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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?

Respuesta :

Answer:

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

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