AMC8 2014 Problem 20

Rectangle A B C D has sides C D=3 and D A=5. A circle of radius 1 is centered at A, a circle of radius 2 is centered at B, and a circle of radius 3 is centered at C. Which of the following is closest to the area of the region inside the rectangle but outside all three circles?

Answer Choices
A. 3.5
B. 4.0
C. 4.5
D. 5.0
E. 5.5