If one side of a square is increased by 2cm and the other side by 1cm, the area of the rectangle is 14cm2 more than that of the square, then the length of the original square is______ cm．

Let the length of the original square be xcm. According to the meaning of the question, the equation can be (x + 2) (x + 1) = x2 + 14. After solving and testing, we get x = 4. Answer: the length of the original square is 4cm

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