If the diagonals of two squares are in the ratio of 2 : 5, there area will be in the ratio of
If the diagonals of two squares are in the ratio of 2 : 5, there area will be in the ratio of
[A]4 : 25
[B]4 : 5
[C]2 : 5
[D]$latex \sqrt{2} : \sqrt{5}$
4 : 25
Let diagonals be 2x and 5x.
$latex \therefore \frac{A1}{A2} = \frac{\frac{1}{2}\times (2x)^{2}}{\frac{1}{2}\times (5x)^{2}} = \frac{4}{25}&s=2$
=> 4 : 25
Hence option [A] is the right answer.