# 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?

The length and width of the postage stamp are $33 \frac{1}{4} m m \mathmr{and} 29 m m$ respectively.
Let the width of the postage stamp be $x$ mm
Then, the lengtth of the postage stamp be $\left(x + 4 \frac{1}{4}\right)$mm.
Given perimeter is $P = 124 \frac{1}{2}$ We know perimeter of a rectangle is $P = 2 \left(w + l\right)$; where $w$ is the width and $l$ is the length.
So $2 \left(x + x + 4 \frac{1}{4}\right) = 124 \frac{1}{2} \mathmr{and} 4 x + 8 \frac{1}{2} = 124 \frac{1}{2} \mathmr{and} 4 x = 124 \frac{1}{2} - 8 \frac{1}{2} \mathmr{and} 4 x = 116 \mathmr{and} x = 29 \therefore x + 4 \frac{1}{4} = 33 \frac{1}{4}$
The length and width of the postage stamp are $33 \frac{1}{4} m m \mathmr{and} 29 m m$ respectively.[Ans]