Question

A piece of string is $30\text{cm}$ long. What will be the length of each side if the string is used to form a regular hexagon?

Answer 1

Step 1: Let the side of the hexagon be $s$. The perimeter, $P$ of the regular hexagon is, $P=6s$. Substitute $P=30$ into the formula of perimeter and solve for $s$.

$\begin{array}{rcl}P& =& 6s\\ 30& =& 6s\end{array}$

Step 2: Divide both sides of the equation by $6$ and solve for $s$.

$\begin{array}{rcl}\frac{30}{6}& =& \frac{6s}{6}\\ 5\text{cm}& =& s\end{array}$

Hence, the side of the regular hexagon is, $5\text{cm}$.