Question

the table below gives the dimensions of a statue and a scale drawing of the statue. find the scale factor of the drawing. (the scale factor to get the drawing from the statue.) write your answer as a fraction in simplest form.
drawing statue
height (inches) 12 30
length (inches) 10 25
scale factor:

Explanation:

Step1: Recall the formula for scale factor

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

Step2: Calculate scale factor using height

Using height: \(\frac{12}{30}=\frac{12\div6}{30\div6}=\frac{2}{5}\)

Step3: Calculate scale factor using length

Using length: \(\frac{10}{25}=\frac{10\div5}{25\div5}=\frac{2}{5}\)

Answer:

\(\frac{2}{5}\)