Question

The length of a rectangular plot is $4\mathrm{m}$ more than its breadth and the perimeter of the plot is $92\mathrm{m}$, find the dimensions of the rectangular plot.

Answer 1

Let the breadth of the rectangular plot be $x$ and the length of the rectangular plot be $x+4$.

$$\begin{gathered} \mathrm{Perimeter}\mathrm{of}\mathrm{the}\mathrm{rectangular}\mathrm{plot}=2\left(\mathrm{length}+\mathrm{breadth}\right) \\ 92=2\left[\left(\mathrm{x}+4\right)+\mathrm{x}\right] \\ 92=2\left[2\mathrm{x}+4\right] \end{gathered}$$

Step2:Find the value of$x$

$$\begin{gathered} 92=4\mathrm{x}+8 \\ 4\mathrm{x}=92-8 \\ 4\mathrm{x}=84 \\ \mathrm{x}=\frac{84}{4} \\ \therefore \mathrm{x}=21 \end{gathered}$$

$\therefore$The breadth of the rectangular plot is $x=21m$

and the length of the rectangular plot is $x+4=21+4=25m$

$\therefore$The breadth and length of the rectangular plot is $21m$ and $25m$.