Question

the square on the right is a scaled copy of the square on the left. identify the scale factor. express your answer as a fraction in simplest form. 91 24 91 24

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Length of side in scaled copy}}{\text{Length of corresponding side in original figure}}\)

Step2: Substitute the values

Here, length of side in scaled copy \( = 24\), length of corresponding side in original figure \(=91\)
Scale factor \(=\frac{24}{91}\)
Since \(24\) and \(91\) have no common factors other than \(1\) (factors of \(24\): \(1,2,3,4,6,8,12,24\); factors of \(91\): \(1,7,13,91\)), the fraction \(\frac{24}{91}\) is in simplest form.

Answer:

\(\frac{24}{91}\)