Question

Question 2
The perimeter of a rectangular swimming pool is 154m. Its length is 2m more than twice its breadth. What are the length and breadth of the pool ?

Answer 1

Let the breadth of the pool be xm.
Then,the length of the pool =(2x+2)m
perimeter = 2$\times$(l+b)
$\Rightarrow 154=2(2x+2+x)\Rightarrow \frac{154}{2}=\frac{2(2x+2+x)}{2}$ [Dividing both sides by 2]
$\Rightarrow 77=3x+2\Rightarrow 77-2=3x+2-2$ [Subtracting 2 from both sides]
$\Rightarrow 75=3x\Rightarrow \frac{75}{3}=\frac{3x}{3}$ [Dividing both sides by 3]
$\Rightarrow 25=x\Rightarrow x=25m$
Hence,length of the pool =2x+2= 2 x 25+ 2= 50+ 2 = 52m and breadth of the pool = 25 m