The area of regular hexagon of side 2 {3} cm is:

Correct Answer is : 18 3 cm2{3}\,{cm}²3cm2

Correct Answer is : 18 3 cm2{3}\,{cm}²3cm2

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Area and Perimeter Practice Test 4

Question : 5 of 40

Marks: +1, -0

\sqrt{3}

Solution:

Concept:

The area of a regular hexagon depends only on its side length.

Explanation:

The formula is

\text{Area}=\dfrac{3\sqrt{3}}{2}s^2

Given side

s=2\sqrt{3}

cm.

First find

s^2

s^2=(2\sqrt{3})^2=4\times 3=12

Substitute into the formula:

\text{Area}=\dfrac{3\sqrt{3}}{2}\times 12

\text{Area}=3\sqrt{3}\times 6=18\sqrt{3}\ \text{cm}^2

Answer:

The area is

18\sqrt{3}\ \text{cm}^2

Correct option: B.

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