Question

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

Answer 1

The breadth is x.
The length is 2 m more than twice the breadth, so it's 2x+2.
The perimeter of a rectangle is twice the sum of the length and the breadth. The perimeter is 154 m.


`2(x+2x+2)=154 \\ x+2x+2=(154)/(2) \\ 3x+2=77 \\ 3x=77-2 \\ 3x=75 \\ x=(75)/(3) \\ x=25 \Leftarrow \hbox{the breadth} \\ \\ \hbox{the length:} \\ 2x+2=2 * 25+2=50+2=52`

The length of the swimming pool is 52 m, the breadth is 25 m.