The length of a room on a scale drawing is 3 cm. If the scale 1 cm:6 ft, what is the actual length of the room?

help please lol

1 answer

To find the actual length of the room, we need to use the scale factor.

The scale factor is the ratio of the length on the drawing to the actual length.

In this case, the length on the drawing is 3 cm, and the scale is 1 cm:6 ft.

So, the scale factor is:

1 cm / 6 ft

To find the actual length of the room, we can set up a proportion:

scale factor = length on drawing / actual length

1 cm / 6 ft = 3 cm / actual length

To solve for the actual length, we can cross-multiply:

1 cm * actual length = 6 ft * 3 cm

actual length = (6 ft * 3 cm) / 1 cm

actual length = 18 ft

Therefore, the actual length of the room is 18 ft.