Question
The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plot is 142 m, find the length and the breadth of the plot.
✓
Answer
Let the length of a rectangular plot $=x$
and the breadth of a rectangular plot $=y$
According to the condition,
$ x=y+5 $...(i)
and $2(x+y)=142$
$ \Rightarrow x+y=\frac{142}{2}=71 $
$ \Rightarrow x+y=71 $...(ii)
Now, substitute the value of eq. (i) in eq (ii)
$ \begin{aligned} & y+5+y=71 \\ & \Rightarrow 2 y=71-5 \\ & \Rightarrow y=\frac{66}{2}=33 \end{aligned} $
Now, put the value of $y$ in eq. (i)
$ x=33+5=38 $
$\therefore$ The length of rectangular plot is $38 \mathrm{~m}$ and breadth is $33 \mathrm{~m}$.
and the breadth of a rectangular plot $=y$
According to the condition,
$ x=y+5 $...(i)
and $2(x+y)=142$
$ \Rightarrow x+y=\frac{142}{2}=71 $
$ \Rightarrow x+y=71 $...(ii)
Now, substitute the value of eq. (i) in eq (ii)
$ \begin{aligned} & y+5+y=71 \\ & \Rightarrow 2 y=71-5 \\ & \Rightarrow y=\frac{66}{2}=33 \end{aligned} $
Now, put the value of $y$ in eq. (i)
$ x=33+5=38 $
$\therefore$ The length of rectangular plot is $38 \mathrm{~m}$ and breadth is $33 \mathrm{~m}$.
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