Question

Philip drew a scale drawing of a swimming pool. He used the scale 9 centimeters = 1 meter. What scale factor does the drawing use?

Simplify your answer and write it as a ratio, using a colon.

Answer 1

The scale given is 9 centimeters = 1 meter. To find the scale factor as a ratio, we can express both measurements in the same unit.

Since there are 100 centimeters in a meter, we can also express 1 meter as 100 centimeters. Therefore, we can rewrite the scale as:

9 centimeters = 100 centimeters.

Now, we can express this as a ratio:

\[
\text{Scale Factor} = \frac{9 \text{ cm}}{100 \text{ cm}}.
\]

To simplify this, we can write:

\[
\frac{9}{100}.
\]

This is already in the simplest form, so we can express the scale factor as a ratio:

\[
9 : 100.
\]

Thus, the scale factor used in the drawing is **9:100**.