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 $k=\frac{\text{length in scaled copy}}{\text{length in original figure}}$.

Step2: Identify lengths

The length of a side of the original square is 27, and the length of a side of the scaled - copy square is 6.

Step3: Calculate scale factor

$k = \frac{6}{27}=\frac{2}{9}$

Answer:

$\frac{2}{9}$