Answer:
A.) 57.12 in²
Step-by-step explanation:
Okay, so you can split this into a rectangle and a semicircle, so we're gonna start on the rectangle:
We already have the width and the height of our rectangle, so we just have to plug into our formula (height x length):
8 x 4 = 32
Now we have to do the half-circle (the formula for the area of a circle is pi x radius²) so we have to find the radius (half the diameter):
8 ÷ 2 = 4
Now we can plug:
4² = 16
We're using 3.14 for pi so:
3.14 x 16 = 50.24
Now we divide this because we only have a half-circle:
50.24 ÷ 2 = 25.12
Now we add our rectangle and our semicircle together:
32 + 25.12 = 57.12
And that's actually an option, so the area of the figure is A.) 57.12 in²
hope this helps:)