Question

Find the breadth of a rectangular plot of land, if its area is $440m^2$ and the length is $22m$. Also find its perimeter..

Answer 1

Step 1. Find the breadth of a rectangular plot of land

We know that

$\mathbf{Area}=\mathbf{Length}\times \mathbf{Breadth}$

Given that the Area$=440m^2$ and Length$=22m$

$\mathbf{Length}\times \mathbf{Breadth}\mathbf{=}\mathbf{Area}$

$$\begin{gathered} \Rightarrow 22\times \mathrm{Breadth}=440 \\ \Rightarrow \mathrm{Breadth}=\frac{440}{22} \\ \Rightarrow \mathrm{Breadth}=20 \end{gathered}$$

Therefore, the Breadth is $20m$

Step 2. Find the perimeter of a rectangular plot of land

We know that

$\mathbf{Perimeter}\mathbf{=}\mathbf{2}\mathbf{(}\mathbf{}\mathbf{Length}\mathbf{+}\mathbf{Breadth}\mathbf{)}$

Given Breadth$=20m$ and Length$=22\mathbf{}m$

$$\begin{gathered} \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{Perimeter}\mathbf{=}\mathbf{2}\mathbf{(}\mathbf{}\mathbf{Length}\mathbf{+}\mathbf{Breadth}\mathbf{)} \\ \Rightarrow \mathrm{Perimeter}=2(22+20) \\ \Rightarrow \mathrm{Perimeter}=2\left(42\right) \\ \Rightarrow \mathrm{Perimeter}=84 \end{gathered}$$

Therefore, the perimeter is $84m$

Hence, the breadth of a rectangular plot of land is $20m$ and the perimeter is $84m.$