A rectangular swimming pool has a length of 25 meters and a width of 10 meters. If the pool is enlarged so that the length becomes 40 meters, what is the scale factor of the enlargement?

To find the scale factor of the enlargement, we can compare the new dimensions of the pool to the original dimensions.

The original length of the pool is 25 meters, and the enlarged length is 40 meters.

The scale factor is calculated as:

\[
\text{Scale Factor} = \frac{\text{New Length}}{\text{Original Length}} = \frac{40 \, \text{meters}}{25 \, \text{meters}}
\]

To simplify this, we divide:

\[
\frac{40}{25} = \frac{40 \div 5}{25 \div 5} = \frac{8}{5}
\]

Thus, the scale factor of the enlargement is:

\[
\frac{8}{5}
\]

Therefore, the scale factor of the enlargement is \(1.6\) (or \( \frac{8}{5} \) in fractional form).