The lenght of a rectangle is two more than three times its width. If the perimeter of the rectangle is 92 meters, find the dimensions.

Question

The lenght of a rectangle is two more than three times its width. If the perimeter of the rectangle is 92 meters, find the dimensions.

Answer 1

P = 2L + 2W

 

W = width

L = 3W + 2

P = 92

 

92 = 2(3W + 2) + 2W

92 = 6W + 4 + 2W

88 = 8W

11 m = W

 

L = 3 * 11 + 2 = 33 + 2 = 35 m

 

The dimensions are 35 m x 11 m