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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 cm² Correct Answer Incorrect Answer
    B 216 cm² Correct Answer Incorrect Answer
    C 240 cm² Correct Answer Incorrect Answer
    D 252 cm² Correct Answer Incorrect Answer

    Solution

    The area of a parallelogram can be calculated using the formula: Area = 1/2 × product of diagonals × sin of the angle between them. So, Area = 1/2 × 24 × 18 × sin 60°, Area = 1/2 × 24 × 18 × (√3/2), Area = 216 × √3/2 = 216 × 0.866 ≈ 187 cm². Answer: a

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