{"id":11384,"date":"2012-11-15T21:25:58","date_gmt":"2012-11-15T21:25:58","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11384"},"modified":"2022-01-20T14:19:38","modified_gmt":"2022-01-20T14:19:38","slug":"um-jardim-dividido-em-tres-quadrados-iguais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11384","title":{"rendered":"Um jardim dividido em tr\u00eas quadrados iguais"},"content":{"rendered":"<p><ul id='GTTabs_ul_11384' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11384' class='GTTabs_curr'><a  id=\"11384_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11384' ><a  id=\"11384_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_11384'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11387\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11387\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\" data-orig-size=\"176,176\" 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;}\" data-image-title=\"Jardim\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\" class=\"alignright wp-image-11387 size-full\" title=\"Jardim\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\" alt=\"\" width=\"176\" height=\"176\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg 176w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim-150x150.jpg 150w\" sizes=\"auto, (max-width: 176px) 100vw, 176px\" \/><\/a>Uma casa tem um jardim com $2223$ m2 de \u00e1rea.<\/p>\n<p>O jardim est\u00e1 dividido em tr\u00eas partes quadradas iguais.<\/p>\n<p>Qual a menor quantidade de rede, em metros, necess\u00e1ria para vedar o jardim?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11384' onClick='GTTabs_show(1,11384)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11384'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11387\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11387\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\" data-orig-size=\"176,176\" 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;}\" data-image-title=\"Jardim\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\" class=\"alignright wp-image-11387 size-full\" title=\"Jardim\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg\" alt=\"\" width=\"176\" height=\"176\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim.jpg 176w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/jardim-150x150.jpg 150w\" sizes=\"auto, (max-width: 176px) 100vw, 176px\" \/><\/a>Cada uma das partes em que est\u00e1 dividido igualmente o jardim tem $\\frac{{2223}}{3} = 741$ m<sup>2<\/sup> de \u00e1rea.<\/p>\n<p>Como cada uma dessas partes \u00e9 quadrada, o comprimento do lado \u00e9 $l = \\sqrt {741} $ m.<\/p>\n<p>Para vedar o jardim ser\u00e1 necess\u00e1rio $8 \\times \\sqrt {741} $ m.<\/p>\n<p>Esse valor, com aproxima\u00e7\u00e3o ao metro, \u00e9 218 m, pois $8 \\times \\sqrt {741}\u00a0 \\approx 217,77$.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11384' onClick='GTTabs_show(0,11384)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma casa tem um jardim com $2223$ m2 de \u00e1rea. O jardim est\u00e1 dividido em tr\u00eas partes quadradas iguais. Qual a menor quantidade de rede, em metros, necess\u00e1ria para vedar o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20739,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[108,335,339],"series":[],"class_list":["post-11384","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-area","tag-perimetro","tag-raiz-quadrada"],"views":2190,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7V1Pag039-8_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11384","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=11384"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11384\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20739"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11384"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11384"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}