#### Answer

54 $m^{2}$

#### Work Step by Step

Find the ratio of corresponding sides.
$\frac{12}{18}$=$\frac{2}{3}$
The ratio of the areas is the square of the ratio of corresponding sides.
$\frac{2^{2}}{3^{2}}$=$\frac{4}{9}$
Set up a proportion using the ratio of the areas found above.
$\frac{4}{9}$=$\frac{A}{121}$
Cross multiply:
9A=4(121)
9A=484
Divide both sides by 9:
A=53.7777
Area is approx 54.