Question

If the perimeter of a regular hexagon is $x$ metres, then what is the length of each of its sides?

• A. $\frac{6}{x}$ metres
• B. $2x$ metres
• C. $\frac{x}{6}$ metres
• D. $6x$ metres

Answer 1

The correct option is C $\frac{x}{6}$ metres

Perimeter of a polygon is the total length of the boundary i.e. total distance around a closed shape.

In a regular hexagon, there are 6 equal sides.
Let the length of each side be $a$ metres.

Then, perimeter of hexagon
= $a$ + $a$ + $a$ + $a$ + $a$ + $a$ = 6$a$

Given that, perimeter = $x$ meters
So, 6$a$ = $x$
$a$ = $\frac{x}{6}$
Hence, each side of the hexagon is $\frac{x}{6}$ metres.