# 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?

##### 1 Answer

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.