AMC 10 2022b Problem 2

In rhombus $ABCD$, point $P$ lies on segment $\overline{AD}$ so that $\overline{BP}$ $\perp$ $\overline{AD}$, $AP = 3$, and $PD = 2$. What is the area of $ABCD$? (Note: The figure is not drawn to scale.)

$\textbf{(A) }3\sqrt 5 \textbf{(B) }10 \textbf{(C) }6\sqrt 5 \textbf{(D) }20 \textbf{(E) }25$