Given that ∆ABC ~ ∆DEF, if BC = 12.5 cm and EF = 10 cm, then the areas of ∆ABC and ∆DEF are in the ratio of:

Correct option is C

Given:

ΔABC∼ΔDEF

BC = 12.5 cm

EF = 10 cm

Formula Used:

Ratio of areas = $$\left(\frac{\text{Corresponding sides}}{\text{Corresponding sides}}\right)^2$$​

Solution:

The ratio of the corresponding sides BC and EF is

​$$\left(\frac{BC}{EF}\right)^2$$​​

= $$\left(\frac{12.5}{10}\right)^2$$​​

= $$\left(\frac{125}{100}\right)^2$$​​

= $$\left(\frac{5}{4}\right)^2$$​

= $$\frac{25}{16}$$​

25 : 16