Question

on a scale model of a room the scal was 1 cm: 1.5 ft. if the length of the model was 20 cm is the actual length of the room

Answer 1

On a scale model of a room, the scale was 1 cm: 1.5 ft

The length of the model is 20cm

Then the actual length of the room​ in ft is given by

$\frac{1\operatorname{cm}}{1.5\: ft}=\frac{20\operatorname{cm}}{x\: ft}$

Where x is the actual length of the room in ft that we want to find out.

Let us solve for x in the above equation

$\begin{gathered} \frac{1\operatorname{cm}}{1.5\: ft}=\frac{20\operatorname{cm}}{x\: ft} \\ x\: ft=\frac{20\operatorname{cm}\times1.5\: ft}{1\operatorname{cm}} \\ x=30\: ft \end{gathered}$

Therefore, the actual length of the room is 30 ft.