If A is area of regular hexagon of side 2 cm, then value of 3A (in cm^2), is: Option 1: 6√3 Option 2: 12√3 Option 3: 18√3 Option 4: 24√3

Answer: 18√3. Solution: A regular hexagon of side a has area (3√3/2)a^2. With a = 2, A = (3√3/2)(4) = 6√3. Therefore 3A = 18√3 cm^2.

Geometry

Miscellaneous

Easy

If A is area of regular hexagon of side 2 cm, then value of 3A (in cm $^2$ ), is:

$6\sqrt{3}$

$12\sqrt{3}$

$18\sqrt{3}$

$24\sqrt{3}$

✅ Correct Option: 3

A regular hexagon of side $a$ has area $(3\sqrt{3}/2)a^2$ .

With $a = 2$ , $A = (3\sqrt{3}/2)(4) = 6\sqrt{3}$ .

Therefore $3A = 18\sqrt{3}$ cm $^2$ .

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