{"id":24674,"date":"2023-04-01T18:25:06","date_gmt":"2023-04-01T17:25:06","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24674"},"modified":"2023-04-01T18:39:59","modified_gmt":"2023-04-01T17:39:59","slug":"o-terreno-do-pai-da-rita","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24674","title":{"rendered":"O terreno do pai da Rita"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24674' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24674' class='GTTabs_curr'><a  id=\"24674_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24674' ><a  id=\"24674_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_24674'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O pai da Rita dividiu o seu terreno retangular, com 162 m<sup>2<\/sup> de \u00e1rea, em dois terrenos quadrados iguais, um para pomar e outro para plantar batatas.<br \/>Vai colocar uma rede a separar os dois talh\u00f5es quadrados de terreno.<br \/>Se cada metro de rede custar 3 \u20ac, por quanto lhe vai ficar a separa\u00e7\u00e3o do terreno?<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24675\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24675\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png\" data-orig-size=\"458,231\" 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_Pag145-11\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png\" class=\"aligncenter wp-image-24675\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11-300x151.png\" alt=\"\" width=\"340\" height=\"171\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11-300x151.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png 458w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24674' onClick='GTTabs_show(1,24674)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24674'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>O pai da Rita dividiu o seu terreno retangular, com 162 m<sup>2<\/sup> de \u00e1rea, em dois terrenos quadrados iguais, um para pomar e outro para plantar batatas.<br \/>Vai colocar uma rede a separar os dois talh\u00f5es quadrados de terreno.<br \/>Se cada metro de rede custar 3 \u20ac, por quanto lhe vai ficar a separa\u00e7\u00e3o do terreno?<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24675\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24675\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png\" data-orig-size=\"458,231\" 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_Pag145-11\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png\" class=\"aligncenter wp-image-24675\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11-300x151.png\" alt=\"\" width=\"340\" height=\"171\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11-300x151.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11.png 458w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<p>\u00a0<\/p>\n<p>Designemos por \\(x\\) a largura do terreno, em metros.<\/p>\n<p>Equacionando o problema e resolvendo a equa\u00e7\u00e3o, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{x \\times 2x = 162}&amp; \\Leftrightarrow &amp;{2{x^2} = 162}\\\\{}&amp; \\Leftrightarrow &amp;{{x^2} = 81}\\\\{}&amp; \\Leftrightarrow &amp;{\\begin{array}{*{20}{c}}{x = &#8211; 9}&amp; \\vee &amp;{x = 9}\\end{array}}\\end{array}\\]<\/p>\n<p>Ora, como \\(x &gt; 0\\), ent\u00e3o o terreno tem 9 metros de largura.<\/p>\n<p>Por isso, o custo da rede para efetuar a separa\u00e7\u00e3o do terreno ser\u00e1 de 27 euros.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24674' onClick='GTTabs_show(0,24674)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O pai da Rita dividiu o seu terreno retangular, com 162 m2 de \u00e1rea, em dois terrenos quadrados iguais, um para pomar e outro para plantar batatas.Vai colocar uma rede a&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24676,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,706,198,705],"series":[],"class_list":["post-24674","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","tag-polinomios"],"views":78,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag145-11_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24674","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=24674"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24674\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24676"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24674"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24674"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24674"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}