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 $IJKLMN$.
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 $IJKLMN$.
3 • sqrt(3)
Area of a regular hexagon in terms of its sides is A = –––––––– • a2 where a is the length of a side
2
A = (3)2 • [ 3 • sqrt(3) ] / (2)
A = 27 • sqrt(3) / 2 = 23.38