Rectangle ABCD is inscribed in a semicircle with diameter FE

Rectangle ABCD is inscribed in a semicircle with diameter FE

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

(A) 240 (B) 248 (C) 256 (D) 264 (E) 272

answer：A