## Geometry: Common Core (15th Edition)

3 $ft^{2}$
The ratio of the perimeter is the same as the ratio of corresponding sides. This is given as 1:3. The ratio of the areas is the square of the ratio of corresponding sides. $1^{2}$:$3^{2}$=1:9 Set up a proportion based on this ratio $\frac{1}{9}$=$\frac{x}{27}$ Cross Multiply 9x=27 Divide both sides by 9 x=3