Question

Samantha drew a scale drawing of a summer camp. The scale of the drawing was 9 centimeters = 1 meter. What is the scale factor of the drawing? Simplify your answer and write it as a fraction.

Answer 1

The scale factor of the drawing can be determined by comparing the units of measurement in the drawing to the actual units.

In this case, the scale of the drawing is 9 centimeters = 1 meter. To find the scale factor, we need to express this as a fraction where the numerator represents the units in the drawing and the denominator represents the actual units.

Since 9 centimeters represents 1 meter, the scale factor can be written as:

9 cm / 1 m

To simplify this fraction, we need to convert centimeters to meters. There are 100 centimeters in 1 meter, so we divide the numerator and denominator by 100:

(9 cm / 1 m) / (100 cm / 1 m) = 9/100

Therefore, the scale factor of the drawing is 9/100.

alli <3