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

Ex.3.2 Q5 Pair of Linear Equations in Two Variables Solution - NCERT Maths Class 10

Go back to  'Ex.3.2'


Half the perimeter of a rectangular garden, whose length is \(4 \,\rm{m}\) more than its width, is \(36\,\rm{ m.}\) Find the dimensions of the garden.

 Video Solution
Pair Of Linear Equations In Two Variables
Ex 3.2 | Question 5

Text Solution

What is Known?

(i) Half the perimeter of rectangular garden \( = 36{\rm{\,m }}\)

(ii) Length is \(4{\rm{ \,m}}\) more than width

What is Unknown?

Dimensions of the garden


Assuming length of the garden as \(x\) and width of the garden as \(y,\) two linear equations can be formed for the known data.

Perimeter of rectangle \(=\) 2(Length \(+\) Breadth)


Let the length of the garden be \(x\) and breadth be \(y\)


\[\begin{align}x& = y + 4\\ x - y &= 4\\y &= x - 4\end{align}\]

\(x\) \(8\) \(16\)
\(y = x - 4\) \(4\) \(12\)

Half perimeter of the rectangle be \(x + y = 36\)

\(y = 36 - x\)

\(x\) \(16\) \(26\)
\(y = x - 4\) \(20\) \(10\)

The answer is 

Length \(x = 20{\rm{\; m}}\)

Breadth \(y = 16{\rm{\; m}}\)