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


Given: Area of a rectangular plot of land is $440\ m^2$ and length is $22\ m$.

To do: To find the breadth and perimeter of the plot.

Solution: As given here, length of the plot $l=22\ m$

Area of the plot $A=440\ m^2$

Let "$b$" is the breadth of the plot.

We know that, the area of the plot $A=l\times b$

Or $440\ m^2=22\ m\times b$

$\Rightarrow b=\frac{440}{22}$

$\Rightarrow b=20\ m$

And we know the formula for the perimeter of the rectangle $=2(l+b)$

$=2(22+20)$

$=2(42)$

$=84\ m$

Therefore, the breadth of the rectangular plot is $20\ m$ and the perimeter of the rectangular plot is $84\ m$.

Updated on: 10-Oct-2022

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