Question

ariel drew a scale drawing of a house and its lot. the scale of the drawing was 3 millimeters = 1 meter. what scale factor does the drawing use? simplify your answer and write it as a fraction.

Explanation:

Step1: Convert units to same system

First, we know that 1 meter = 1000 millimeters. The scale is 3 millimeters (drawing) to 1 meter (actual), so we convert 1 meter to 1000 millimeters.

Step2: Find scale factor

The scale factor is the ratio of drawing length to actual length. So it's $\frac{3}{1000}$ (since 3 mm drawing corresponds to 1000 mm actual). This fraction is already in simplest form as 3 and 1000 have no common factors other than 1.

Answer:

$\frac{3}{1000}$