Answer:
79.25 square inches
Explanation:
To find the area of the figure, split it into two shapes - a rectangle and a semi-circle.
The area of a rectangle is A = b*h. Substitute b = 10 and h = 4.
A = 4*10 = 40.
The area of a semi-circle is A =1/2 πr². Substitute r = 5 since the diameter is 10.
A =1/2 π5² = 12.5π = 39.25.
Add the two areas together.
39.25 + 40 = 79.25