The perimeter of rectangular swimming pool is \\\\(154\\ m\\\\) and its length is \\\\(2\\\\) meter more than twice its breadth.\\\\(\ extbf{Step 1: Perimeter of rectangle}\\\\) \\\\(\\boldsymbol{=2\ imes (Length +Breadth)}\\\\) Let the breadth of swimming pool be \\\\(x\\ m,\\\\) then its length will be \\\\((2 x + 2)\\ m\\\\) Perimeter of swimming pool \\\\(= 154\\\\) \\\\(\\Rightarrow 2\ imes (2x+2+x)=154\\\\) \\\\(\\Rightarrow 2x+2+x=\\dfrac{154}{2}\\\\) \\\\(\\Rightarrow 3x+2=77\\\\) \\\\(\\Rightarrow 3x=77-2\\\\) \\\\(\\Rightarrow 3x=75\\\\) \\\\(\\Rightarrow x=\\dfrac{75}{3}\\\\) \\\\(\\Rightarrow x=25\\\\) So, Length of swimming pool \\\\(=2\ imes 25+2\\\\) \\\\(=50+2\\\\) \\\\(=52\\ m\\\\)\\\\(\ extbf{Hence, the length of swimming pool is 52}\\\\) \\\\(\\boldsymbol{m}\\\\) \\\\(\ extbf{and its breadth if 25}\\\\) \\\\(\\boldsymbol {m.}\\\\)