The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their areas? Pick one:
A) 3:2  B) 2:3  C) 1:6  D) 6:1  E) None of these
Explanation :   As a triangle has 3 sides and a regular hexagon has 6 sides , so the length of sides of triangle (let 2A) will be twice than that of Hexagon (let A)   A regular hexagon can be divided into 6 nos of equilateral triangles of side A.   As side of bigger triangle is double its area will be square of it i.e 4 times the smaller triangle.   Therefore Ar. of Trinagle : Ar. of Hexagon = 4X : 6X = 2:3   Answer : 2:3
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The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their areas?