{"id":23299,"date":"2022-11-22T21:54:19","date_gmt":"2022-11-22T21:54:19","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23299"},"modified":"2022-11-24T19:08:00","modified_gmt":"2022-11-24T19:08:00","slug":"perimetro-e-area-de-um-trapezio","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23299","title":{"rendered":"Per\u00edmetro e \u00e1rea de um trap\u00e9zio"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23299' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23299' class='GTTabs_curr'><a  id=\"23299_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23299' ><a  id=\"23299_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_23299'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Determina o per\u00edmetro e a \u00e1rea do seguinte trap\u00e9zio (as medidas est\u00e3o em cm).<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23301\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23301\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png\" data-orig-size=\"400,230\" 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_Pag058-13\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png\" class=\"aligncenter wp-image-23301 size-medium\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13-300x173.png\" alt=\"\" width=\"300\" height=\"173\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13-300x173.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23299' onClick='GTTabs_show(1,23299)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23299'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23301\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23301\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png\" data-orig-size=\"400,230\" 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_Pag058-13\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png\" class=\"alignright wp-image-23301 size-medium\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13-300x173.png\" alt=\"\" width=\"300\" height=\"173\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13-300x173.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13.png 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo ret\u00e2ngulo, temos:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}u&amp; = &amp;{\\sqrt {{{\\left( {\\frac{{40,5 &#8211; 20,5}}{2}} \\right)}^2} + {{14}^2}} }\\\\{}&amp; = &amp;{\\sqrt {{{10}^2} + {{14}^2}} }\\\\{}&amp; = &amp;{\\sqrt {100 + 196} }\\\\{}&amp; = &amp;{\\sqrt {296} }\\end{array}\\]<\/p>\n<p>Logo, o trap\u00e9zio tem \\(P = 40,5 + 20,5 + 2 \\times \\sqrt {296} = 61 + 2 \\times \\sqrt {296} \\approx 95,4\\) cm de per\u00edmetro.<\/p>\n<p>A \u00e1rea do trap\u00e9zio \u00e9 \\(A = \\frac{{40,5 + 20,5}}{2} \\times 14 = 61 \\times 7 = 427\\) cm<sup>2<\/sup>.<\/p>\n<p>Ver <a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=5632\" target=\"_blank\" rel=\"noopener\">\u00c1rea do Trap\u00e9zio<\/a><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23299' onClick='GTTabs_show(0,23299)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Determina o per\u00edmetro e a \u00e1rea do seguinte trap\u00e9zio (as medidas est\u00e3o em cm). Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":23302,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,108,67,335,118],"series":[],"class_list":["post-23299","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-teorema-de-pitagoras","tag-8-o-ano","tag-area","tag-geometria","tag-perimetro","tag-teorema-de-pitagoras"],"views":167,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-13_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23299","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=23299"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23299\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23302"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23299"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23299"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23299"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23299"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}