Interior Angles and Side Length Relationships in Polygons

Consider a regular polygon with n sides where each interior angle measures x degrees. The relationship between n and x can be established using the formula:

$$ x =\frac{(n-2) imes 180}{n} $$

Furthermore, it is given that the perimeter of this polygon is P units. Determine the relationship between the number of sides n and the side length s, where s is the length of each side.

Given that the formula for the perimeter of a polygon is:

$$ P = n imes s $$

If the polygon has an interior angle measure of 120 degrees, find the relationship between the number of sides and the length of each side.