Find the area of the regular hexagon if a side is 20 cm. round to the nearest whole number.
a.) 886 cm^2
b.) 1673 cm^2
c.) 1039 cm^2
d.) 2079 cm^2

1039 cm^2.

Step-by-step explanation:

The internal angle of a regular hexagon = 120 degrees.

A regular hexagon can be broken up into 6 isosceles triangles  with base 20 cm. The base angle of one of these triangle = 1/2 * 120 = 60 degrees.

So the height of a triangle is calculated from  the equation tan 60 = h / 10 so h = 10 tan 60

and the area of  a triangle =  1/2 base * height

= 1/2  * 20 * 10 tan60

= 173.205 cm^2

making the area of the hexagon

= 6 * 173.205

= 1039 cm^2.