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 $k$ 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 $16$, and the side length of the scaled - copy square is $\frac{16}{3}$.

Step3: Calculate scale factor

$k = \frac{\frac{16}{3}}{16}=\frac{16}{3}\times\frac{1}{16}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$