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    Question

    The length of the diagonal of a rectangle is 25 cm, and

    the ratio of its length to its breadth is 4:3. Find the area of the rectangle.
    A 300 cm┬▓ Correct Answer Incorrect Answer
    B 400 cm┬▓ Correct Answer Incorrect Answer
    C 500 cm┬▓ Correct Answer Incorrect Answer
    D 600 cm┬▓ Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangle be 4x and 3x, respectively. Diagonal = тИЪ(4x)┬▓ + (3x)┬▓ = 25 тИЪ(16x┬▓ + 9x┬▓) = 25 тИЪ25x┬▓ = 25 x = 5 Length = 4x = 20 cm Breadth = 3x = 15 cm Area = Length * Breadth = 20 * 15 = 300 cm┬▓ Correct answer: a. 300 cm┬▓

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