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?

Given: 

The perimeter of a rectangular swimming pool is \( 154 \mathrm{~m} \). Its length is \( 2 \mathrm{~m} \) more than twice its breadth.

To do:

We have to find the length and the breadth of the pool.

Solution:

Let the breadth of the pool be $x\ m$

This implies,

The length of the pool $=(2x+2)\ m$

We know that,

Perimeter of a rectangle of length $l$ and breadth $b$ is $2(l+b)$

Therefore,

Perimeter of the rectangular swimming pool $= 154\ m$

Perimeter $=2(x + 2x + 2)$

$2(3x+ 2) = 154$

$3x + 2 = \frac{154}{2}$

$3x+2= 77$

$3x = 77 - 2$

$3x= 75$

$x = \frac{75}{3}$

$x= 25\ m$

This implies,

The length of pool $= 2x + 2$

$= 2(25) + 2$

$= 50 + 2$

$= 52\ m$

Breadth $= x =25\ m$

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

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Updated on: 10-Oct-2022

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