Assume each side of the hexagon is worth 10 units. Calculate the apothem, using the fact that it is part of a special triangle to get the answer exactly. Then use the exact value of the apothem to calculate the area of the hexagon.

Answer 1

the apothem is the altitude of an equilateral triangle of side 10: 5√3

area = 1/2 apothem * perimeter = 1/2 * 5√3 * 10 = 25√3

Answer 2

5√3