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

Answer:

The length of the pool is 12.5 m.

Step-by-step 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,

$\frac{x}{L}=\frac{w}{W}\\\\\frac{x}{50}=\frac{6.25}{25}\\\\x=\frac{6.25}{25}\times 50=6.25\times 2=12.5\textrm{ m}$

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