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You cannot.

First of all you need to assume that the figure in question is a quadrilateral and not a triangle of polygon with 5 or more sides. Even so, for a given perimeter there are infinitely many combinations of length and width.

Here is an illustration, using perimeter = 12 units

(L,W) = (3,3), (3.1,2.9), (3.01,2.99)

In general, L = any number, rational or irrational, between 3 and 6 and W = 6-L will result in the perimeter being 12.

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Q: How do you find length and width if perimeter is given?
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