Question

Mandy drew a scale drawing of a house and its lot. The scale she used was 1 millimeter = 1 meter. What is the scale factor of the drawing?

Simplify your answer and write it as a fraction.

Answer 1

To find the scale factor of Mandy's drawing, we start with the given information: 1 millimeter on the drawing represents 1 meter in reality.

We can express this as a ratio:

\[
\text{Scale Factor} = \frac{\text{Drawing Length}}{\text{Actual Length}} = \frac{1 \text{ mm}}{1 \text{ m}}
\]

To express this ratio in a standard form, we need to convert meters to millimeters. We know that:

\[
1 \text{ m} = 1000 \text{ mm}
\]

Therefore, we can rewrite the scale factor as:

\[
\frac{1 \text{ mm}}{1 \text{ m}} = \frac{1 \text{ mm}}{1000 \text{ mm}}
\]

Now, simplifying this fraction:

\[
\frac{1}{1000}
\]

Thus, the scale factor of the drawing is:

\[
\boxed{\frac{1}{1000}}
\]