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    Question

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

    equilateral triangle of area 144√3 cm2 . Find the area of the square?
    A 3600 cm² Correct Answer Incorrect Answer
    B 5184 cm² Correct Answer Incorrect Answer
    C 6084 cm² Correct Answer Incorrect Answer
    D 7056 cm² Correct Answer Incorrect Answer
    E 8100 cm² Correct Answer Incorrect Answer

    Solution

    Area of equilateral triangle = (√3 x side2)/4 ⇒ (√3 x side2)/4 = 144√3 ⇒ Side = 24 cm Perimeter of equilateral triangle = 3 x side = 3 x 24 = 72 cm Side of square = 72 cm Area of square = (Side)2 cm2 Area of square = 5184 cm²

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