Answer
$\frac{9}{4}$
Work Step by Step
The ratio of the areas of two similar triangles equals the square of the ratio of the lengths of any two corresponding sides; that is,
$\frac{A1}{A2}$ = $(\frac{a1}{a2})^{2}$
Given that the ratio of the length of the corresponding sides = $\frac{s1}{s2}$ = $\frac{3}{2}$
The ratio of $\frac{A1}{A2}$ = $(\frac{a1}{a2})^{2}$ = $(\frac{3}{2})^{2}$ = $\frac{9}{4}$
