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

Let the breadth of the pool be x m.
Then, the length of the pool = (2x+2)m
Perimeter = 2(l+b)
⇒ 154 = 2(2x+2+x)
⇒ 154/2 = 2(2x+2+x)/2 [Dividing both sides by 2]
⇒ 77=3x+2
⇒ 77-2=3x+2-2 [Subtracting 2 from both sides]
⇒ 75=3x
⇒ 75/3=3x/3 [Dividing both sides by 3]
⇒ 25=x ⇒ x=25
Length of the pool= 2x+2=2×25+2=50+2=52 m, Breadth of the pool=25m Hence, the length of the pool is 52 m and breadth is 25 m.

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