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    Find the area of a regular hexagon (in cm²) with sides of length 6 cm.
    Question

    Find the area of a regular hexagon (in cm²) with sides of length 6 cm.

    A.

    18

    B.

    36

    C.

    54√3

    D.

    5√2

    Correct option is C

    Given:

    ​The side of a regular hexagon is 6 cm. 

    Formula used:

    Area of regular hexagon

    Area = 332×s2\frac{3\sqrt3}{2}\times s^2

    s is the length of side of the hexagon

    Solution:

    Area = 332×(6)2\frac{3\sqrt3}{2}\times (6)^2

    Area = 332×36\frac{3\sqrt3}{2}\times 36

    Area = 54354\sqrt3

    ​​The area of the regular hexagon is 54354\sqrt3

    Thus, correct option is (c)

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