AMC8 2020 Problem 18

Rectangle ABCD is inscribed in a semicircle with diameter \overline{FE}, as shown in the figure. Let DA = 16 and \overline{FD} = \overline{AE} = 9. What is the area of ABCD?

2020_que_18

Answer Choices
A. 240
B. 248
C. 256
D. 264
E. 272