Darren measured an office and made a scale drawing. The scale of the drawing was 1 inch = 1 foot. What is the scale factor of the drawing?

Question

Simplify your answer and write it as a ratio, using a colon.

Answer 1

To find the scale factor of the drawing in its simplest form, we can start with the scale given:

1 inch = 1 foot.

To express this scale as a ratio, we need to convert the units so they are the same. We know that 1 foot is equal to 12 inches. Therefore, we can rewrite the scale as follows:

1 inch = 12 inches.

Now, we can express the scale factor as a ratio:

1 inch (drawing) : 12 inches (actual size).

This simplifies to:

1 : 12.

Thus, the scale factor of the drawing is 1:12.