Step 1: Calculate the area of the rectangle
Area of a rectangle = length x width
Area of the rectangle = 24 ft x 33 ft = 792 ft²
Step 2: Calculate the area of the semicircle
Radius of the semicircle = half the width of the rectangle = 33 ft / 2 = 16.5 ft
Area of a circle = πr²
Area of the semicircle = 0.5 x π x (16.5 ft)² = 135.57 ft²
Step 3: Add the area of the rectangle and the area of the semicircle to find the total area of the bottom of the pool
Total area = area of rectangle + area of semicircle
Total area = 792 ft² + 135.57 ft² = 927.57 ft²
Therefore, the measurement that is closest to the area of the bottom of the pool in square feet is 927.57 ft², which is closest to 1,018 ft².
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.
(There is a 24 in the side of the rectangle, 33 in the bottom and a semi circle on the side)
Which measurement is closer to the area of the bottom of the pool in square feet? (Show step by step)
792 ft²
830 ft²
1,244 ft²
1,018 ft²
1 answer