Tyler made a scale drawing of an apartment. The scale of the drawing was 3 millimeters = 1 meter. What is the scale factor of the drawing?

Question

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

Answer 1

The scale of the drawing is 3 millimeters = 1 meter. To find the scale factor, we need to express both measurements in the same units.

1 meter is equal to 1000 millimeters. Therefore, we can rewrite the scale as:

3 millimeters = 1000 millimeters.

Now we can write the scale factor as a ratio of the drawing measurement to the actual measurement:

3 millimeters : 1000 millimeters.

To simplify this ratio, we can divide both sides by 3:

1 : (1000 / 3) = 1 : 333.33 (approximately).

Thus, the simplified scale factor of the drawing is:

1 : 333.33 (or as a ratio, you may express it as 1 : 333 if rounding down is acceptable for your purposes).