The ratio of the area of a square to that of the square drawn on its diagonal as a side is:

A 1:1

B 1:2

C 1:3

D 1:4

E 2:3

Correct Answer: Option B

Let the side of square be ‘a’ cm

Then its area = a²

Now diagonal of the square = √2 × side of square = √2a cm

Now another square is drawn on the diagonal, so its area = \(\sqrt 2 a \times \sqrt 2 a = 2{{\rm{a}}^2}\)

Ratio of areas = a² : 2a² = 1 : 2