the triangles above are similar. What is the ratio (larger to smaller) of the perimeters?

We cannot determine the ratio of the perimeters without knowing the lengths of the sides. The fact that the triangles are similar only tells us that the corresponding angles are equal, but it does not give us any information about the lengths of the sides.

all you know is that the perimeters will be in the same ratio as the sides, since the perimeter is just the sum of the sides.