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.
images of two rectangles: left rectangle with top side labeled 16 and left side labeled 8; right rectangle with top side labeled 24 and left side labeled 12
answer attempt 1 out of 2

Explanation:

Step1: Recall scale factor formula

The scale factor from the original (left) to the copy (right) is the ratio of corresponding side lengths. So, we can take the length of the right rectangle divided by the length of the left rectangle (or the height of the right divided by the height of the left).

Step2: Calculate using length

Length of left rectangle: \( 16 \), Length of right rectangle: \( 24 \). Scale factor \( = \frac{24}{16} \). Simplify this fraction by dividing numerator and denominator by their greatest common divisor, which is 8. \( \frac{24\div8}{16\div8} = \frac{3}{2} \). We can also check with height: Height of left: \( 8 \), Height of right: \( 12 \). \( \frac{12}{8} = \frac{3}{2} \), same result.

Answer:

\(\frac{3}{2}\)