AMC 12A 2010 Problem 3

Rectangle A B C D, pictured below, shares 50 \% of its area with square E F G H. Square E F G H shares 20 \% of its area with rectangle A B C D. What is \dfrac{A B}{A D} ?

Answer Choices
A. 4
B. 5
C. 6
D. 8
E. 10