SOLUTION: If the sides of a square are increased by 4 cm, the area is increased by 4cm square. Find the length of a side of the original square.

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Question 404052: If the sides of a square are increased by 4 cm, the area is increased by 4cm square. Find the length of a side of the original square.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the original square's dimensions are x by x. Then the side length of the new square is x+4, and

%28x%2B4%29%5E2+=+x%5E2+%2B+4

x%5E2+%2B+8x+%2B+16+=+x%5E2+%2B+4

8x+%2B+16+=+4 --> no positive solution.