The length of a postage stamp is 4 1/4 millimeters longer than its width. The perimeter of the stamp is 124 1/2 millimeters. What is the width of the postage stamp? What is the length of the postage stamp?

1 Answer
Oct 24, 2016

The length and width of the postage stamp are 33 1/4 mm and 29 mm respectively.

Explanation:

Let the width of the postage stamp be x mm
Then, the lengtth of the postage stamp be (x+4 1/4)mm.
Given perimeter is P=124 1/2 We know perimeter of a rectangle is P=2(w+l); where w is the width and l is the length.
So 2(x+x+ 4 1/4) = 124 1/2 or 4x+ 8 1/2 = 124 1/2 or 4x =124 1/2- 8 1/2 or 4x =116 or x = 29 :. x+4 1/4=33 1/4
The length and width of the postage stamp are 33 1/4 mm and 29 mm respectively.[Ans]