{"id":6291,"date":"2024-05-26T11:44:31","date_gmt":"2024-05-26T14:44:31","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=6291"},"modified":"2024-09-05T11:10:52","modified_gmt":"2024-09-05T14:10:52","slug":"questao-167-enem-ppl-2020","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-167-enem-ppl-2020\/","title":{"rendered":"Quest\u00e3o 167 &#8211; Enem PPL 2020"},"content":{"rendered":"\n<p class=\"has-text-align-center wp-block-paragraph\">Quest\u00e3o 167 &#8211; Geometria Plana<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Pretende-se comprar uma mesa capaz de acomodar<strong> 6 pessoas<\/strong>, de modo que, assentadas em torno da mesa, <strong>cada pessoa disponha de, pelo menos, 60 cm de espa\u00e7o<\/strong> <strong>livre na borda do tampo da mesa, que dever\u00e1 ter a menor \u00e1rea poss\u00edvel. <\/strong>Na loja visitada h\u00e1 mesas com tampos nas formas e dimens\u00f5es especificadas:&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u2022 Mesa I: hex\u00e1gono regular, com lados medindo 60 cm;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u2022 Mesa II: ret\u00e2ngulo, com lados medindo 130 cm e 60 cm;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u2022 Mesa III: ret\u00e2ngulo, com lados medindo 120 cm e 60 cm;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u2022 Mesa IV: quadrado, com lados medindo 60 cm;&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u2022 Mesa V: tri\u00e2ngulo equil\u00e1tero, com lados medindo 120 c<\/strong>m.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A mesa que atende aos crit\u00e9rios especificados \u00e9 a&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A) I.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) II.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) III.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) IV.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E) V.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Precisamos de 6 espa\u00e7os de 60 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Podemos notar que na mesa IV n\u00e3o cabem 6 pessoas com 60 cm cada, analisando o restante das alternativas por compara\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As mesas II e III t\u00eam o mesmo formato, mas a \u00e1rea da III \u00e9 menor, ent\u00e3o j\u00e1 eliminamos a II.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u00e1rea de I \u00e9 de um hex\u00e1gono regular, sabemos que a \u00e1rea \u00e9 calculada por (6.L\u00b2.\u221a3)\/4, sendo L o lado.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ent\u00e3o a \u00e1rea de I \u00e9:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(6.60\u00b2.\u221a3)\/4 = 21600.\u221a3\/4 = 5400.\u221a3 = 540.1,7 = 9180<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u00e1rea de III \u00e9 de um ret\u00e2ngulo de lados 60 e 120, calculando a \u00e1rea, temos<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">60.120 = 7200&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u00e1rea de V \u00e9 de um tri\u00e2ngulo equil\u00e1tero de lado 60, calculado pela f\u00f3rmula (L\u00b2.\u221a3)\/4<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(120\u00b2\u221a3)\/4 = 14400.\u221a3)4 = 3600.1,7 = 6120<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A menor \u00e1rea \u00e9 a da mesa V.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa E<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Assista a resolu\u00e7\u00e3o com mais detalhes no v\u00eddeo abaixo!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Quest\u00e3o 167 - Caderno Azul | Geometria Plana | MATEM\u00c1TICA ENEM PPL 2020\" width=\"800\" height=\"450\" data-src=\"https:\/\/www.youtube.com\/embed\/2dGl1n3eVRk?list=PLrzB-zHlu3aDeOIMvU2HONxnR9gk0LfbA\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Quest\u00e3o 167 &#8211; Geometria Plana Pretende-se comprar uma mesa capaz de acomodar 6 pessoas, de modo que, assentadas em torno da mesa, cada pessoa disponha de, pelo menos, 60 cm de espa\u00e7o livre na borda do tampo da mesa, que dever\u00e1 ter a menor \u00e1rea poss\u00edvel. Na loja visitada h\u00e1 mesas com tampos nas formas [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87,99],"tags":[],"area-do-conhecimento":[132,118],"assunto":[50],"class_list":["post-6291","post","type-post","status-publish","format-standard","hentry","category-questoes-ppl","category-2020-questoes-ppl","area-do-conhecimento-matematica","area-do-conhecimento-matematica-e-suas-tecnologias","assunto-geometria-plana"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6291","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=6291"}],"version-history":[{"count":2,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6291\/revisions"}],"predecessor-version":[{"id":11700,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6291\/revisions\/11700"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=6291"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=6291"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=6291"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=6291"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=6291"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}