Question

A room has a length of 7 m.

A scale diagram is drawn of the room.
In the diagram, the room has a length of 1 cm.
What is the scale of the diagram?
Give your answer as a ratio in the form 1 : k, where k is an integer.

Answer 1

If you convert 7m to centimetres you get 700

Answer 2

Explanation:

A ratio is used in scale drawings of maps and buildings.

That is:

The scale of a drawing = Drawing Length : Actual Length

A scale is usually expressed in one of two ways:

-using units as in 1 cm to 1 km

-without explicitly mentioning units as in 1 : 100,000.

A scale of 1 : 100,000 means that the real distance is 100,000 times the length of 1 unit on the map or drawing.

In your case, where the room has a length of 7m and 1cm on the diagram:

1 cm to 7m = 1cm : 7m

= 1cm : 700cm

= 1 : 700