Answer:
Step-by-step 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
[tex]Area \ of \ circle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]
[tex]=\dfrac{1}{2}*3.14*3.75*3.75\\\\= 22.08 \ in^{2}[/tex]
Area of the figure = 84.375 + 22.08
= 106.455
= 106.46 in²
