The perimeter of a swimming pool is 78 feet. the difference between four times the length and the width is 73.5 feet. what are the length and width of the pool?

the length of the pool is 22.5 feet.

the width of the pool is 16.5 feet.

Step-by-step explanation:

The swimming pool is rectangular in shape.

Let L represent the length of the rectangle.

Let W represent the width of the rectangle. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a swimming pool is 78 feet. This means that

2(L + W) = 78

L + W = 78/2 = 39

The difference between four times the length and the width is 73.5 feet. This means that

4L - W = 73.5 - - - - - - - - - - - 2

Substituting W = 39 - L into equation 2, it becomes

4L - (39 - L) = 73.5

4L - 39 + L = 73.5

4L + L = 73.5 + 39

5L = 112.5

L = 112.5/5

L = 22.5

W = 39 - L = 39 - 22.5

W = 16.5

the line of

2

step-by-step explanation: