Question

A second square is drawn taking its side length equal to the diagonal of a given square. The ratio of the areas of 1${}^{st}$ to the 2${}^{nd}$ square is -

• A. 1 : 2
• B. 1 : 3
• C. 1 : 4
• D. 1 : 5

Answer 1

The correct option is A

1 : 2

$\frac{d^2}{{\left(\sqrt{2}d\right)}^2}=\frac{d^2}{2d^2}=\frac{1}{2}$