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Answer :

Let the breadth of the rectangular swimming pool be x

Condition I: Length of the pool = (2x + 2) m.
Condition II: Perimeter of the pool =2×(length+breadth)

\(\Rightarrow\)2×(2x+2+x)= 154 m.

\(\Rightarrow\)2 × [3x + 2] = 154

\(\Rightarrow\) 6x + 4 = 154 [solving the bracket]

\(\Rightarrow\) 6x+4-4 = 154 – 4 [subtracting 4 from both the sides]

\(\Rightarrow\) 6x = 150

\(\Rightarrow\) 6x÷6 = 150 ÷ 6 [dividing 6 on both the sides]

\(\Rightarrow\) x = 25

Thus, the required breadth x= 25 m

and the length = 2×x + 2 = 2×25+2=50 + 2 = 52 m.

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