MathDB
AMC 8 2008 Problem 6

Source:

November 28, 2010
ratiogeometry

Problem Statement

In the figure, what is the ratio of the area of the gray squares to the area of the white squares? [asy] size((70)); draw((10,0)--(0,10)--(-10,0)--(0,-10)--(10,0)); draw((-2.5,-7.5)--(7.5,2.5)); draw((-5,-5)--(5,5)); draw((-7.5,-2.5)--(2.5,7.5)); draw((-7.5,2.5)--(2.5,-7.5)); draw((-5,5)--(5,-5)); draw((-2.5,7.5)--(7.5,-2.5)); fill((-10,0)--(-7.5,2.5)--(-5,0)--(-7.5,-2.5)--cycle, gray); fill((-5,0)--(0,5)--(5,0)--(0,-5)--cycle, gray); fill((5,0)--(7.5,2.5)--(10,0)--(7.5,-2.5)--cycle, gray); [/asy] <spanclass=latexbold>(A)</span> 3:10<spanclass=latexbold>(B)</span> 3:8<spanclass=latexbold>(C)</span> 3:7<spanclass=latexbold>(D)</span> 3:5<spanclass=latexbold>(E)</span> 1:1 <span class='latex-bold'>(A)</span>\ 3:10 \qquad<span class='latex-bold'>(B)</span>\ 3:8 \qquad<span class='latex-bold'>(C)</span>\ 3:7 \qquad<span class='latex-bold'>(D)</span>\ 3:5 \qquad<span class='latex-bold'>(E)</span>\ 1:1