Around the outside of a 4 by 4 square, construct four semicircles (as shown in the figure) with the four sides of the square as their diameters. Another square, A B C D, has its sides parallel to the corresponding sides of the original square, and each side of A B C D is tangent to one of the semicircles. The area of the square A B C D is
Answer Choices
A. 16
B. 32
C. 36
D. 48
E. 64