# SOLUTION: what is the area of a hexagon with an apothem of 4ft?

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 Question 324400: what is the area of a hexagon with an apothem of 4ft?Answer by solver91311(16872)   (Show Source): You can put this solution on YOUR website! Using the properties of a 30-60-90 right triangle, you can readily determine that the measure of the apothem and the radius of the circumcircle (which is equal to the measure of a side of a regular hexagon) are in proportion: Hence a regular hexagon with an apothem of 4 has a side that measures . The perimeter of such a hexagon is simply 6 times the measure of a side, and therefore half of the perimeter is 3 times the measure of a side. The area of a hexagon with perimeter and apothem is given by: John