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 whole number or fraction in simplest form.

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original figure (left - hand square) to the scaled copy (right - hand square) is given by $\frac{\text{side length of scaled copy}}{\text{side length of original}}$.

Step2: Identify side lengths

The side length of the original square is 8 and the side length of the scaled - copy square is 12.

Step3: Calculate scale factor

The scale factor $k=\frac{12}{8}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$