Math, asked by SWASTIKDEBNATH, 10 months ago

please give me the solution of the question no. 8​

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Answers

Answered by TrickYwriTer
1

Step-by-step explanation:

Given -

  • Perimeter of a rectangular swimming pool is 154 m.
  • Its length is 2 m more than twice its breadth.

To Find -

  • Length and breadth of the pool

Let the breadth of the rectanglular pool is x m

Then,

Length is (2x + 2) m

Now,

As Given -

  • Perimeter of rectangular pool = 154 m

» 2(l + b) = 154

» l + b = 77

» (2x + 2) + x = 77

» 3x + 2 = 77

» 3x = 77 - 2

» 3x = 75

» x = 75/3

  • » x = 25 m

Hence,

The breadth of the rectanglular pool is 25 m

And

The length of the rectanglular pool is

(2x + 2)

» 2(25) + 2

» 50 + 2

  • » 52 m

Verification -

Perimeter = 2(l + b)

» 154 = 2(52 + 25)

» 154 = 2(77)

» 154 = 154

LHS = RHS

Hence,

Verified..

Answered by silentlover45
0

  \huge \mathfrak{Answer:-}

\implies Length 52m.

\implies Breadth = 25m

\large\underline\mathrm{Given:-}

  • perimeter of a rectangular swimming pool is 154.
  • it's length is 2m more than twice it's breadth.

\large\underline\mathrm{To \: find}

  • Length and Breadth of the pool.

\large\underline\mathrm{Solution}

  • Let the breadth of the rectangular pool is x m.

\large\underline\mathrm{then,}

\large\underline\mathrm{Length \: is \: (2x \: + \: 2)m}

\large\underline\mathrm{perimeter \: of \: the \: rectangular \: pool \: = \: 154m.}

\implies (2x + 2) = 154

\implies l + b = 77

\implies (2x + 2) + x = 77

\implies 3x + 2 = 77

\implies 3x = 77 - 2

\implies 3x = 75

\implies x = 25

\large\underline\mathrm{hence,}

\large\underline\mathrm{the \: breadth \: of \: the \: rectangular \: pool \: is \: 25m.}

\large\underline\mathrm{and,}

\large\underline\mathrm{the \: length \: of \: the \: rectangular \: pool \: is \: (2x \: +\: 2)}

\implies 2(25) + 2

\implies 50 + 2

\implies 52m.

\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}

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