Question

Two similar figures have a scale factor of 3.7. How much larger is the perimeter of the larger? How much larger is the area of the larger figure?

Answer 1

Perimeter is `3.7` times larger.
Area is `13.69` times larger.

Explanation:

(This might be a bit confusing.)

The following is an example.

Look at the image. Triangle UVW has a perimeter of `12`. The scale factor is `4`, meaning that the sides of triangle XYZ are `12`, `16`, and `20`. The perimeter is `48`.
Triangle UVW has an area of `6`. Triangle XYZ has a perimeter of `96`, which is `4^2`.

Try this with any similar shapes, it works every time.