CAYLEY 2007 Problem 23

In the diagram, ABCD is rectangle with AB=12 and BC=18. Rectangle AEFG is formed by rotating ABCD about A through an angle of 30^\circ. The total area of the shaded regions is closest to

Image

Answer Choices
A. 202.8
B. 203.1
C. 203.4
D. 203.7
E. 204.0