Question

The perimeter of a rectangular swimming pool is $154\mathrm{m}$.

Its length is $2\mathrm{m}$ more than twice its breadth.

What are the length and the breadth of the pool?

Answer 1

Calculate the length and breadth of the rectangular swimming pool.

Let us consider the length and breadth of the rectangular swimming pool are $l$ and $b$respectively.

Since the length is $2\mathrm{m}$ more than twice its breadth.

$\therefore l=2b+2$

$$\begin{gathered} \mathrm{Perimeter}=154\left(\mathrm{Given}\right) \\ \Rightarrow 2(l+b)=154 \\ \Rightarrow l+b=77 \\ \Rightarrow 2b+2+b=77\left[\because l=2b+2\right] \\ \Rightarrow 3b=77-2 \\ \Rightarrow 3b=75 \\ \Rightarrow b=\frac{75}{3} \\ \Rightarrow b=25\mathrm{m} \end{gathered}$$

$\begin{array}{rcl}\therefore l& =& 2\left(25\right)+2\\ & =& 50+2\\ & =& 52\mathrm{m}\end{array}$

Hence, the length and the breadth of the pool are $52\mathrm{m}\mathrm{and}25\mathrm{m}$ respectively.