the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others
meaning the measure the perimeter is = 6 times the radius
and the radius = 8cm
so perimeter = 6× 8 cm
perimeter = 48cm
since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as
r square root of 3 divided by 2
r = radius = 8 cm
by apply the formula
8square root 3 divided by 2
so the area will be
since the perimeter is 48cm
and the apothem is 8 square root of 3 divided 2
so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .
hope that helps.
