AMC 10 2008a Problem 20

Trapezoid $ABCD$ has bases $\overline{AB}$ and $\overline{CD}$ and diagonals intersecting at $K.$ Suppose that $AB = 9$, $DC = 12$, and the area of $\triangle AKD$ is $24.$ What is the area of trapezoid $ABCD$? $\mathrm{(A)}\ 92 \mathrm{(B)}\ 94 \mathrm{(C)}\ 96 \mathrm{(D)}\ 98 \mathrm{(E)}\ 100$