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    Question

    A regular hexagon has a side length of 10 units. Find

    the area of the hexagon.
    A 150√3 square units Correct Answer Incorrect Answer
    B 300√3 square units Correct Answer Incorrect Answer
    C 450√3 square units Correct Answer Incorrect Answer
    D 600√3 square units Correct Answer Incorrect Answer

    Solution

    A regular hexagon can be divided into 6 equilateral triangles. The side length of each equilateral triangle is 10 units. The area of an equilateral triangle with side length s is (√3/4) * s² . So, the area of one equilateral triangle is (√3/4) * 10² = 25√3 square units. The area of the entire hexagon is 6 * 25√3 = 150√3 square units. Answer: (A)

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