Answer:
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.
