Answer:
20 feet
Step-by-step explanation:
The scale is 3 inches is to 2 feet
As a ratio, it would be:
[tex]\dfrac{3}{2}[/tex]
The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:
[tex]\dfrac{3inches}{2feet} = \dfrac{30inches}{xfeet}[/tex]
Now to find the missing number, cross multiply the fractions first:
[tex]\dfrac{3}{2}=\dfrac{30}{x}[/tex]
[tex](3)(x)=(2)(30)[/tex]
[tex]3x=60[/tex]
Then solve for x:
[tex]3x=60[/tex]
[tex]x=\dfrac{60}{3}[/tex]
[tex]x=20[/tex]
The answer is 20 feet