Question

If the ratio of the perimeter of two similar triangles is $4:25$, then find the ratio of the areas of the similar triangles .

Answer 1

$\because$ratio of perimeter of two triangles$=4:25$

$\therefore$ Ratio of corresponding sides of the two triangles$=4:25$

The ratio of area of two triangles$=$Ratio of square of its corresponding sides$=\frac{4^2}{{25}^2}=\frac{16}{625}$