{"id":24525,"date":"2023-03-07T18:35:57","date_gmt":"2023-03-07T18:35:57","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24525"},"modified":"2023-03-07T19:20:03","modified_gmt":"2023-03-07T19:20:03","slug":"o-comprimento-do-lado-do-quadrado-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24525","title":{"rendered":"O comprimento do lado do quadrado"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24525' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24525' class='GTTabs_curr'><a  id=\"24525_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24525' ><a  id=\"24525_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_24525'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Ao aumentar em 5 m o lado de um quadrado, a sua \u00e1rea aumenta em 75 m<sup>2<\/sup>.<br \/>Qual \u00e9 o comprimento do lado do quadrado inicial?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24525' onClick='GTTabs_show(1,24525)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24525'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag136-3.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24527\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24527\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag136-3.png\" data-orig-size=\"696,656\" 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=\"8Pag136-3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag136-3.png\" class=\"aligncenter wp-image-24527\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag136-3-300x283.png\" alt=\"\" width=\"320\" height=\"302\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag136-3-300x283.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/03\/8Pag136-3.png 696w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p>Como a diferen\u00e7a de \u00e1reas dos dois quadrados \u00e9 75 m<sup>2<\/sup>, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{{\\left( {x + 5} \\right)}^2} &#8211; {x^2} = 75}&amp; \\Leftrightarrow &amp;{{x^2} + 10x + 25 &#8211; {x^2} = 75}\\\\{}&amp; \\Leftrightarrow &amp;{10x = 75 &#8211; 25}\\\\{}&amp; \\Leftrightarrow &amp;{10x = 50}\\\\{}&amp; \\Leftrightarrow &amp;{x = 5}\\end{array}\\]<\/p>\n<p>Portanto, o lado do quadrado inicial tem 5 m de comprimento.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24525' onClick='GTTabs_show(0,24525)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Ao aumentar em 5 m o lado de um quadrado, a sua \u00e1rea aumenta em 75 m2.Qual \u00e9 o comprimento do lado do quadrado inicial? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14103,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,196,194],"series":[],"class_list":["post-24525","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-casos-notaveis","tag-monomios"],"views":129,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat48.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24525","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=24525"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24525\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24525"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24525"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24525"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}