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) | 9 | 21 | | length (inches) | 6 | 14 | your answer scale factor: | | \\(\frac{\square}{\square}\\) |

Explanation:

Step1: Recall scale factor formula

Scale factor from statue to drawing is $\frac{\text{Drawing dimension}}{\text{Statue dimension}}$.

Step2: Calculate using height

For height: $\frac{9}{21}$. Simplify by dividing numerator and denominator by 3: $\frac{9\div3}{21\div3}=\frac{3}{7}$.

Step3: Verify with length

For length: $\frac{6}{14}$. Simplify by dividing numerator and denominator by 2: $\frac{6\div2}{14\div2}=\frac{3}{7}$. Both give the same result.

Answer:

$\frac{3}{7}$