## Matt71 Group Title A regular hexagon has a total side length of 12, find its area. (Solution please) 2 years ago 2 years ago

1. Calcmathlete Group Title

The formula for the area of a regular polygon is $A = \frac12aP$You have to find the apothem. Do you know how to do that?

2. Matt71 Group Title

Sorry, I really don't

3. Matt71 Group Title

Is there another way?

4. Calcmathlete Group Title

Well, this is the proper way to do this...to find the apothem of a regular hexagon, you have to know the 30-60-90 triangle ratios. |dw:1343526566013:dw| Therefore, the apothem is $$\sqrt{3}$$. You already have the perimeter, so can you finish it up?

5. Matt71 Group Title

I get it, thanks

6. Calcmathlete Group Title

np :)