The semicircle has diameter 18 ft, so it has radius 9 ft, and this is the height of the rectangle.
The area of the shaded region is (area of rectangle) - (area of semicircle).
The area of a circle with radius
is
, so the area of a semicircle with the same radius is
, and in this case that's
.
The area of the rectangle is
.
Then the area of the shaded region is
