The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas

A 2:25

B 3:25

C 4:25

D 6:25

Correct Answer: Option C

let the diagonals of the squares be 2x and 5x respectively

ratio of their areas = \(\frac12\ast\left(2x\right)^{2\;}:\frac{\displaystyle1}{\displaystyle2}\ast\left(5x\right)^{2\;}\)

= 4:25