Question

side length in original rectangle, corresponding side length in scaled copy, 2, 10, 3, 15, the scale factor is

Explanation:

Step1: Recall the formula for scale factor

Scale factor = $\frac{\text{Length in scaled copy}}{\text{Length in original}}$

Step2: Calculate scale factor using first pair of values

Using the first row (original side length = 2, scaled - copy side length = 10), scale factor = $\frac{10}{2}=5$

Step3: Verify with the second pair of values

Using the second row (original side length = 3, scaled - copy side length = 15), scale factor = $\frac{15}{3}=5$

Answer:

5