Answer:
The court is 27 feet by 78 feet.
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