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
o 4
o 1 3/5
o 5/8
o 1/4

Answer 1

To find the scale factor of the enlargement, we 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 after enlargement is 40 meters. Plugging the values in:

\[
\text{Scale Factor} = \frac{40}{25}
\]

To simplify this, we can divide both the numerator and the denominator by 5:

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

So the scale factor is \( \frac{8}{5} \) or \( 1.6 \).

However, if we were to express \( \frac{8}{5} \) as a mixed number, it would be:

\[
1 \frac{3}{5}
\]

Thus, the scale factor of the enlargement is **\( 1 \frac{3}{5} \)**.