Corners are cut from an equilateral triangle to produce a regular convex…

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Equilateral triangle with its three corners separated by dashed cut lines; the resulting central regular hexagon is shaded grey.

Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above.

The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is

  1. A.

    2:3

  2. B.

    3:4

  3. C.

    4:5

  4. D.

    5:6

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