Question

The perimeter of the rectangular swimming pool is $154m$. Its length is $2m$ more than twice its breadth. What is the length and breadth of the rectangular swimming pool?

Answer 1

Given perimeter of rectangle is $P=154m$
Let Breadth $=B=x$ and length $=L=2x+2$
Then perimeter $=2(L+B)$
$\Rightarrow 154=2(x+2x+2)$
$\Rightarrow \frac{154}{2}=3x+2$
$\Rightarrow 77=3x+2$
$\Rightarrow 77-2=3x$
$\Rightarrow 75=3x$
$\Rightarrow x=\frac{75}{3}$
$\therefore x=25$
So, $B=25$ and $L=2\left(25\right)+2=50+2=52$

Hence, length and breadth of the rectangular swimming pool are $25m$ and $52m$ respectively.