2020 AMC 10A Question 20

Quadrilateral $ABCD$ satisfies $\angle ABC = \angle ACD = 90^{\circ},$ $AC=20,$ and $CD=30.$ Diagonals $\overline{AC}$ and $\overline{BD}$ intersect at point $E,$ and $AE=5.$ What is the area of quadrilateral $ABCD?$