Question

original rectangle
the side that corresponds to 1 unit in the original rectangle is 5 units in the scaled copy.
what is the scale factor?
scaled copy
the scale factor is...

Explanation:

Step1: Recall scale factor formula

The scale factor \( k \) is the ratio of the length of the corresponding side in the scaled copy to the length of the side in the original figure. So \( k=\frac{\text{Length in Scaled Copy}}{\text{Length in Original}} \).

Step2: Identify lengths

Original side length: \( 1 \) unit.
Scaled copy side length: \( 5 \) units.

Step3: Calculate scale factor

Substitute into the formula: \( k = \frac{5}{1}=5 \).

Answer:

\( 5 \)