Question

The perimeter of a ractangular swimming pool is 154 m. its length is 2 more than twice its breadth. what are the length and the breadth of the pool ?

Answer 1

Given that the perimeter of swimming pool is $154m$

Let the breadth of the swimming pool be $x$ meter.

Therefore,

Length of the swimming pool $=(2x+2)m$

As we know that,

Perimeter of rectangle $=2(\text{length}+\text{breadth})$

Therefore,

Perimeter of swimming pool $=2((2x+2)+x)$

$\Rightarrow 2(3x+2)=154$

$\Rightarrow 6x+4=154$

$\Rightarrow 6x=154-4$

$\to x=\frac{150}{6}=25$

Therefore, the breadth of the swimming pool is $25m$

Length of swimming pool $=2\times 25+2=52m$

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