Maths Olympiad Prep

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, 2012

Geometry Difficulty 1.4 Junior Find the answer Canada

The perimeter of a square is 36 cm. The area of the square, in cm2^2, is

Pick one

Solution

Since the four sides of a square are equal in length and the perimeter is 36 cm, then each side has length 364=9\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 cm2^2, is 9×9=819\times9=81.

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