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{"id":4912,"date":"2010-10-31T00:51:50","date_gmt":"2010-10-30T23:51:50","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4912"},"modified":"2022-01-19T13:48:41","modified_gmt":"2022-01-19T13:48:41","slug":"a-tenda-da-ana","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4912","title":{"rendered":"A tenda da Ana"},"content":{"rendered":"<p><ul id='GTTabs_ul_4912' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4912' class='GTTabs_curr'><a  id=\"4912_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4912' ><a  id=\"4912_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_4912'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A tenda da Ana tem a forma de um prisma triangular reto e est\u00e1 coberta por um toldo pl\u00e1stico.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4915\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4915\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg\" data-orig-size=\"573,399\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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=\"Tenda\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg\" class=\"aligncenter wp-image-4915\" title=\"Tenda\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-300x208.jpg\" alt=\"\" width=\"400\" height=\"279\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-300x208.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-150x104.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-400x278.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg 573w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<ol>\n<li>Qual \u00e9 a \u00e1rea do toldo?<\/li>\n<li>Determina a \u00e1rea total da tenda.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4912' onClick='GTTabs_show(1,4912)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4912'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4915\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4915\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg\" data-orig-size=\"573,399\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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=\"Tenda\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg\" class=\"alignright wp-image-4915\" title=\"Tenda\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-300x208.jpg\" alt=\"\" width=\"400\" height=\"279\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-300x208.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-150x104.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda-400x278.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/tenda.jpg 573w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>O toldo tem a forma de dois ret\u00e2ngulos justapostos, de dimens\u00f5es $2,5\\,m\\times 2,2\\,m$. Logo, a \u00e1rea do toldo \u00e9 ${{A}_{Toldo}}=2\\times (2,5\\times 2,2)=11\\,{{m}^{2}}$.<br \/>\n\u00ad<\/li>\n<li>A tenda tem a forma de um prisma triangular reto, de bases triangulares is\u00f3sceles e faces laterais retangulares, duas com dimens\u00f5es $1,7\\,m\\times 2,5\\,m$ e outra com as dimens\u00f5es $1,5\\,m\\times 2,5\\,m$.\n<p>A \u00e1rea de uma base \u00e9 ${{A}_{b}}=\\frac{1,5\\times 1,5}{2}=1,125\\,{{m}^{2}}$.<\/p>\n<p>A \u00e1rea lateral \u00e9 ${{A}_{L}}=2\\times (1,7\\times 2,5)+(1,5\\times 2,5)=12,25\\,{{m}^{2}}$.<\/p>\n<p>Portanto, a \u00e1rea total da tenda \u00e9 ${{A}_{Tenda}}=2\\times {{A}_{b}}+{{A}_{L}}=2\\times 1,125+12,25=14,5\\,{{m}^{2}}$.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4912' onClick='GTTabs_show(0,4912)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A tenda da Ana tem a forma de um prisma triangular reto e est\u00e1 coberta por um toldo pl\u00e1stico. Qual \u00e9 a \u00e1rea do toldo? Determina a \u00e1rea total da tenda.&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20635,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,102],"tags":[424,108,67],"series":[],"class_list":["post-4912","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-do-espaco-ao-plano","tag-8-o-ano","tag-area","tag-geometria"],"views":2473,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/7V2Pag115-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4912","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=4912"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4912\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20635"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4912"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4912"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4912"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4912"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}