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    Question

    The side of a square is equal to the perimeter of an

    equilateral triangle of area 36√3 cm2 . Find the area of the square?
    A 1296 cm² Correct Answer Incorrect Answer
    B 2916 cm² Correct Answer Incorrect Answer
    C 576 cm² Correct Answer Incorrect Answer
    D 900 cm² Correct Answer Incorrect Answer
    E 4356 cm² Correct Answer Incorrect Answer

    Solution

    Area of equilateral triangle = (√3 x side2)/4 ⇒ (√3 x side2)/4 = 36√3 ⇒ Side = 12 cm Perimeter of equilateral triangle = 3 x side = 3 x 12 = 36 cm Side of square = 36 cm Area of square = (Side)2 cm2 Area of square = 1296 cm²

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