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Question

Find the area of a regular hexagon with side length is 4 cm.


A

52. 54

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B
41.56
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C
46.62
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D
56.62
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Solution

The correct option is B 41.56


Given regular hexagon has the side length of 4 cm.
We can split the given regular hexagon into 6 equilateral triangles.
Area of equilateral triangle = 34 side2
Area of hexagon = 6 × 34 side2
= 332 × side2
= 332 × 42
= 41.56 cm2


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