MathDB
1997 AJHSME #10 - Shaded Region

Source:

June 30, 2011
geometryAMC

Problem Statement

What fraction of this square region is shaded? Stripes are equal in width, and the figure is drawn to scale.
[asy] unitsize(8); fill((0,0)--(6,0)--(6,6)--(0,6)--cycle,black); fill((0,0)--(5,0)--(5,5)--(0,5)--cycle,white); fill((0,0)--(4,0)--(4,4)--(0,4)--cycle,black); fill((0,0)--(3,0)--(3,3)--(0,3)--cycle,white); fill((0,0)--(2,0)--(2,2)--(0,2)--cycle,black); fill((0,0)--(1,0)--(1,1)--(0,1)--cycle,white); draw((0,6)--(0,0)--(6,0)); [/asy]
<spanclass=latexbold>(A)</span> 512<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> 712<spanclass=latexbold>(D)</span> 23<spanclass=latexbold>(E)</span> 56<span class='latex-bold'>(A)</span>\ \dfrac{5}{12} \qquad <span class='latex-bold'>(B)</span>\ \dfrac{1}{2} \qquad <span class='latex-bold'>(C)</span>\ \dfrac{7}{12} \qquad <span class='latex-bold'>(D)</span>\ \dfrac{2}{3} \qquad <span class='latex-bold'>(E)</span>\ \dfrac{5}{6}