Question

If length of sides of a regular hexagon is an integer value. Which of the following can be the perimeter of the regular haxagon?

• A. $12$ units
• B. $18$ units
• C. $6$ units
• D. All of the above.

Answer 1

The correct option is D All of the above.

Regular hexagon has all its six sides equal. Given that length of each side of the hexagon is an integer.

We know possible integer values for length of a side is $1,2,3,\mathrm{4....}$

We also know that $\text{Perimeter of regular hexagon}=6\times \text{length of each side}$

So, perimeter can be $6$ unit, $12$ units, $18$ units or any integral multiple of 6.

Hence, correct option is $\left(c\right)$.