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    Question

    A parallelogram has diagonals of lengths 24 cm and 18

    cm. The angle between the diagonals is 60┬░. Find the area of the parallelogram.
    A 187 cm┬▓ Correct Answer Incorrect Answer
    B 216 cm┬▓ Correct Answer Incorrect Answer
    C 240 cm┬▓ Correct Answer Incorrect Answer
    D 252 cm┬▓ Correct Answer Incorrect Answer

    Solution

    The area of a parallelogram can be calculated using the formula: Area = 1/2 ├Ч product of diagonals ├Ч sin of the angle between them. So, Area = 1/2 ├Ч 24 ├Ч 18 ├Ч sin 60┬░, Area = 1/2 ├Ч 24 ├Ч 18 ├Ч (тИЪ3/2), Area = 216 ├Ч тИЪ3/2 = 216 ├Ч 0.866 тЙИ 187 cm┬▓. Answer: a

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