Answer: d
Explanation:
Find the area of the rectangle.
![A=l*w\\A=(15in)(12in)\\A=180in^2](https://img.qammunity.org/2021/formulas/mathematics/college/2xxuk6pvicp04e6ig1z0edrnzpwm3tynen.png)
Find the area of the base of the semicircle.
![A=\pi r^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y53l5bajukem3vosj2tgna2lxvbu4ngh5h.png)
12 in would be the diameter, divide by 2 to get the radius.
![(12)/(2)=6](https://img.qammunity.org/2021/formulas/mathematics/high-school/cmjzcgodm47tn9v1bn62qms03jejr4yjhl.png)
Plug this into the formula.
![A=(3.14)(6)^2\\A=113.04in^2](https://img.qammunity.org/2021/formulas/mathematics/college/p0un15aovsu5vmxl5jaugg0qyx6kvccou9.png)
Since we do not have a full circle but a semi one instead, we must divide our result by 2.
![(113.04)/(2)=56.52in^2](https://img.qammunity.org/2021/formulas/mathematics/college/67k8mn9hhw4kd55blxo17lqukupi1fhwma.png)
Add both areas.
180+56.52=236.52
![in^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6fv42k3i41fodst8icz7xll8gr4wyc82ey.png)