The area of the composite figure will be the sum of the area of the square and the area of the semicircle. The formula for determining the area of a square is expressed as
Area = length^2
From the diagram,
length = 12
Area of square = 12^2 = 144
The formula for determining the area of a semicircle is expressed as
Area = 1/2 * pi * radius^2
Radius = diameter/2
The diameter of the semicircle is 12. Thus,
radius = 12/2 = 6
pi = 3.14
Area of semicircle = 1/2 * 3.14 * 6^2 = 56.52
Area of composite figure = 144 + 56.52 = 200.52 in^2
The first option is the correct answer