Question 352672
HI,
*Note: the  2 diagonals of a square are Of equal length.  Diagonals form a right trangle with the length and width, with the diagonal being the hypotenuse.
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Pythagorean Theorem gives the realtionship between the sides of a right triangle(sides meeting at a right angle) and its hypotenuse.
{{{a^2 + b^2 = c^2}}}
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Let x be the length of the each side of the square

{{{x^2 + x^2 = 6ft^2}}}
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{{{2x^2 = 36ft^2}}}
{{{x^2 = 18ft^2}}}
{{{x = sqrt(18ft^2) = sqrt(9 * 2)ft^2 = 3*sqrt(2) ft}}}
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{{{P = 4* 3* sqrt(2)ft = 12* sqrt(2)}}}