The perimeter of a playing court is 130130 feet. After a game, a player's coach estimates that the athlete has run a total of 315315 feet, which is equivalent to threethree times the court's length plus ninenine times its width. What are the dimensions of the playing court?

Length = 45 feet

Width = 20 feet

Explanation:

Let the length of the court be 'L' and width be 'B'

Given:

According to the question

2 (L + B) = 130

or

L = 65 - B ... (1)

and,

3L + 9B = 315

or

L + 3B = 105 ... (2)

from 1 and 2

65 - B + 3B = 105

or

2B = 40

or

B = 20 feet

And,

L = 65 - B

or

L = 65 - 20

or

L = 45 feet