Question

How do I solve for the area of a regular hexagon? One side is equal to \[5\] feet.

Answer 1

Hint: In the given question, we have been given to calculate the area of a regular hexagon. We have been given that the measure of the side is \[5\] feet. Since it is a regular hexagon, all its sides are equal and equal to \[5\] feet. To solve this question, we need to know the formula of the area of a hexagon and that is the only thing we need to know.

Formula Used:
We are going to use the formula of a regular hexagon,
\[A = \dfrac{{3\sqrt 3 }}{2}{a^2}\]

Complete step by step answer:
We are given a regular hexagon with each side equal to \[5\] feet. We have to find its area.
We just use the formula of area of a hexagon, which is,
\[A = \dfrac{{3\sqrt 3 }}{2}{a^2}\]

Hence,
\[A = \dfrac{{3\sqrt 3 }}{2} \times {5^2} = \dfrac{{75\sqrt 3 }}{2}f{t^2}\]

Note: In the given question, we were given a shape whose area was to be calculated. The only way to calculate it is by knowing the formula of the area of the given shape. So, it is really important that we know the formulae and where, when, and how to use them so that we can get the correct result.