The perimeter of a regulation singles tennis court is 210 feet and the length is 57 feet less than five times the width. What are the dimensions of the court? f width length ft

The dimensions of the court is: width = 27 feet and length = 78 feet.

Step-by-step explanation:

Consider the provided information.

The perimeter of a regulation singles tennis court is 210 feet.

Perimeter of a rectangle can be calculated as:

Perimeter = P = 2W + 2L = 210

The above formula can be written as:

2W + 2L = 210

W + L = 105 ... (1)

The length is 57 feet less than five times the width.

Let width is represented by W, then the length will be:

Length = L = 5W - 57

Now substitute L = 5W - 57 in equation 1.

W + 5W - 57 = 105

6W = 105 + 57

6W = 162

W = 27

Now substitute the value of W in L = 5W - 57.

L = 5 (27) - 57

L = 135 - 57

L = 78

Hence, the dimensions of the court is: width = 27 feet and length = 78 feet.