scale factor.....................................help

Question

Tara drew a scale drawing of a boarding school. The scale she used was 6 millimeters = 3 meters. What is the scale factor of the drawing?



Answer 1

6 mm/ 3 m

= 2 mm/ 1 m

= 2 mm/1000 mm

= 1/500

just make sure both numerator & denominator are in the same units

Answer 2

Step 1: Convert to the Same Units

The scale is given as:

6 mm=3 meters

Convert 3 meters to millimeters:

3 meters=3×1000=3000 mm

Step 2: Write the Scale Factor

Now compare the drawing to the actual size:

Scale Factor= new/old or drawing/actual

6/3000

Simplify: 6/3000=1/500

Final Answer:

The scale factor of the drawing is 1:500.

That means 1 mm on the drawing represents 500 mm (or 0.5 meters) in real life.