FERMAT 2016 Problem 10

In the diagram, square PQRS has side length 2. Points W,X,Y, and Z are the midpoints of the sides of PQRS. What is the ratio of the area of square WXYZ to the area of square PQRS?

Image

Answer Choices
A. 1:2
B. 2:1
C. 1:3
D. 1:4
E. \sqrt2:2