Answer:
Explanation:
Area of the figure = area of semicircle + area of rectangle
Rectangle:
length = 11.25 in
width = 7.5 in
Area of rectangle = length * width
= 11.25 * 7.5
= 84.375 in²
Semicircle:
diameter = width of the rectangle
d = 7.5 in
r = diameter 2 = 7.5/2 = 3.75 in
![Area \ of \ circle = (1)/(2)\pi r^(2)\\\\](https://img.qammunity.org/2023/formulas/mathematics/high-school/dbdvh9q1i11thwo3twfyfc4731osophwnj.png)
![=(1)/(2)*3.14*3.75*3.75\\\\= 22.08 \ in^(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/onsmfwplfs00vwl6uo04hnuyw63yiw0d3o.png)
Area of the figure = 84.375 + 22.08
= 106.455
= 106.46 in²