Question

A room is 18ft long by 18ft wide. A blueprint shows the room to be 3.5 inches long. What is the width of the room in the blueprint?

Answer 1

Um...wouldn't that be 3.5 inches?

Answer 2

Length of width in the blueprint is 3.5 inches

Explanation:

We have given dimensions of a room as 18ft long by 18ft wide.

To represent this room dimensions in a blueprint, the dimensions of room is re-scaled as :

By length it is represented as 3.5 inches long

So we can find scaling factor here as:

Scaling factor = 3.5 / 216 (Since 18 ft = 216 inches)

Scaling factor = 7/432

Now, to get width of room in the blueprint, we multiply actual length of width by the scaling factor.

Length of width in blueprint = scaling factor * width(in inches)

Length of width in blueprint = (7/432 ) * 216 , (Since 18ft = 216 inches)

Length of width in blueprint = 3.5 inches

So we get length of width in blueprint is 3.5 inches