That figure is made up of 3 shapes. A square, a rectangle, a semicircle. The square has a side of 6 ft. The semicircle has a radius of 4 ft. The rectangle's width is the diameter of the semicircle, so it is 8 ft. The length of the rectangle is 18 ft.
Square: A = s^2 = (6 ft)^2 = 36 ft^2
Rectangle: A = LW = 18 ft * 8 ft = 144 ft^2
Semicircle: A = (1/2) * pi * r^2 = (1/2) * pi * (4 ft)^2 = (1/2) * pi * 16 ft^2 = 8pi ft^2