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
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.