Question

If the sides of two squares are in the ratio 2:1, the ratio of the areas of the two squares will be ___________.

• A. 1:2
• B. 3:1
• C. 4:1
• D. 3:4

Answer 1

The correct option is C 4:1

Let the side of one square is $2x$ and the side of the other square is $x$.

So, the ratio of their areas $=\frac{(2x{)}^2}{x^2}=\frac{4x^2}{x^2}$

$=\frac{4}{1}$ or $4:1.$