Identify the Property

For two similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

$\frac{\text{Area}_1}{\text{Area}_2} = \left( \frac{s_1}{s_2} \right)^2$

Substitute Given Values

Given the ratio of sides is $\frac{s_1}{s_2} = \frac{4}{3}$, substitute this into the area formula.

$\frac{\text{Area}_1}{\text{Area}_2} = \left( \frac{4}{3} \right)^2$

Calculate Final Ratio

Evaluate the square: $\frac{4^2}{3^2} = \frac{16}{9}$.

$\frac{16}{9}$