Question

The perimeter of a recatangular swimming pool is 154. its length is 2m more than twice its breadth. find the length and breadth

Answer 1

Given :

The Perimeter of a rectangular swimming pool is 154 m.

Length is 2 m more than twice its breadth.

To Find :

Length and Breadth of the pool .

Solution :

$\longmapsto\tt{Let\:breadth\:be=x}$

As Given that length is 2 m more than twice its breadth. So ,

$\longmapsto\tt{Length=2x+2}$

Using Formula :

$\longmapsto\tt\boxed{Perimeter\:of\:Rectangle=2(l+b)}$

Putting Values :

$\longmapsto\tt{154=2(2x+2+x)}$

$\longmapsto\tt{\cancel\dfrac{154}{2}=3x+2}$

$\longmapsto\tt{77-2=3x}$

$\longmapsto\tt{75=3x}$

$\longmapsto\tt{x=\cancel\dfrac{75}{3}}$

$\purple\longmapsto\:\large\underline{\boxed{\bf\blue{x}\pink{=}\red{25}}}$

Therefore :

$\longmapsto\tt{Length\:of\:pool=2(25)+2}$

$\longmapsto\tt\bf{52\:m}$

$\longmapsto\tt{Breadth\:of\:pool=x}$

$\longmapsto\tt\bf{25\:m}$