Answer
$\dfrac{2 \sqrt 2}{5}$
Work Step by Step
The ratios of the perimeters will be equal to the square root of the ratio of the areas that can be computed as:
$\dfrac{P_1}{P_2}=\sqrt {\dfrac{8}{25}} \\ \dfrac{P_1}{P_2}=\dfrac{2 \sqrt 2}{\sqrt {25}}$
This implies that
$ \dfrac{P_1}{P_2}=\dfrac{2 \sqrt 2}{5}$
