AMC 8 1995 Problem 9

Three congruent circles with centers $P$, $Q$, and $R$ are tangent to the sides of rectangle $ABCD$ as shown. The circle centered at $Q$ has diameter $4$ and passes through points $P$ and $R$. The area of the rectangle is

$\text{(A)}\ 16 \text{(B)}\ 24 \text{(C)}\ 32 \text{(D)}\ 64 \text{(E)}\ 128$