Question

$Rosa is checking the distance between two rooms on a blueprint. Theblueprint uses a scale in which 4 centimeters equals 18 feet. If thedistance on the blueprint is 13.5 centimeters, how far is it betweenthe rooms, in feet? Your answer can be exact or rounded to twodecimal places.label optional|<2f(x) RXX

Answer 1

The blueprint is drawn using a scale of 4 cm to 18 ft.

The distance between the two rooms on the blueprint is 13.5 cm, to determine the distance between the rooms in feet, you can use cross multiplication:

4 cm ______ 18 ft

13.5 cm ____ x ft

Both relationships are at the same ratio so that:

$\begin{gathered} \frac{18}{4}=\frac{x}{13.5} \\ \frac{9}{2}=\frac{x}{13.5} \\ 13.5*\frac{9}{2}=13.5*\frac{x}{13.5} \\ 60.75=x \end{gathered}$

The distance between the rooms is x= 60.75 ft.