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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Length = (Perimeter - twice width) / 2
If you are given the width and the perimeter, then figure out what the length is then calculate the area... hope this helps :)
The perimeter of a rectangle is given by:P = 2l + 2w, where P is the perimeter of the rectangle, l is the length of the rectangle, and w is the width of the rectangle.P = 2(15) + 2(10) = 50 meters.
If the area is already given, there should also be either width or length given. Do the area, divided by the length or the width. For example, the area divided by the width equal the length. Hope it helps.
Divide the perimeter by 4 and then square the result to find the area of the square.