Math, asked by utdltustidfykyif, 5 months ago

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

Answers

Answered by Anonymous
5

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.}}}

Answered by rohit208981
0

Answer:

no it's length will be 82 m

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