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)	28	8
width (inches)	14	4

scale factor:

Explanation:

Step1: Define scale factor formula

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

Step2: Use length values to calculate

$\frac{8}{28}$

Step3: Simplify the fraction

Divide numerator and denominator by 4: $\frac{8\div4}{28\div4} = \frac{2}{7}$

Step4: Verify with width values

$\frac{4}{14} = \frac{4\div2}{14\div2} = \frac{2}{7}$ (matches the result)

Answer:

$\frac{2}{7}$