In hexagon ABCDEF, AB = DE = 2, BC = EF = 4, CD = FA = 6, and all the interior angles are equal. Find the area of hexagon ABCDEF.

Answer 1

Draw diagonals AC and DF. The hexagon is now divided into a parallelogram (rectangle?) and two congruent triangles.

AC and DF can be found using the law of cosines, since all the interior angles are 120 degrees.