Final answer:
The dimensions of the pool are length = 30 feet and width = 26 feet.
Step-by-step explanation:
Let's denote the length of the swimming pool as 'L' and the width as 'W'. We know that the width is 4 feet less than the length, so we can write the equation W = L - 4.
The perimeter of a rectangle is given by the formula P = 2L + 2W. We are given that the perimeter of the pool is 112 feet, so we can substitute the values into the formula: 112 = 2L + 2(L - 4).
Simplifying the equation gives us 112 = 4L - 8. Adding 8 to both sides gives us 120 = 4L. Dividing by 4 gives us L = 30. Substituting this value back into the equation W = L - 4 gives us W = 30 - 4 = 26.
Therefore, the dimensions of the pool are length = 30 feet and width = 26 feet.