Let \mathcal{R} be the region in the complex plane consisting of all complex numbers z that can be written as the sum of complex numbers z_{1} and z_{2}, where z_{1} lies on the segment with endpoints 3 and 4 i, and z_{2} has magnitude at most 1 . What integer is closest to the area of \mathcal{R} ?
Answer Choices
A. 13
B. 14
C. 15
D. 16
E. 17