Question

2. The perimeter of a rectangular swimming pool is 164m. Its length is 2m more
than twice its breadth. What are the length and breadth of the pool?please solve the que do not copy other que please
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Answer 1

Given :

⬤ Perimeter of Rectangular Swimming pool is 164 m.

⬤ Length is 2 m more than twice its breadth .

To Find :

⬤ Length of Swimming pool .

⬤ Breadth of Swimming pool .

Formula Used :

$\sf[\:{Perimeter\:of\:Rectangle=2(l+b)}\:]$

Solution :

Let :

• Breadth of Swimming pool be = x
• Length of Swimming pool be = 2x + 2

Now : -

According to the Formula :

164 = 2 (l + b)

164 = 2 (2x + 2 + x)

164 = 2 (3x + 2)

164 = 6x + 4

164 - 4 = 6x

160 = 6x

x = 160/6

x = 26.66

Therefore , The Value of x is 26.6 .

Hence ,

Breadth of Swimming pool = x

= 26.66

Length of Swimming pool = 2x + 2

= 2(26.66) + 2

= 53.32 + 2

= 55.32

Therefore , The Length and Breadth of the Rectangular Swimming pool is 55.32 m and 26.66 m .

Answer 2

Given the perimeter of a rectangular swimming pool is 164m and It's length is 2m more than twice its breadth.

We have to find, Length and breadth of the pool.

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Let ,Breadth of the pool be x

and, Length will be (2x + 2)

According to the question,

we know that,

$\star\;{\boxed{\sf{\pink{Perimeter_{\;(rectangle)} = 2 (l + b) }}}}$

Where,

• l = length
• b = breadth.

$:\implies\sf 2 [(2x + 2) + x] = 164$

$:\implies\sf 2 [ 2x + 2 + x ] = 164$

$:\implies\sf 2 [ 3x + 2 ] = 164$

$:\implies\sf 3x + 2 = \cancel{\dfrac{164}{2}}$

$:\implies\sf 3x + 2 = 82$

$:\implies\sf 3x = 82 - 2$

$:\implies\sf 3x = 80$

$:\implies\sf x = \cancel{\dfrac{80}{3}}$

$:\implies{\boxed{\frak{\purple{ x = 26.66 }}}}\\\bigstar$

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Now,

Breadth of the rectangle = 26.66m

Length of the rectangle = 26.66(2) + 2 = 55.32m

$\therefore\;{\underline{\sf{ Hence, \;the\: length\; and \;breadth \;are \;55.32m \;and \;26.66m\; respectively.}}}$