Question

The perimeter of a rectangular park is $84m.$Its length is $24m.$Find its breadth.

Answer 1

Here, the perimeter is $84m.$

And length =$24m$

Let breadth be$x$.

Now, we know that ;

perimeter $=2\times (length+breadth)$

$$\begin{gathered} =2\times (24+x) \\ =48+2x \end{gathered}$$

So,

$$\begin{gathered} \Rightarrow 48+2x=84 \\ \Rightarrow 2x=84-48 \\ \Rightarrow 2x=36 \\ \Rightarrow x=\frac{36}{2} \\ \Rightarrow x=18m \end{gathered}$$

Hence, breadth=$18m.$