Question

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

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 \( \frac{1}{10} \).