If the perimeter of a square is equal to the perimeter of an equilateral triangle, what will be the possible ratio of their areas?
1 Answer
The ratio between the area of the square and the area of the triangle is
Explanation:
Perimeter of a square:
Perimeter of an equilater triangle:
So, we know
On the other hand, we have:
Area of a square:
Area of an equilateral triangle:
In fact, the height
and finally
So, we have
Now, remember that