What is the NO-SHORTCUT approach for learning great Mathematics?

Learn MoreThis is a solution to a problem from American Mathematics Competition (AMC) 8 2020 Problem 18 based on Geometry.

Rectangle $A B C D$ is inscribed in a semicircle with diameter $\overline{F E}$ as shown in the figure. Let $D A=16$, and let $F D=A E=9 .$ What is the area of $A B C D ?$

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

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