## Geometry: Common Core (15th Edition)

$\sqrt 6$:4
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