A bandeira nacional de Seychelles, com proporção dos lados de 2 para 1, é construída da seguinte maneira: primeiro, marque os dois pontos que dividem a borda superior em três segmentos iguais; segundo, marque os dois pontos que dividem a borda direita em três segmentos iguais; terceiro, desenhe as quatro retas ligando o vértice inferior esquerdo a esses quatro pontos; e finalmente, pinte as bandas resultantes com as cores azul, amarelo, vermelho, branco e verde, na ordem. Qual é a proporção que cada cor ocupa na bandeira?
(The national flag of Seychelles, with a 2 to 1 aspect ratio, is constructed as follows: first, mark the two points that divide the top edge into three equal segments; second, mark the two points that divide the right edge into three equal segments; third, draw the four lines connecting the bottom left vertex to those four points; and finally, paint the resulting bands with the colors blue, yellow, red, white and green, in order. What proportion does each color occupy on the flag?)
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| Foto de uma das praias de Seychelles, país formado por um arquipélago no Oceano Índico. |
PCFilho
The blue triangle and the yellow triangle have a base equal to one-third the top edge and a height equal to the left edge, so the area of each of those triangles is one-sixth that of the flag. The white triangle and the green triangle have a base equal to the length of the bottom edge and a height equal to one-third the right edge, so the area of each of those triangles is also one-sixth that of the flag. Therefore the red region's area is one-third that of the flag (since 1 - 4(1/6) = 1/3). So, the proportions (going in the order mentioned in the problem) are 1:1:2:1:1.
ResponderExcluirMy answer -> 1:1:2:1:1
Well done, Jake!! The red part is twice the area of each other color. :)
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