Question

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

Answer 1

Answer:

L = 52

B= 25

Step-by-step explanation:

perimeter of rectangle ,

2(L+B) = 154 m

L+B= 77 m --------(1)

condition given,

Its length is 2m more than twice its breadth.

let's take B as x.so,

L : B

2x+2 : x

substitute L & B in 1,

x = 25m

substitute x value in ratios,

L : B

2x+2 : x

2(25)+2:25

52 : 25

L = 52m

B= 25m

Answer 2

Given :

• Perimeter of pool is 154 m .
• Length is 2m 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 2m more than twice its breadth. So ,

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

Using Formula :

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

Putting Values :

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

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

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

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

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

$\longmapsto\tt\bf{x=25}$

• Value of x is 25 .

Therefore :

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

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

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

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