Question

If the perimeter of a regular hexagon is $xmeters$, then the length of each of its sides is

• A. $6+xmeters$
• B. $6÷xmeters$
• C. $x-6meters$
• D. $x÷6meters$

Answer 1

The correct option is D

$x÷6meters$

As we know that Perimeter of a regular hexagon is the sum of the lengths of all the identical sides of the regular hexagon.
Perimeter is given as $xmetres,$
So the sum of all the identical $6sides$of a hexagon is $xmeters$ ,
In other words $6times$ the length of each side is $x$

$$\begin{gathered} 6\times side=x \\ \Rightarrow side=\frac{x}{6}=x÷6 \end{gathered}$$
Therefore, the length of each side$=(x÷6)$ meters.