Question

If a regular hexagon has perimeter $1$ m $26$ cm, then find the length of its side?

• A. $21$ cm
• B. $25$ cm
• C. $35$ cm
• D. $52$ cm

Answer 1

The correct option is A $21$ cm

Perimeter of regular hexagon
= $1$ m $26$ cm
= $126$ cm $(1\text{m}=100\text{cm})$

Number of sides in regular hexagon
= 6

Since, perimeter of regular hexagon
= $6\times$ Length of Side

So, Length of a side of regular hexagon
= $\frac{\text{Perimeter of regular hexagon}}{6}$
= $\frac{126}{6}$ cm
= $21$ cm

Therefore, length of a side of regular polygon is $21$ cm.

Hence, (b) is correct.