Question

the table belov dimensions of a painting and a scale drawing of the painting. find the scale fac the drawing. (the scale factor to get the drawing from the painti write your answer action in simplest form. painting drawing length (inches) 64 8 width (inches) 40 5 scale factor: 0

Explanation:

Step1: Recall the formula for scale factor

Scale factor \(=\frac{\text{Dimension of drawing}}{\text{Dimension of actual painting}}\)

Step2: Calculate scale factor using length

Using length: \(\frac{8}{64}=\frac{8\div8}{64\div8}=\frac{1}{8}\)

Step3: Verify using width

Using width: \(\frac{5}{40}=\frac{5\div5}{40\div5}=\frac{1}{8}\)

Answer:

\(\frac{1}{8}\)