The area of a regular hexagon is six times the area of central equilateral triangle.


You are given the apothem =  of the regular hexagon, which is the altitude of the equilateral triangle.


Let x be the side length of the hexagon.

It is also the side length of the equilateral triangle.


In an equilateral triangle with the side length x the altitude is  .   //  Every student who study/studied Geometry must know it.


Therefore,   = ,  which implies  x= 4.


Thus the side length of the regular hexagon is 4 units, same as the side length of the equilateral triangle.


Hence, the area of the equilateral triangle is   =  square units.


Then the area of the given hexagon is 6 times this value, i.e.  square units.