Question

Zack drew a scale drawing of a theater. In real life, the stage is 60 feet long. It is 165 incheslong in the drawing. What scale did Zack use for the drawing?

Answer 1

The scale factor is 11/48

Explanation:

The scale factor is the quotient of the values between what is real and what is drawn.

But we must have the same units of measurements, therefore we will change the feet to inches, knowing that 12 inches is a foot, in the following way:

`\begin{gathered} 60\text{ ft}\cdot\frac{12\text{ in}}{1\text{ ft}}=720\text{ in} \\ \text{therefore, the scale factor is:} \\ f=(165)/(720)=(11)/(48) \end{gathered}`