Question

The diagonals of two squares are in the ratio 5 : 2. The ratio of their area is

• A. 5 : 6
• B. 25 : 4
• C. 5 : 4
• D. 125 : 8

Answer 1

Answer:

B. 25 : 4

Area of square $=\frac{1}{2}\times{(diagonal)^2}$

Required ratio $=\frac{\frac{1}{2}(d1)^2}{\frac{1}{2}(d2)^2}$

$=(\frac{d1}{d2})^2$

$=(\frac{5}{2})^2$

$=\frac{25}{4}$