Let side of the smaller square as $\"\"$ .

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Let side of the larger square as $\"\"$ .

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Area of the square is $\"\"$ .

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First square has $\"\"$ times the area a the second square is $\"\"$ .

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Apply square root of each side.

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$\"\"$ .

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Find the perimeter of the larger square.

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The perimeter of the smaller square is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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The perimeter of the larger square is $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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The perimeter of the larger square is $\"\"$ .