Answer: d
Step-by-step explanation:
Find the area of the rectangle.
[tex]A=l*w\\A=(15in)(12in)\\A=180in^2[/tex]
Find the area of the base of the semicircle.
[tex]A=\pi r^2[/tex]
12 in would be the diameter, divide by 2 to get the radius.
[tex]\frac{12}{2}=6[/tex]
Plug this into the formula.
[tex]A=(3.14)(6)^2\\A=113.04in^2[/tex]
Since we do not have a full circle but a semi one instead, we must divide our result by 2.
[tex]\frac{113.04}{2}=56.52in^2[/tex]
Add both areas.
180+56.52=236.52[tex]in^2[/tex]