Question

devon drew a scale drawing of an apartment. a rug by the door, which is 6 feet long in real life, is 2 inches long in the drawing. what is the scale factor of the drawing? simplify your answer and write it as a fraction.

Explanation:

Step1: Convert units to be consistent

First, convert the real length from feet to inches. Since 1 foot = 12 inches, 6 feet = \(6\times12 = 72\) inches.

Step2: Calculate the scale factor

The scale factor is the ratio of the drawing length to the real length. The drawing length is 2 inches and the real length is 72 inches. So the scale factor is \(\frac{2}{72}\).

Step3: Simplify the fraction

Simplify \(\frac{2}{72}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \(\frac{2\div2}{72\div2}=\frac{1}{36}\).

Answer:

\(\frac{1}{36}\)