Question

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

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{length of scaled copy}}{\text{length of original}}\)

Step2: Substitute the values

For the given rectangles, if we take the length (we could also take the width, the result will be the same). The length of the original rectangle is \(16\) and the length of the scaled - copy is \(20\).
Scale factor \(=\frac{20}{16}\)

Step3: Simplify the fraction

Divide both the numerator and the denominator by their greatest common divisor. The GCD of \(20\) and \(16\) is \(4\).
\(\frac{20\div4}{16\div4}=\frac{5}{4}\)

Answer:

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