Question : The ratio of the area of a regular hexagon and an equilateral triangle having the same perimeter is:
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Given: A regular hexagon and an equilateral triangle having the same perimeter.
Let the perimeter of the triangle and the hexagon be
So, each side of the hexagon =
And each side of the triangle =
We know that the area of a regular hexagon =
So, the area of the hexagon =
And the area of the equilateral triangle =
Hence, the correct answer is
