Question

the perimeter of a rectangular swimming pool is 194m . its lenght is 1 m less than 5 times its breadth . what are the length and breadth of the pool?
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Answer 1

Answer:

Length + breadth = 154/2 = 77m. B, breadth = 25 m and L, length of the pool = 52 m. Originally Answered: The perimeter of a rectangular swimming pool is 154 m. It's length is 2 m more than twice its breadth.

Step-by-step explanation:

Mark On Brianliest

Answer 2

$\huge\mathfrak\blue{Answer:}$

Given:

• Given a rectangular swimming pool having perimeter 194m
• Length is 1 m less than 5 times the breadth of swimming pool

To Find:

• We have to find the length and breadth of given pool

Solution:

Let us assume that

$\boxed{\text{Breadth of Pool = x} }$

Length is 1 m less than 5 times the breadth of swimming pool

$\boxed{\text{Length of Pool = 5x - 1}}$

$\underline{\large\mathfrak\red{According \: to \: the \: Question:}}$

$\implies \sf{Perimeter = 194 \: m }$

$\implies \sf{2( Length + Breadth) = 194}$

$\implies \sf{2(5x - 1 + x ) = 194}$

$\implies \sf{6x - 1 = 97}$

$\implies \sf{6x = 98}$

$\implies \sf{x = \dfrac{98}{6}}$

_______________________________

$\odot \: \: \underline{\text{Length of Rectangle} }$

$\implies \sf{Length = 5 \times \left ( \dfrac{98}{6} \right ) - 1 }$

$\implies \sf{\dfrac{490}{6} - 1 }$

Taking LCM on Right Hand Side

$\implies \sf{\dfrac{490-6}{6} }$

$\implies \sf{Length = \dfrac{484}{6} }$

_______________________________

$\huge\underline{\sf{\red{A}\orange{n}\green{s}\pink{w}\blue{e}\purple{r}}}$

$\large\boxed{\sf{\purple{Length \: of \: Pool = \dfrac{484}{6} \: m}}}$

$\large\boxed{\sf{\red{Breadth \: of \: Pool = \dfrac{98}{6} \: m }} }$

_________________________________

$\huge\mathtt\green{Verification:}$

☞ Perimeter of Rectangle is 194 m

$\mapsto \boxed{\sf{Perimeter = 2 \: ( \: Length + Breadth \: )} }$

$\mapsto \sf{P = 2 \left ( \dfrac{484}{6} + \dfrac{98}{6} \right ) }$

$\mapsto \sf{P = 2 \left ( \dfrac{484 + 98}{6} \right ) }$

$\mapsto \sf{P = 2 \times \dfrac{582}{6} }$

$\mapsto \sf{P = 194 \: m }$

$\large\red{\underline{\underline{\sf{Hence \: Verified \: !!! }}}}$