What is the area of a regular hexagon with apothem 7.5 inches? What is its perimeter?
1 Answer
Nov 22, 2015
A hexagon can be split up into 6 equilateral triangles.
If one of these triangles has a height of 7.5 in, then (using the properties of 30-60-90 triangles, one side of the triangle is
Since the area of a triangle is
For the perimeter, again, you found one side of the triangle to be
This is also the side of the hexagon, so multiply this number by 6.