2.  Given a regular polygon, you can find its area by dividing the polygon into congruent, non- overlapping, equilateral triangles.

3. Here a pentagon is separated into 5 congruent, non-overlapping, equilateral triangles.

4.  In order to determine the area of this pentagon, simply determine the area of one triangle, and multiply that number by 5.

5. 5 5 5 5 5 Altitude of a triangle. 3.44

6.  If you have a regular polygon with n sides, you can still divide this polygon into n congruent, non- overlapping, equilateral triangles.

7.  The area of any regular polygon can be given by the following formula.

8. Here, a represents the apothem of the polygon, and p represents the perimeter of the polygon.

9.  An apothem of a polygon is the altitude of a triangle from the center of the polygon to a side of the polygon.

10. 5 5 5 5 5 Apothem 3.44

11. 2 2 2 2 2 2 √3 Determine the area of this hexagon.

12. 2 2 2 2 2 2 √3

13. Substitute in values and simplify Area of the hexagon

14. 4 4 4 4 4 4 4 Determine the area of this heptagon.

15. 8

16.  The area of the polygon in practice problem 1 is approximately 48 square units.  The area of the polygon in practice problem 2 is approximately 194 square units.