What is the perimeter of a square whose diagonal is #3sqrt2#?

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Answer 1 · 2016-04-28T05:05:33

The perimeter would be 12 units.

To find the perimeter of a square with a diagonal of #3sqrt2# we must first determine the length of the sides of the square.

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A square cut by a diagonal is divided into a #45^o-45^o-90^o# triangle which has a special ration of #a-a-asqrt2#

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This means the sides of the square are #s =3#

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The perimeter of a square is determines by the equation #P=4s#

#P=4(3)= 12#