The bottom of a swimming pool is made up of a rectangle and a semicircle. The dimensions of the bottom of the pool are shown in feet.



Which measurement is closer to the area of the bottom of the pool in square feet?



792 ft²

830 ft²

1,244 ft²

1,018 ft²

1 answer

To find the area of the bottom of the pool, we need to calculate the area of the rectangle and the area of the semicircle, and then add them together.

Rectangle:
Length = 22 ft
Width = 28 ft
Area = Length x Width = 22 ft x 28 ft = 616 ft²

Semicircle:
Radius = (28 ft) / 2 = 14 ft
Area = (1/2) x π x (14 ft)² = (1/2) x π x 196 ft² ≈ 308 ft²

Total area = Area of rectangle + Area of semicircle
Total area = 616 ft² + 308 ft² = 924 ft²

Out of the given options:
792 ft² is the closest measurement to the area of the bottom of the pool in square feet.