## Elementary Geometry for College Students (6th Edition)

$\frac{4}{25}$
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, $\frac{A1}{A2}$ = $(\frac{a1}{a2})^{2}$ It will be applicable to any polygon like square, recangle etc Given that the ratio of the length of the corresponding sides = $\frac{s1}{s2}$ = $\frac{2}{5}$ The ratio of $\frac{A1}{A2}$ = $(\frac{a1}{a2})^{2}$ = $(\frac{2}{5})^{2}$ = $\frac{4}{25}$