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? write it

Answer 1

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

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

Substituting the given values:

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

Thus, the scale factor used for the reduction from the actual rectangle to the drawing is 1:10.