Question

An Olympic size swimming pool has a length of 50 m and a width of 25 m. Elizabeth wants to build a similar pool. If her pool has a width of 6.25 m, what is the length of the pool?

Answer 1

The length of the pool is 12.5 m.

Explanation:

Length of the Olympic size swimming pool,
`L=50\textrm{ m}`

Width of the Olympic size swimming pool,
`W=25\textrm{ m}`

Width of the similar pool,
`w=6.25\textrm{ m}`.

Let the length of the similar pool be
`x` m.

Now, if the two pools are similar, then their corresponding sides are proportional. This gives,

`(x)/(L)=(w)/(W)\\\\(x)/(50)=(6.25)/(25)\\\\x=(6.25)/(25)* 50=6.25* 2=12.5\textrm{ m}`

Therefore, the length of the similar pool is 12.5 m.