Question

Find length of each side of a carrom board whose perimeter is $362\text{cm}$.

Answer 1

• The sum of lengths of all the sides of any shape is said to be the perimeter of that shape.
• The shape of the carrom board is square.
• The perimeter $P$ of the square with side $s$ is given by, $P=4\times s$.

Step 1: Substitute $P=362$ into $P=4\times s$ and solve for $s$.

$362=4\times s$

Step 2: Divide both sides of the equation by $4$ and solve for $s$.

$\begin{array}{rcl}\frac{362}{4}& =& \frac{4\times s}{4}\\ 90.5& =& s\end{array}$

Hence, the length of each side of a carrom board is $90.5\text{cm}$.