The shape consist of a rectangle and a semi circle
The area of a rectangle is the product of its length and width while that of a semicircle pir^2
The radius of the semicircle is = 12/2
= 6 ft
The length and width of the rectangle are 16 ft and 12 ft respectively.
Hence the area of the shape
= 12 * 16 + 3.14 *6^2
= 192 + 113.04
= 305.04 sq ft