Answer:
(C) 66.63 sq in.
Explanation:
The composite shape is a trapezoid + semi circle
The formula for area of a trapezoid is:
1/2(b1+b2)h
Where b1 is base 1
Where b2 is base 2
Where h is height
B1 is 6
B2 is 9
h is 7
1/2 (6 + 9) 7
1/2 (15) 7
7.5 x 7
= 52.5
The Semi circle formula is:
pi x r^2 (all divided by 2)
Where pi is 3.14
Where r is radius
The radius is 1/2 the diameter
6/2 = 3
3.14 x 3^2 /2
3.14 x 9 / 2
28.26 / 2
= 14.13
Trapezoid + Semi Circle
52.5 + 14.13
= 66.63 sq in.