{"id":24811,"date":"2023-04-04T11:13:14","date_gmt":"2023-04-04T10:13:14","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24811"},"modified":"2023-04-04T11:41:50","modified_gmt":"2023-04-04T10:41:50","slug":"o-manuel-quer-construir-uma-calcada","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24811","title":{"rendered":"O Manuel quer construir uma cal\u00e7ada"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24811' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24811' class='GTTabs_curr'><a  id=\"24811_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24811' ><a  id=\"24811_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_24811'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>\u00c0 volta do canteiro quadrado das rosas, o Manuel quer construir uma cal\u00e7ada com 3 m de largura.<br \/>Quando foi comprar as lajes para a cal\u00e7ada viu que esta tinha 33 m<sup>2<\/sup> de \u00e1rea.<br \/>Qual \u00e9 a \u00e1rea do terreno destinado \u00e0s rosas? Explica a tua resposta.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24812\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24812\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png\" data-orig-size=\"383,325\" 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=\"8_Pag148-19\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png\" class=\"aligncenter wp-image-24812\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19-300x255.png\" alt=\"\" width=\"320\" height=\"272\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19-300x255.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png 383w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24811' onClick='GTTabs_show(1,24811)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24811'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>\u00c0 volta do canteiro quadrado das rosas, o Manuel quer construir uma cal\u00e7ada com 3 m de largura.<br \/>Quando foi comprar as lajes para a cal\u00e7ada viu que esta tinha 33 m<sup>2<\/sup> de \u00e1rea.<br \/>Qual \u00e9 a \u00e1rea do terreno destinado \u00e0s rosas? Explica a tua resposta.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24812\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24812\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png\" data-orig-size=\"383,325\" 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=\"8_Pag148-19\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png\" class=\"aligncenter wp-image-24812\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19-300x255.png\" alt=\"\" width=\"320\" height=\"272\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19-300x255.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19.png 383w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p>\u00a0<\/p>\n<p>Sintetizando os dados, temos:<\/p>\n<ul>\n<li>\u00c1rea do canteiro quadrado das rosas, em m<sup>2<\/sup>: \\({x^2}\\)<\/li>\n<li>\u00c1rea da cal\u00e7ada, em m<sup>2<\/sup>: \\(33\\)<\/li>\n<li>\u00c1rea do terreno quadrado que incluiu o canteiro das rosas e a cal\u00e7ada: \\({\\left( {x + 3} \\right)^2}\\)<\/li>\n<\/ul>\n<p>Equacionando o problema e resolvendo a equa\u00e7\u00e3o, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{{\\left( {x + 3} \\right)}^2} = {x^2} + 33}&amp; \\Leftrightarrow &amp;{{x^2} + 6x + 9 = {x^2} + 33}\\\\{}&amp; \\Leftrightarrow &amp;{6x = 24}\\\\{}&amp; \\Leftrightarrow &amp;{x = 4}\\end{array}\\]<\/p>\n<p>Portanto, o terreno destinado \u00e0s rosas tem 16 m<sup>2<\/sup> de \u00e1rea.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24811' onClick='GTTabs_show(0,24811)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado \u00c0 volta do canteiro quadrado das rosas, o Manuel quer construir uma cal\u00e7ada com 3 m de largura.Quando foi comprar as lajes para a cal\u00e7ada viu que esta tinha 33 m2&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24813,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[100,97,700],"tags":[424,706,198],"series":[],"class_list":["post-24811","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-equacao-incompleta-do-2-o-grau","tag-lei-do-anulamento-do-produto"],"views":73,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag148-19_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24811","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=24811"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24811\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24813"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24811"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}