How to find the area of the base of a pyramid, knowing that all of its edges are 4?

If all the edges of the pyramid are equal to each other, then such a pyramid is regular, which means that a regular polygon lies at its base.
A regular polygon is a convex polygon, all sides of which are equal to each other, and also all angles are equal.
The area of a regular polygon with the number of sides n and the length of side a is found by the formula:
S = (n * a² * ctg (π / n)) / 4.
Thus, if all the edges of the pyramid are equal to 4, then the area of its base will be equal to:
S = (n * 4² * ctg (π / n)) / 4 = 4 * n * ctg (π / n).