In a scale drawing, a rectangle has a length of 40 centimeters. The actual length of the rectangle is 400 centimeters.

Question

What is the scale factor used for the reduction from the actual rectangle to the drawing?

Question 1 options:

Answer 1

To find the scale factor used for the reduction from the actual rectangle to the drawing, you can use the formula:

\[ \text{Scale Factor} = \frac{\text{Length of the Drawing}}{\text{Actual Length}} \]

In this case, the length of the drawing is 40 centimeters and the actual length is 400 centimeters. Plugging in these values:

\[ \text{Scale Factor} = \frac{40 \text{ cm}}{400 \text{ cm}} = \frac{40}{400} = \frac{1}{10} \]

So, the scale factor used for the reduction from the actual rectangle to the drawing is \( \frac{1}{10} \).