A regular hexagon is made up of 6 equilateral triangles.
The area of each equilateral triangle is 93.52 ÷ 6 = 15.58666...
The formula for the area of an equilateral triangle is √3/4·s2
---> √3/4·s2 = 15.586.... (multiply by 4 and divide by √3)
---> s2 = 36
---> s = 6