Question

Find the area of the regular polygon.

Answer 1

its 24 not 22.

Answer 2

its supposed to say 24 not 22.

Answer 3

You could find the apothem of the hexagon and use a formula \(A = \frac{1}{2}ap\) where \(a\) is the apothem and \(p\) is the perimeter, which is \(6 \times side~length\)
.

Answer 4

is 6 the preimeter?

Answer 5

whats the length of the apothem?

Answer 6

The perimeter is the distance around the figure -- so, 6*the side length (24 I suppose).

We can find the apothem using a bit of Geometry. The angle from the center of the hexagon between two radii would be 360/6, or 60 in each triangle. Then the apothem divides the angle and the side in half. From there, you can use the fact that its a 30-60-90 triangle to determine the length of the apothem.