AMC 10B 2006 Problem 15

Rhombus A B C D is similar to rhombus B F D E. The area of rhombus A B C D is 24 , and \angle B A D=60^{\circ}. What is the area of rhombus B F D E ?

Answer Choices
A. 6
B. 4 \sqrt{3}
C. 8
D. 9
E. 6 \sqrt{3}