SOLUTION: Let IJKLMN be a hexagon with side lengths IJ = LM = 2, JK = MN = 2, and KL = NI = 2. Also, all the interior angles of the hexagon are equal. Find the area of hexagon IJKLMN.

Question 1210524: Let IJKLMN be a hexagon with side lengths IJ = LM = 2, JK = MN = 2, and KL = NI = 2. Also, all the interior angles of the hexagon are equal. Find the area of hexagon IJKLMN.
Answer by ikleyn(53646) (Show Source): You can put this solution on YOUR website!
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Let IJKLMN be a hexagon with side lengths IJ = LM = 2, JK = MN = 2, and KL = NI = 2.
Also, all the interior angles of the hexagon are equal. Find the area of hexagon IJKLMN.
~~~~~~~~~~~~~~~~~~~~~~~~

From the problem, all 6 sides have the same length of 2 units,
and all interior angles are equal.


So, we have a regular hexagon.


Its area is 6 times the area of the equilateral central triangle with the side length of 2 units.


So, the answer to the problem is   =  =  = 10.3923 square units, approximately.

Solved.

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