In the verge of coronavirus pandemic, we are providing FREE access to our entire Online Curriculum to ensure Learning Doesn't STOP!

Ex.11.1 Q3 Perimeter and Area - NCERT Maths Class 7

Go back to  'Ex.11.1'


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

 Video Solution
Perimeter And Area
Ex 11.1 | Question 3

Text Solution

What is known?

Area and length of rectangular plot of land.

What is unknown?

The breadth of a rectangular plot and its perimeter.


This question is based on the concept of area and perimeter of rectangle.using the formula of area of rectangle, find the breadth of rectangular plot. Now,the length and breadth of the rectangular plot is known, use the formula of perimeter of rectangle and find the perimeter of plot of land.


Area of rectangular plot of land \(= 440 \,\rm{m^2}\)

Length of rectangular plot of land \(= 22 \,\rm{}m\)

Let us say that breadth of rectangular plot of land \(= x \,\rm{}m\)

We know that,

\(\begin{align}&\text{Area of rectangle}\\&= {\rm{Length}} \times {\rm{Breadth}} \end{align} \)

\[\begin{align} {\rm{440}} &= {\rm{22}}\,x\\x &= \frac{{440}}{{22}}\\x &= 20\; \rm m\end{align}\]

So, breadth of rectangular plot of land \(= 20 \,\rm{}m\)

Perimeter of a rectangle

\[\begin{align} &= 2\left( {{\rm{Length}} + {\rm{Breadth}}} \right)\\&= 2\left( {22 + 20} \right)\\ &= 84{\,\rm{ m}}\end{align}\]

Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school