The area of a regular hexagon is 1500 square centimeters. What is its perimeter? Please show working.
The perimeter is approximately
A regular hexagon consists of 6 congruent equilateral triangles, so its area can be calculated as:
The area is given, so we can solve an equation:
to find the length of the hexagon's side
For further calculations I take approximate value of
So the equality becomes:
Now we can calculate the perimeter:
The hexagon can be split into 6 equilateral triangle.
Each triangle has area of
If the length of each triangle is
Looking at 1 triangle, the area is given by half x base x height.
The base is