The length of each side of a regular hexagon is \(2\sqrt{3} \) cm. What is the area of the given hexagon?

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RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 17 June 2022 Shift 2)
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  1. 18 cm2
  2. 54 cm2
  3. \(18\sqrt{3} \) cm2
  4. \(24\sqrt{3} \) cm2

Answer (Detailed Solution Below)

Option 3 : \(18\sqrt{3} \) cm2
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Detailed Solution

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Given: 

Side of hexagon (a) = 2

Formula used: 

⇒ Area of the hexagon = (3√3 ) x a2.
                                            2

Calculation: 

Area of the hexagon 

⇒ 3√3 x (2√3)2 
      2 

⇒ 3√3 x (4x3) = 3√3 x (12) 
      2                    2 

⇒ 3√3 x 6 = 18√3 cm2.

∴ The area of the given hexagon is 18√3 cm2. 

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