



 
Hi Susan, You want to cut the string but you don't know the lengths of the two pieces freer the cut. Suppose that the length of one of the pieces is x inches then the length of the other piece must be 8  x inches. You now want to form two squares. Start with the piece of length x inches. If this length is the perimeter of a square then each side of the square is x/4 inches long. The area of this square is then (x/4)^{2} = x^{2}/16 square inches. What is the area of a square with perimeter 8  x inches? The sum of the two areas is 2 square inches. Solve for x. Penny  


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