Question

keith measured a house and made a scale drawing. the dining room is 9 millimeters long in the drawing. the actual dining room is 6 meters long. what scale factor does the drawing use? simplify your answer and write it as a fraction.

Explanation:

Step1: Convert units to be consistent

First, convert the actual length from meters to millimeters. Since 1 meter = 1000 millimeters, 6 meters = \(6\times1000 = 6000\) millimeters.

Step2: Calculate the scale factor

The scale factor is the ratio of the drawing length to the actual length. So, the scale factor is \(\frac{9}{6000}\).

Step3: Simplify the fraction

Simplify \(\frac{9}{6000}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 3. \(\frac{9\div3}{6000\div3}=\frac{3}{2000}\).

Answer:

\(\frac{3}{2000}\)