Answer
$3:1$, $9:1$.
Work Step by Step
We are given the scale factor $=3:1$
We can see that the ratio of the perimeters of two smaller figures is $\dfrac{a}{b}$, and the ratio of their areas is the square of the ratio of their perimeters:
$\dfrac{a^2}{b^2}$.
Now, the ratio of the perimeters of two smaller figures is equal to $3:1$
So, the ratio of the areas is equal to the square of the scale factor, which is $3^2:1^2=9:1$.