Question

Find the scale factor in each of the following and state the type of size transformation:
Model area = 75cm², Actual area = 3cm²

Answer 1

Model area = 75cm², Actual area = 3cm² 
Actual area
= 3 x 10000cm²
= 30000cm² 

Scale factor

=  `sqrt(("Model Area")/("Actual Area")`

= `sqrt((75)/(30000)`

= `sqrt((1)/(400)`

= `(1)/(20)`

Scale factor = 0.05
Since the scale factor < 1 and > 0
⇒ Type of size transformation = reduction.