Question

the rectangle on the right is a sealed copy of the rectangle on the left. identify the scale factor. express your answer as a whole number or fraction in simplest form. 16 8 10 20

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{length of corresponding side in scaled copy}}{\text{length of corresponding side in original figure}}\)

Step2: Choose a pair of corresponding sides

Let's use the vertical sides. Original vertical side length \(= 8\), scaled - copy vertical side length \(= 10\)
Scale factor \(=\frac{10}{8}\)

Step3: Simplify the fraction

\(\frac{10}{8}=\frac{10\div2}{8\div2}=\frac{5}{4}\)

Answer:

\(\frac{5}{4}\)