Question

Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?

Answer 1

The scale factor Paula used is 2 feet : 3 inches.

Step-by-step explanation:

To find the scale factor, we can set up a proportion using the measurements from the drawing and the actual measurements. We can write the proportion as:

84 inches = 56 feet

We can simplify this proportion by dividing both sides by 4 (since 84 and 56 are both divisible by 4) to get:

21 inches = 14 feet

So the scale factor is 14 feet : 21 inches, which can be simplified further to 2 feet : 3 inches.