Math word problem

Question

The perimeter of a college basketball court is 84 meters and the length is twice as long as the width. What are the length and? width?

Answer 1

Hi B, let W represent the width of the basketball court. Then 2W represents the length of the basketball court.

 

Apply the formula for the perimeter of a rectangle to the problem, P = 2L + 2W.

 

Substitute:

 

P = 84 feet

 

L = 2W

 

Gives:

 

84 = 2 * 2W + 2W

 

84 = 4W + 2W

 

86 = 6W

 

Divide both sides by 6:

 

W = 14

 

The width of the basketball court is 14 feet.

 

The length of the basketball court is 2W or 2 * 14, which equals 28 feet.

 

Check:

 

2 * 28 + 2 * 14 = 84

 

56 + 28 = 84

 

84 = 84

 

Values check.

 

Questions?