Question

Find the area of a regular heptagon with a side length of 6 and an apothem of 4.

Answer 1

since it is a regular heptagon, it has all of its sides equal and therefore the area of eaxh triangle in the heptagon would be the same.....
\[A=\frac{ 1 }{ 2 } \times b \times h\]
A=Area of a triangle
b=base
h=height (apothem)

Answer 2

COOL!!!! Thank you!!

I never knew that little line actually had a name!!

Now that said, you now have the base and the height of one triangular face of the heptogon (even though you drew a hexagon), and you should also know that the area of a triangle is:

1/2*B*H

Answer 3

\[A=7(\frac{ 1 }{ 2 } \times 6 \times 4)\]
\[A=??\]