Question
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
Answers
GPT-4o mini
To find the scale factor of the enlargement, you can use the formula:
\[
\text{Scale Factor} = \frac{\text{New Length}}{\text{Original Length}}
\]
In this case, the original length of the pool is 25 meters, and the new length is 40 meters.
So the scale factor is:
\[
\text{Scale Factor} = \frac{40}{25} = \frac{8}{5} = 1.6
\]
Therefore, the scale factor of the enlargement is 1.6.
\[
\text{Scale Factor} = \frac{\text{New Length}}{\text{Original Length}}
\]
In this case, the original length of the pool is 25 meters, and the new length is 40 meters.
So the scale factor is:
\[
\text{Scale Factor} = \frac{40}{25} = \frac{8}{5} = 1.6
\]
Therefore, the scale factor of the enlargement is 1.6.