What is the area of a hexagon whose perimeter is 24 feet?
2 Answers
See a solution process below:
Explanation:
Assuming this is a regular hexagon (all 6 sides have the same length) then the formula for the perimeter of a hexagon is:
Substituting 24 feet for
Now we can use the value for
Substituting
or
Explanation:
We need to assume that it is a regular hexagon - meaning that all the six sides and angles are equal,
If the perimeter is
A hexagon is the only polygon which is made up of equilateral triangles.
In this hexagon, the sides of the hexagon and therefore the sides of the triangles are all
Using the trig Area formula,
If you calculate it you will get