Question

A dilation with a scale factor of 3 takes triangle PQR to triangle XYZ. What is the ratio of the perimeter of triangle PQR to the perimeter of triangle XYZ?

Answer 1

do you have a picture of this?

Answer 2

You can solve this without a diagram.

notice what happens when you take a generic triangle with side lengths a, b, c and scale them up by some scale factor k.

old perimeter = a + b + c
new perimeter = ka + kb + kc = k(a+b+c) so the perimeter scales up by k as well

apply this logic to your problem