# 1998 CEMC Gauss (Grade 7) Problems/Problem 11

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## Problem

Kalyn cut rectangle R from a sheet of paper. A smaller rectangle is then cut from the large rectangle R to produce figure S. In comparing R to S,

[R is a rectangle with sides 8 and 6 cm. S is the same as R with a 4x1 rectangle cut from one of its corners.]

## Solution

Because a section of R is cut out to form S, the area of S is smaller than the area of R.

The perimeter of R is cm and the perimeter of S is cm, so the perimeters of both shapes are equal.

The answer is

-edited by coolmath34