AMC 10B 2016 Problem 23

In regular hexagon A B C D E F, points W, X, Y, and Z are chosen on sides \overline{B C}, \overline{C D}, \overline{E F}, and \overline{F A}, respectively, so that lines A B, Z W, Y X, and E D are parallel and equally spaced. What is the ratio of the area of hexagon W C X Y F Z to the area of hexagon A B C D E F ?

Answer Choices
A. \dfrac{1}{3}
B. \dfrac{10}{27}
C. \dfrac{11}{27}
D. \dfrac{4}{9}
E. \dfrac{13}{27}