Question

a) If a regular octagon and regular hexagon both have the same side lengths, which will have the greater area?​

Answer 1

Octagon

Explanation:

Formula for a polygon is :

• A = 1/2 x a x P

1. a = apothem (distance from center to the midpoint of a side
2. P = perimeter (sum length of the sides)

Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.