The figure is formed from
A rectangle with length = 12 ft and width = 3 ft
A semi-circle of diameter = 3 ft
Area of the rectangle = length * width
Area of the rectangle = 12 * 3 = 36 square feet
Area of the semi-circle =
[tex]\frac{1}{2}\pi r^2[/tex]
r = 1/2 diameter
r = 1/2 * 3
r = 1.5 feet
Area of the semi-circle =
[tex]\frac{1}{2}\pi(1.5)^2=1.125\pi[/tex]
Add the two areas to find the area of the figure
[tex]\text{Area}=36+1.125\pi=39.53429174[/tex]
Round it to the nearest hundredth
Area = 39.53 square feet
The answer is C
