The ratio of the area of two square, one having and double

Home » Aptitude » Area and Perimeter » Question

The ratio of the area of two square, one having and double its diagonal than the other is ?

1. 2:1
2. 3:1
3. 3:2
4. 4:1

Correct Option: D

Let the diagonal of one square be (2d) cm
Then, diagonal of another square = d cm

∴ Area of first square = [ 1/2 x (2d)²] cm²
Area of second square = (1/2 x d²) cm²

∴ Ratio of area = (2d)²/ d²
= 4/1 = 4: 1