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

A 4:25

B 3:25

C 3:15

D 5:25

Solution

Correct Answer: Option A

Let the diagonals of the squares be 2x and 5x respectively.
Ratio of their areas = \(\frac12\ast\left(2x\right)^2:\frac{\displaystyle1}{\displaystyle2}\ast\left(5x\right)^2=4:25\)

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