Problem of the Week
Problem D
Overlapping Shapes 2

Selena draws square \(ABCD\) with side length \(16\) cm. Endre then draws \(\triangle AED\) on top of square \(ABCD\) so that

• sides \(AE\) and \(DE\) meet \(BC\) at \(F\) and \(G\), respectively, and

• the area of \(\triangle AED\) is twice the area of square \(ABCD\).

Determine the area of trapezoid \(AFGD\).