Question

The side of a square is equal to the side of an equilateral triangle. The ratio of their areas is ______.

Options

• 4 : 3

• `2 : sqrt(3)`

• `4 : sqrt(3)`

• none of these

Answer 1

The side of a square is equal to the side of an equilateral triangle. The ratio of their areas is `underlinebb(4 : sqrt(3))`.

Explanation:

Let the side of the square = side of the triangle = a.

Then, `"Area of the square"/"Area of the triangle" = a^2/(sqrt(3)/4 a^2)`

= `4/sqrt(3)`

= `4 : sqrt(3)`