The length of a rectangle is 7 centimeters greater than the width. The perimeter is 54 centimeters. Find the length and width.

Question

The length of a rectangle is 7 centimeters greater than the width. The perimeter is 54 centimeters. Find the length and width.

Answer 1

Let W be the width in centimeters. The length is then W + 7.

 

The perimeter is 2(length + width), or

 

2(W + 7 + W) = 54

 

Solve for W:

 

2(2W + 7) = 54

 

2W + 7 = 27  (divide both sides by 2)

 

2W = 20

W = 10.

 

So, length is 17. The dimensions are 10 cm and 17 cm.