Question

If the diagonals of two squares are in the ratio of 2 : 5, their area will be in the ratio of

• A. $$\sqrt{2} : \sqrt{5}$$
• B. 2 : 5
• C. 4 : 25
• D. 4 : 5

Answer 1

Answer:

C. 4 : 25

Let diagonals be 2x and 5x.

$\frac{A1}{A2}=\frac{\frac{1}{2}\times{(2x)^2}}{\frac{1}{2}\times{(5x)^2}}=\frac{4}{25}$

=> 4 : 25