Question

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 a pre - image to an image is given by the ratio of corresponding side lengths. Let the side length of the pre - image square be $a = 7$ and the side length of the image square be $b=\frac{21}{2}$.

Step2: Calculate the scale factor

The scale factor $k=\frac{b}{a}$. Substitute $a = 7$ and $b=\frac{21}{2}$ into the formula: $k=\frac{\frac{21}{2}}{7}=\frac{21}{2}\times\frac{1}{7}=\frac{21}{14}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$