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
Binayaka C.
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]

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