The perimeter of a pool is 64 feet and has a width of x and a length of x-4. Write an equation and find both the width and length of the pool.
2x + 2(x-4) = 64
take it from there.
2x+2(x-4)= 64=> 2x + 2x - 8 = 64 => 4x = 72 => x = 72/4 = 18
To find the width and length of the pool, we need to set up an equation based on the information given.
The formula for the perimeter of a rectangle is given by P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
In this case, we are given that the perimeter of the pool is 64 feet, so we can write the equation as:
64 = 2(x-4) + 2x
To solve for x, we can simplify the equation:
64 = 2x - 8 + 2x
Combining like terms:
64 = 4x - 8
Adding 8 to both sides:
72 = 4x
Dividing both sides by 4:
18 = x
So the width of the pool is x = 18 feet.
To find the length, we can substitute the value of x back into the equation:
Length = x - 4 = 18 - 4 = 14 feet.
Therefore, the width of the pool is 18 feet and the length is 14 feet.