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First of all, there is no reason to assume, from the question, that the area is in the form of a rectangle.

Even if it were, the length can have any value greater than or equal to sqrt(2000) = 44.721 m (approx)

Let L be any number greater than or equal to 44.721

and let W = 2000/L

Then the area L*W = L*2000/L = 2000

and since there are an infinite number of possible values of L, there are infinitely many possible answers to the question.

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Q: What is is the length and width of 2000 square meters?
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