If A is area of regular hexagon of side 4 cm, then value of 4A (in cm^2) is: Option 1: 66√3 Option 2: 76√3 Option 3: 86√3 Option 4: 96√3

Answer: 96√3. Solution: Area of a regular hexagon = 3√3/2a^2 = 3√3/2 x 16 = 24√3. Therefore 4A = 4 x 24√3 = 96√3 cm^2.

Geometry

Miscellaneous

Medium

If A is area of regular hexagon of side 4 cm, then value of 4A (in cm $^2$ ) is:

66√3

76√3

86√3

96√3

✅ Correct Option: 4

Area of a regular hexagon $= \frac{3\sqrt{3}}{2}a^2 = \frac{3\sqrt{3}}{2} \times 16 = 24\sqrt{3}$ .

Therefore $4A = 4 \times 24\sqrt{3} = 96\sqrt{3}$ cm $^2$ .

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