Question

the table below gives the dimensions of a painting and a scale drawing of the painting. find the scale factor of the drawing. (the scale factor to get the drawing from the painting.) write your answer as a fraction in simplest form. | | painting | drawing | length (inches) | 64 | 8 | width (inches) | 48 | 6 | scale factor: | |

Explanation:

Step1: Set up scale factor ratio

$\text{Scale factor} = \frac{\text{Drawing length}}{\text{Painting length}}$

Step2: Substitute given values

$\text{Scale factor} = \frac{8}{64}$

Step3: Simplify the fraction

$\frac{8 \div 8}{64 \div 8} = \frac{1}{8}$
(Verify with width: $\frac{6}{48} = \frac{1}{8}$, same result)

Answer:

$\frac{1}{8}$