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Questions  >>  Olympiad-Math  >>  Class 8
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Q)

The perimeter of a rectangular swimming pool is $154\;m$ Its length is 2 m more than twice is breadth , What are the length and breadth of the pool ?

$\begin{array}{1 1} 52\;m,25\;m \\26\;m,27\;m\\28\;m,57\;m \\56\;m,25\;m \end{array} $

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A)
Let the breadth be $x\; m$
The length will be $(2x+2)\;m$
Perimeter of swimming pool $=2(l+b)=154\;m$
$=> 2(2x+2+x)=154$
$=> 2(3x+2)=154$
$3x+2=\large\frac{154}{2}$
$3x+2=77$
$3x=77-2$
$3x=75$
$x=25$
breadth $= 25\;m$
length $=(2 \times 25 +2)$
$\qquad= 52\;m$
Answer : $ 52\;m,25\;m$
 
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A)
Let the breadth be x m Lenght will be (2x+2)m Perimeter of swimming pool is 2(l+b)=154m =2(x+2x+2)=154m =3x+2=154/2 =3x+2=77m =3x=77-2 =3x=75m Sol:-x=75/3 x=25m Breadth=25m Length=25×2+2 50+2 =52m
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