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Suppose the side of the square is x cm.Then its perimeter is 4x cm.

The perimeter of the square is 3 cm more than that of the triangle

so the perimeter of the triangle is 4x - 3 cm.


Also, if the side of the square is x cm, the side of the triangle must be x + 112 cm.

Then its perimeter must be 3*(x + 112) = 3x = 336 cm.


Equating the two expressions for the perimeter of the triangle,

4x - 3 = 3x + 336

therefore x = 339 cm.


The square has sides of 339 cm and a perimeter of 1356 cm.

The triangle has sides of 451 cm and a perimeter of 1353 cm.

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Q: A square has a perimeter that is 3 cm longer than the perimeter of an equilateral triangle the side of the triangle is 112 cm longer than that of the square?
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