If the formula for the area of a polygon is 1/2 (perimeter)(apothem), the area of the hexagon is ___ 3 square units

The correct answer would be - 3ab.

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.