The scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].
What is scale factor?
When describing an enlargement you must state by how much the shape has been enlarged or reduced.
Area of triangle B =[tex]\frac{1}{2} * b *h[/tex]
= 0.5 x 2 x 3
= 3 units
Area of triangle A =[tex]\frac{1}{2} * b *h[/tex]
= 0.5 x 4 x 6
= 12 units
Scale factor =[tex]\frac{Area of \; triangle B}{Area of\; triangle A}[/tex]
=[tex]\frac{3}{12}[/tex]
= [tex]\frac{1}{4}[/tex]
Hence, the scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].
Learn more about scale factor here: