A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = \frac{3}{2},$ then find the side length of the hexagon.
A = 6(1/2) s^2 sqrt (3) / 2
3/2 = (3/2) sqrt (3) s^2
1 = sqrt (3) s^2
1/sqrt 3 = s^2
s = sqrt (1 /sqrt 3) = 1 / 4√3