If A is area of regular hexagon of side 2 cm, then value of 3A (in cm2), is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(18\sqrt{3}\)
Lines from the centre of a regular hexagon to its six corners cut it into six equilateral triangles, each with the hexagon’s side. An equilateral triangle of side \(a\) has area \(\frac{\sqrt{3}}{4}a^{2}\).
One triangle of side 2 cm: \(\displaystyle\frac{\sqrt{3}}{4}\times2^{2}=\sqrt{3}\) cm2
The hexagon: \(A=6\sqrt{3}\) cm2
\(3A=18\sqrt{3}\) cm2
Tip: Option (1), \(6\sqrt{3}\), is the area A itself; the question asks for 3A.