SOLUTION: when 3 inches are added to each side of a square, its area increases by 57 square inches. What was the perimeter of the initial square?

Question 859523: when 3 inches are added to each side of a square, its area increases by 57 square inches. What was the perimeter of the initial square?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

Let x represent length of each side of original square

 (x+3)^2 = x^2 + 57in^2

 x^2 + 6x + 9 = x^2 + 57

        6x = 48

         x = 8in  and P = 4*8in = 32in      

 

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