Answer:
236.625
![ft^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/aby5gek0wjc13i4jqill20nw5n3kwwvysj.png)
Explanation:
In this question you need to figure out the area of the circle and the rectangle separating them. You would use this equation:
![A=\pi 7.5^(2) +(4*15)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/t9yvt2p74oe5ki3ey2tooq5l9f9kzyctbn.png)
Multiply everything in the parentheses to get the equation:
![A=\pi 7.5^(2) +60](https://img.qammunity.org/2022/formulas/mathematics/middle-school/kuwa5dfexfvt19ozznnvy15qt4dh4jcn4d.png)
Then square 7.5:
![A= \pi 56.25+60](https://img.qammunity.org/2022/formulas/mathematics/middle-school/cmsz15c5vuxgbqutpmla2vlvb6xujvqn3u.png)
Then multiply 56.25 by pi:
![A=176.625+60](https://img.qammunity.org/2022/formulas/mathematics/middle-school/kslr5q837719ixj27pvxmr1i8y1axi6rgy.png)
Add the last two terms together to get the area of the figure which is :
![A=236.625](https://img.qammunity.org/2022/formulas/mathematics/middle-school/tyjy7kmabvdg47ztkotseiv3c3jgv7f2c8.png)