#### Answer

24 $in^{2}$

#### Work Step by Step

The ratio of the areas is the square of the ratio of corresponding sides
$\frac{3^{2}}{6^{2}}$=$\frac{9}{36}$
Set up a proportion using the ratio of the areas found above:
$\frac{9}{36}$=$\frac{6}{A}$
Cross multiply
9A=6(36)
9A=216
Divide both sides by 9
A=24