Answer:
A
Explanation:
this is a college level question ? oh my ...
to get the total area we need to add the area of the rectangle and the area of the half-circle.
the area of the rectangle is
length × width = 15 × 5 = 75 ft²
the area of the half-circle is
pi×r² / 2
how do we get r (radius) ?
we know, both lengths of the rectangle must be equally long. so, 15 ft.
we see that the remaining length after the half-circle is 9 ft.
so, the diameter of the half-circle is 15 - 9 = 6 ft.
the radius is half the diameter, so r = 6/2 = 3 ft.
the area is therefore
pi×3² / 2 = 9pi /2 = 14.13716694... ft²
in total that makes
75 + 14.13716694... = 89.13716694... ft²
the closest of your answer options is A : 88 ft²