Hi, 

Let x represent the length of each side of the square. (x+12ft) the diagonal.

applying the Pythagorean theorem (with the diagonal being the hypotenuse)

x^2 + x^2 = (x + 12)^2

2x^2 = x^2 + 24x + 144ft^2

x^2 -24x - 144  = 0

using the quadratic equation to solve













x = 28.971

x = -4.971

 

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