{"id":11351,"date":"2012-11-15T15:49:11","date_gmt":"2012-11-15T15:49:11","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11351"},"modified":"2022-01-20T02:18:45","modified_gmt":"2022-01-20T02:18:45","slug":"uma-toalha-de-mesa","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11351","title":{"rendered":"Uma toalha de mesa"},"content":{"rendered":"<p><ul id='GTTabs_ul_11351' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11351' class='GTTabs_curr'><a  id=\"11351_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11351' ><a  id=\"11351_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_11351'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11355\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11355\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa.jpg\" data-orig-size=\"384,346\" 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=\"Mesa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa.jpg\" class=\"alignright wp-image-11355\" title=\"Mesa\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa.jpg\" alt=\"\" width=\"300\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa.jpg 384w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa-300x270.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa-150x135.jpg 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>A \u00e1rea da mesa quadrada da figura \u00e9 $169$ dm<sup>2<\/sup>.<\/p>\n<ol>\n<li>A toalha que est\u00e1 sobre a mesa cai para cada um dos lados $15$ cm.<br \/>\nQual a \u00e1rea da toalha? Explica a tua resposta.<\/li>\n<li>Quantos metros de renda foi necess\u00e1rio colocar \u00e0 volta da toalha? Porqu\u00ea?<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/mesa.jpg\">\u00a0<\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11351' onClick='GTTabs_show(1,11351)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11351'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11358\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11358\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa.png\" data-orig-size=\"865,734\" 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=\"Mesa e toalha\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa.png\" class=\"aligncenter  wp-image-11358\" title=\"Mesa e toalha\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa.png\" alt=\"\" width=\"519\" height=\"440\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa.png 865w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa-300x254.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa-150x127.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7ano-pag38-mesa-400x339.png 400w\" sizes=\"auto, (max-width: 519px) 100vw, 519px\" \/><\/a><\/p>\n<ol>\n<li>Como o tampo da mesa tem forma quadrada, ent\u00e3o $\\overline {AB}\u00a0 = \\sqrt {169}\u00a0 = 13$ dm.\n<p>O comprimento do lado da toalha (tamb\u00e9m com forma quadrada) \u00e9 $\\overline {EF}\u00a0 = \\overline {AB}\u00a0 + 2 \\times 1,5 = 13 + 3 = 16$ dm.<\/p>\n<p>Consequentemente, a toalha tem ${A_{\\left[ {EFGH} \\right]}} = 16 \\times 16 = 256$ dm<sup>2<\/sup> de \u00e1rea.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>O quadrado [EFGH] tem ${P_{\\left[ {EFGH} \\right]}} = 4 \\times 16 = 64$ dm de per\u00edmetro.\n<p>Portanto, foi necess\u00e1rio colocar \u00e0 volta da toalha $6,4$ m de renda.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11351' onClick='GTTabs_show(0,11351)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A \u00e1rea da mesa quadrada da figura \u00e9 $169$ dm2. A toalha que est\u00e1 sobre a mesa cai para cada um dos lados $15$ cm. Qual a \u00e1rea da toalha? Explica&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20735,"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-11351","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":3910,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7V1Pag038-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11351","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=11351"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11351\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20735"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11351"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11351"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11351"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}