An equilateral triangle and a parallelogram lie on the same base and between the same parallel lines. The area of the parallelogram is 200*root(3) sq cm. What is the length of the side of the triangle?

**Explanation:**Two triangles with the same base and between the same parallel lines will have equal areas. Likewise, a triangle and a parallelogram with the same base and between the same parallel lines will have areas in the ratio 1:2 respectively.

Therefore,

2*Area of the equilateral triangle = 200*root(3)

2*root(3)*a

^{2}/4 = 200*root(3)a = 20.

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