question_answer

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 the breadth of the pool?      

Answer:

Let the breadth of the pool be x m

Then the length of the pool = (2x + 2) m

\[2(2x+2+x)=154\]

or,               \[\frac{2(2x+2+x)}{2}=\frac{154}{2}\]

[Dividing both sides by 2]

or,                              3x + 2 = 77

or,      \[3x+2-2=77-2\]

[Subtracting 2 from both sides]

or,               3x=75

or,        \[\frac{3x}{3}=\frac{75}{3}\]

[Dividing both sides by 3]

or,          x = 25 m

Length of the pool

\[=2x+2=2\times 25+2=50+2=52m.\]

Hence, the length and the breadth of the pool is 52 m and 25 m, respectively.