Answer
59 $ft^{2}$
Work Step by Step
Find the ratio of corresponding sides.
$\frac{16}{12}$=$\frac{4}{3}$
The ratio of the areas is the square of the ratio of corresponding sides.
$\frac{4^{2}}{3^{2}}$=$\frac{16}{9}$
Set up a proportion using the ratio of the areas found above.
$\frac{16}{9}$=$\frac{105}{A}$
Cross multiply.
16A=9(105)
16A=905
Divide both sides by 16.
A=59.0625
Area is approximately 59.
