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. chart with rows: drawing (height: 7 inches, length: 5 inches), statue (height: 21 inches, length: 15 inches) scale factor: input box buttons for fraction and multiplication

Explanation:

Step1: Define Scale Factor

The scale factor from the statue to the drawing is the ratio of the drawing's dimension to the statue's dimension. We can use either height or length. Let's use height: drawing height is 7, statue height is 21. So the ratio is $\frac{7}{21}$.

Step2: Simplify the Fraction

Simplify $\frac{7}{21}$ by dividing numerator and denominator by their greatest common divisor, which is 7. $\frac{7\div7}{21\div7}=\frac{1}{3}$. We can check with length: drawing length is 5, statue length is 15. $\frac{5}{15}=\frac{1}{3}$ (same result).

Answer:

$\frac{1}{3}$