Question

1) The perimeter of rectangular swimming pool is 154m
its Length is 2m more than twice its breadth.what are the length and the breadth of the pool?
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Answer 1

Given :

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

To Find :

• Length and Breadth of the pool

Solution :

$\longrightarrow\tt{Let\:the\:Breadth\:be=x}$

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

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

Using Formula :

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

Putting Values :

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

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

$\longrightarrow\tt{77=3x+2}$

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

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

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

$\longrightarrow\tt\bold{x=25m}$

So , The value of x is 25m..

Now :

$\longrightarrow\tt{Breadth=x}$

$\longrightarrow\tt\bold{25m}$

$\longrightarrow\tt{Length=2(25)+2}$

$\longrightarrow\tt{50+2}$

$\longrightarrow\tt\bold{52m}$

_____________________

VERIFICATION :

$\longrightarrow\tt{154=2(2(25)+2+25)}$

$\longrightarrow\tt{154=2(50+2+25)}$

$\longrightarrow\tt{154=2(77)}$

$\longrightarrow\tt\bold{154=154}$

Hence Verified

Answer 2

Given ,

• Perimeter of rectangle = 154 m
• Length is 2 m more than twice its breadth

Let ,

• Breadth of rectangle be " x "
• Then , Length = 2x + 2

We know that ,

The perimeter of rectangle is given by

Perimeter = 2(l + b)

Thus ,

154 = 2(2x + 2 + x)

77 = 3x + 2

3x = 75

x = 75/3

x = 35 m

$\sf \therefore \underline{The \: length \: and \: breadth \: of \: rectangle \: are \: 72 \: m \: and \: 35 \: m</p><p>}$