Question

Find the length and breadth of a rectangle given that its perimeter is $240cm$ and the length is $4$ times its breadth.

Answer 1

Calculate the length and breadth of the given rectangle

Let the length of rectangle be $l$ and breadth of rectangle be $b$.

According to the given information, $l=4b$.

We know that,

Perimeter of rectangle $=2\left(l+b\right)$

$$\begin{gathered} \Rightarrow 2\left(l+b\right)=240 \\ \Rightarrow l+b=120 \\ \Rightarrow 4b+b=120 \\ \Rightarrow 5b=120 \\ \Rightarrow b=24cm \end{gathered}$$

So, from the relation

$$\begin{gathered} l=4\left(24\right) \\ =96cm \end{gathered}$$

Hence, length $=96cm$ and breadth $=24cm$.