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Geometry Difficulty 1.9 Junior Find the answer

A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?

Pick one

Solution

The perimeter of the triangle is 6.1+8.2+9.7=246.1+8.2+9.7=24 cm. A square's perimeter is four times its sidelength, since all its sidelengths are equal. If the square's perimeter is 2424, the sidelength is 24/4=624/4=6, and the area is 62=(C) 366^2=\boxed{\textbf{(C)}\ 36}.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.