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Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is

Corners are cut off from an equilateral triangle T to produce a regular hexagon H. Then, the ratio of the area of H to the area of T is Correct Answer 2 : 3

Calculation:

/4

The side of hexagon = a

The area of the hexagon = /2      ----(ii)

Dividing the equation (ii) by (i)

Then the area of a hexagon by area of the equilateral triangle = 2/3

∴ The ratio of the area of H to the area of T is 2 : 3

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