In the figure below, $ABCD$ is a parallelogram, $AD=18$ and $DC=27$. Segments $\overline{EG}$ and $\overline{FH}$ are perpendicular to sides of the parallelogram as shown, and $EG=16$. What is the area of the parallelogram?
The area of the parallelogram is 540.
Area = DC * EG
Note that the area = DC * EG = 27 * 16 = 432