Answer:
The actual length of the room is 40 feet
Step-by-step explanation:
Given
[tex]Scale = \frac{1}{2}\ inch : 12\ feet[/tex]
Required
Determine the actual measurement of [tex]3\frac{1}{3}\ inches[/tex]
Represent the required actual measurement with x
i.e.
[tex]3\frac{1}{3}\ inches : x[/tex]
And we have:
[tex]\frac{1}{2}\ inch : 12\ feet[/tex]
[tex]3\frac{1}{3}\ inches : x[/tex]
Cross Multiply
[tex]x * \frac{1}{2} = 12 * 3\frac{1}{3}[/tex]
Convert fraction to improper fraction
[tex]x * \frac{1}{2} = 12 *\frac{10}{3}[/tex]
[tex]\frac{x}{2} = \frac{120}{3}[/tex]
[tex]\frac{x}{2} = 40[/tex]
Multiply both sides by 2
[tex]x = 40 * 2[/tex]
[tex]x = 80\ feet[/tex]
The actual length of the room is 40 feet
