Answer
$\sqrt 6$:4
Work Step by Step
Use $a^{2}$:$b^{2}$ for the ratio of the areas.
$\frac{48}{128}$
Simply
$\frac{48}{128}$=$\frac{6}{16}$
The ratio of the areas is the square of the ratio of the perimeter. Therefore, take the positive square root of each to find the ratio of their perimeters.
$\frac{\sqrt 6}{\sqrt 16}$=$\frac{\sqrt 6}{4}$
The ratio can be written as $\frac{\sqrt 6}{4}$ or $\sqrt 6$:4
