Let $IJKLMN$ be a hexagon with side lengths $IJ = LM = 3,$ $JK = MN = 3,$ and $KL = NI = 3$. Also, all the interior angles of the hexagon are equal. Find the area of hexagon $IJKLMN$.
Area = 6 (1/2) (3^2) sqrt (3) / 2 = (27/2)sqrt (3) = (13.5) sqrt (3)