An 8-foot border of concrete will be included around the pool. How much concrete will be needed?
Calculating Concrete Needed for Pool Border
To determine the amount of concrete needed to create an 8-foot border around the pool, we must calculate the total area of the concrete required. This involves finding the area of both the larger rectangle (where the concrete will be poured) and the pool itself.
a. Find the area of the larger rectangle:
To calculate the area of the larger rectangle, we use the formula A = length x width. In this case, the length of the larger rectangle is the sum of the pool's length and twice the border's width (8 feet on each side), and the width is the sum of the pool's width and twice the border's width.
So,
Length of larger rectangle = (pool length + 2 x 8 feet) = (40 feet + 16 feet) = 56 feet
Width of larger rectangle = (pool width + 2 x 8 feet) = (20 feet + 16 feet) = 36 feet
Now, calculate the area of the larger rectangle:
A = length x width = 56 feet x 36 feet = 2016 ft².
b. Find the area of the pool:
Using the formula A = length x width, we can determine the area of the pool. The pool's dimensions were given as 40 feet in length and 20 feet in width.
A = 40 feet x 20 feet = 800 ft².
c. Calculate the amount of concrete needed:
By subtracting the area of the pool from the area of the larger rectangle, we can find out how much concrete is required.
Area of Concrete = Area of larger rectangle - Area of pool
Area of Concrete = 2016 ft² - 800 ft² = 1216 ft².
Therefore, you will need 1216 square feet of concrete to have an 8-foot border around the pool.