# The ratio of the areas of two squares, one having double its diagonal than the other is:

- 1 : 4
- 1 : 5
- 1 : 3
- none of these

**Answer: (4) none of these **

**Solution:-**

Let the diagonal of a square be D and another square be 2 D

Then, ratio of their areas = {(2 x D)^2/2}/{(2 x 2 D)^2/2}

= D^2/4 D^2

= 1/4

Then, the ratio of their area will be 1: 4.

Hence, the correct answer is option (4) none of these.