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 $IJKLMN$.

Use the formula for area of a regular hexagon.

You get \(27\sqrt3 \over 2\).

Rounded to the nearest thousandth, the answer is 28.383