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    What is the area of a regular hexagon the length of each of whose sides is 4 cm?
    Question

    What is the area of a regular hexagon the length of each of whose sides is 4 cm?

    A.

    243cm2 24\sqrt{3}cm^2​​

    B.

    273cm2 27\sqrt{3}cm^2​​

    C.

    253cm2 25\sqrt{3}cm^2​​

    D.

    263cm2 26\sqrt{3}cm^2​​

    Correct option is A

    Given:

    Side of hexagon =4cm

    Formula Used:

    Area of a hexagon =332a2 \frac{3\sqrt{3}}{2} a^2​​

    Where a is side of hexagon

    Solution:

    Area =332(4)2= \frac{3\sqrt{3}}{2} (4)^2​​

    = 332(16)\frac{3\sqrt{3}}{2} (16)​​

    =243cm2 24\sqrt{3}cm^2​​

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