AMC 8 2020 Problem 18 | American Mathematics Competitions

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

AMC 8 2020 Problem 18

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) $272$.

Solution:

Useful Resources

• Year-wise Geometry Problems from AMC 8
• AMC 8 - Solid Geometry - 2018 Problem 24
• AMC Program at Cheenta