Answer: 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
