Respuesta :

Using proportions, it is found that:

  • The scale factor for the perimeter is of [tex]\frac{2}{3}[/tex].
  • The scale factor for the area is of [tex]\frac{4}{9}[/tex].
  • The scale factor for the volume is of [tex]\frac{8}{27}[/tex].

What is a proportion?

A proportion is a fraction of a total amount.

For the perimeter, as it is given in units, the scale factor is the same, hence it is of [tex]\frac{2}{3}[/tex].

For the area, as it is given in units squared, the scale factor is squared, hence:

[tex]\left(\frac{2}{3}\right)^2 = \frac{4}{9}[/tex]

For the volume, as it is given in cubic units, the scale factor is eleveted to the third power, hence:

[tex]\left(\frac{2}{3}\right)^3 = \frac{8}{27}[/tex]

More can be learned about proportions at https://brainly.com/question/24372153