Question

find the area of the figure

Answer 1

This is a manipulation of triangular area calculations. It's a little tricky to solve exactly for the area of the shaded region, so the simpler way to go about this would be to find the area of the larger triangle bounded by the sides of lengths 9, 18, and 32, and to subtract from that the area of the unshaded triangle bounded by the sides of lengths 9 and 5.