Points K, L, M, and N lie in the plane of the square A B C D so that A K B, B L C, C M D, and D N A are equilateral triangles. If A B C D has an area of 16 , find the area of K L M N.
Answer Choices
A. 32
B. 16+16 \sqrt{3}
C. 48
D. 32+16 \sqrt{3}
E. 64