Answer:
The correct answer would be - 3ab.
Step-by-step explanation:
Given:
area of polygon = 1/2 (perimeter)(apothem)
let assume the length of a side of the hexagon = x
The length of the apothem = a
Formula used:
the perimeter of polygon = number of sides*length of the side
for hexagon = 6*x .....1
Solution:
As the formula for the area of a polygon is given, and the hexagon is a polygon as it has six sides then the area then,
Area of hexagon = (1/2)* (6x) (a)
= 6ax/2
= 3ax
put the value of a and x and get the numeric value.