Question

m|ls the size of the scale factor side length in original rectangle corresponding side length in scaled copy 2 10 3 15 the scale factor is original copy

Explanation:

Step1: Recall scale - factor formula

The scale factor $k$ is given by the ratio of the side - length of the scaled copy to the side - length of the original figure, i.e., $k=\frac{\text{side length in scaled copy}}{\text{side length in original rectangle}}$.

Step2: Use first pair of side - lengths

Using the first row of the table where the side length in the original rectangle is $2$ and the corresponding side length in the scaled copy is $10$. Then $k = \frac{10}{2}=5$.

Step3: Verify with second pair

Using the second row of the table where the side length in the original rectangle is $3$ and the corresponding side length in the scaled copy is $15$. Then $k=\frac{15}{3} = 5$.

Answer:

$5$