Quantitative Aptitude :: Area - Discussion

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Explanation:
Diagonal of a square = 2a
Area of the square = 1/2*(diagonal)^2 = 2a^2
Side of the equi triangle is a
Area of equilateral triangle = (_/3/4)a^2
so Ratio of Area of Triangle to Square = (_/3/4)a^2 : 2a^2 = _/3:8