{"id":24459,"date":"2023-02-17T08:50:22","date_gmt":"2023-02-17T08:50:22","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24459"},"modified":"2023-02-17T09:22:43","modified_gmt":"2023-02-17T09:22:43","slug":"figuras-construidas-com-palhinhas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24459","title":{"rendered":"Figuras constru\u00eddas com palhinhas"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24459' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24459' class='GTTabs_curr'><a  id=\"24459_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24459' ><a  id=\"24459_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_24459'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Na constru\u00e7\u00e3o das seguintes figuras foram utilizadas palhinhas de refresco com os comprimentos x, y e z.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24461\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24461\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\" data-orig-size=\"548,392\" 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_Pag128-T5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\" class=\"aligncenter wp-image-24461\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\" alt=\"\" width=\"470\" height=\"336\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png 548w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5-300x215.png 300w\" sizes=\"auto, (max-width: 470px) 100vw, 470px\" \/><\/a><\/p>\n<ol>\n<li>Determina o per\u00edmetro da figura A.<\/li>\n<li>Qual \u00e9 o per\u00edmetro da figura B?<\/li>\n<li>Escreve uma express\u00e3o que traduza o per\u00edmetro da figura C.<\/li>\n<li>H\u00e1 figuras com o mesmo per\u00edmetro? Explica a tua resposta.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24459' onClick='GTTabs_show(1,24459)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24459'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Na constru\u00e7\u00e3o das seguintes figuras foram utilizadas palhinhas de refresco com os comprimentos x, y e z.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24461\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24461\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\" data-orig-size=\"548,392\" 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_Pag128-T5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\" class=\"aligncenter wp-image-24461\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png\" alt=\"\" width=\"470\" height=\"336\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5.png 548w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5-300x215.png 300w\" sizes=\"auto, (max-width: 470px) 100vw, 470px\" \/><\/a><\/p>\n<ol>\n<li>O per\u00edmetro da figura A pode ser expresso por \\[\\begin{array}{*{20}{l}}{{P_A}}&amp; = &amp;{x + x + y + z + y}\\\\{}&amp; = &amp;{2x + 2y + z}\\end{array}\\]<\/li>\n<li>O per\u00edmetro da figura B pode ser expresso por \\[\\begin{array}{*{20}{l}}{{P_B}}&amp; = &amp;{x + x + y + x + x + z}\\\\{}&amp; = &amp;{4x + y + z}\\end{array}\\]<\/li>\n<li>O per\u00edmetro da figura C pode ser expresso por \\[\\begin{array}{*{20}{l}}{{P_C}}&amp; = &amp;{x + x + y + z + y}\\\\{}&amp; = &amp;{2x + 2y + z}\\end{array}\\]<\/li>\n<li>Sim, h\u00e1 figuras com o mesmo per\u00edmetro.<br \/>As figuras A e C t\u00eam o mesmo per\u00edmetro, pois \\({P_A} = {P_C} = 2x + 2y + z\\).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24459' onClick='GTTabs_show(0,24459)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na constru\u00e7\u00e3o das seguintes figuras foram utilizadas palhinhas de refresco com os comprimentos x, y e z. Determina o per\u00edmetro da figura A. Qual \u00e9 o per\u00edmetro da figura B? Escreve&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24462,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,703,704,195],"series":[],"class_list":["post-24459","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-monomios-semelhantes","tag-operacoes-com-monomios","tag-operacoes-com-polinomios"],"views":108,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag128-T5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24459","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=24459"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24459\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24462"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24459"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24459"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24459"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24459"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}