Enlargement and area

This task is about enlarging a shape on a grid and exploring the relationship between scale factor and area.

          
 

a) What is the area of the triangle ABC? _________ square units
 
b) 
 
Using P as the centre of enlargement, enlarge the triangle ABC by a scale factor of 3. Label the enlarged triangle A', B', and C' respectively.
 
c)
 
What is the area of the triangle A'B'C'? _________ square units
 
d)
  
If the triangle ABC is enlarged by a scale factor of 4, how could you find the area of the enlarged triangle without drawing it?