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. 68 63 68 63

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 \( = 63\), length of corresponding side in original figure \(=68\)
Scale factor \(=\frac{63}{68}\)
Since \(63 = 7\times9\) and \(68= 4\times17\), there is no common factor other than \(1\) for \(63\) and \(68\)

Answer:

\(\frac{63}{68}\)