The perimeter of a regulation singles tennis court is 210 feet and the length is 30 feet less than four times the width. What are the dimensions of the court?

The court is 27 feet by 78 feet.

Step-by-step explanation:

A tennis court has a shape of a rectangle, the perimeter of a rectangle is given by:

perimeter = 2*width + 2*length

Since the length is 30 feet less than four times the width, then:

length = 4*width - 30

We can now calculate the dimmensions of the court:

perimeter = 210 = 2*width + 2*length

210 = 2*width + 2 * (4*width - 30)

210 = 2*width + 8*width - 60

210 = 10*width - 60

10*width - 60 = 210

10*width = 210 + 60

10*width = 270

width = 270/10 = 27

length = 4*27 - 30 = 78