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.

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ from an original figure to a scaled - copy is given by $k=\frac{\text{side length of scaled copy}}{\text{side length of original figure}}$.

Step2: Identify side lengths

The side length of the original square is 8, and the side length of the scaled - copy square is 23.

Step3: Calculate scale factor

$k = \frac{23}{8}$

Answer:

$\frac{23}{8}$