The base of a regular pyramid is a hexagon. what is the area of the base of the pyramid? enter your answer in the box. express your answer in radical form.

Check the picture below.

since the triangle is a 30-60-90 triangle, we can use the 30-60-90 rule.

now, we know half-side is "b", which is 7, meaning the length of a side in that hexagon is 7+7 or 14.

Since there are 6 sides the "perimeter", namely the sum of its sides is 14*6, or 84.  The length from the center of the regular polygon to a side is the "apothem".