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    Question

    In a quadrilateral ABCD, the diagonals AC and BD

    intersect at right angles. If AC = 16 cm and BD = 12 cm, find the area of the quadrilateral.
    A 84 cm² Correct Answer Incorrect Answer
    B 96 cm² Correct Answer Incorrect Answer
    C 77 cm² Correct Answer Incorrect Answer
    D 125 cm² Correct Answer Incorrect Answer

    Solution

    A quadrilateral whose diagonals are perpendicular has area: Area = 1/2 × d1 × d2 Here d1 = 16, d2 = 12 Area = (1/2) × 16 × 12 = 96 cm².

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