}&amp; = &amp;{\\frac{1}{2}\\left( {x + 4 + {x^2} + 2x + {x^2} + x + 2x + 2 + 2x + 2} \\right)}\\\\{}&amp; = &amp;{\\frac{1}{2}\\left( {2{x^2} + 8x + 8} \\right)}\\\\{}&amp; = &amp;{{x^2} + 4x + 4}\\\\{}&amp; = &amp;{{{\\left( {x + 2} \\right)}^2}}\\end{array}\\]<\/p>\n<p>A soma das \u00e1reas das quatro figuras \u00e9 igual \u00e0 \u00e1rea de um quadrado com \\({x + 2}\\) unidades de medida de lado.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24580' onClick='GTTabs_show(0,24580)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Mostra que a soma das \u00e1reas das quatro figuras seguintes \u00e9 igual \u00e0 \u00e1rea de um quadrado.Quanto medir\u00e1 o lado do quadrado? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":24582,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,197,705],"series":[],"class_list":["post-24580","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-decomposicao-em-factores","tag-polinomios"],"views":77,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag139-6_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24580","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24580"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24580\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24582"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24580"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}