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Problem 200

Geometry Difficulty 1.4 Multiple choice CEMC Gauss (Grade 7) · Canada · 2012

The perimeter of a square is 36 cm. The area of the square, in cm $^2$ , is

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Official solution

Since the four sides of a square are equal in length and the perimeter is 36 cm, then each side has length $\frac{36}{4}=9$ cm.

The area of the square is the product of the length and width, which are each equal to 9 cm.
Therefore, the area of the square, in cm $^2$ , is $9\times9=81$ .

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.