Question

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?

Answer 1

Answer:

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