Given the information on the picture, we can find the apothem of the hexagon using the following formula:
in this case, we have the following:
now that we have that the apothem is a = 10.4, we can find easily the perimeter by multiplying by 6 the measure of the side:
finally, now that we have the perimeter is P = 72 cm and the apothem, we can find the area of the hexagon:
therefore, the area of the hexagon is 374.4cm^2