Question

The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?

Answer 1

Perimeter= 524cm
Width= 215cm
Length= 173cm

Answer 2

Represent L as L = W + 42.

Then P = 2W + 2L

Here, P = 524 cm = 2W + 2(W+42) = 2W + 2W + 84 = 4W + 84

Solving 524 = 4w + 84,    4W = 524-84 = 440.

Dividing both sides by 4:  W = 110 cm.  Then L = 110+42 = 152.

Check:  Does 2(110) + 2(152) = 524?  YES

W = 110 cm and L = 152 cm