Question

The perimeter of a rectangle is 56 centimeters. If the length of the rectangle is four centimeters less

than three times its width, what are the dimensions of the rectangle?

Answer 1

Let the length be x and the width be y, then

2x + 2y = 56

x + y = 28 . . . (1)

x = 4 + 3y . . . (2)

Putting (2) into (1) gives

4 + 3y + y = 28

4y = 28 - 4 = 24

y = 24/4 = 6

x = 4 + 3(6) = 4 + 18 = 22

Therefore, length is 22 inches and width is 6 inches.