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    Question

    A rectangle has a perimeter of 60 cm, and the ratio of

    its length to its width is 3:2. Find the length of its diagonal.
    A 17 cm Correct Answer Incorrect Answer
    B 19 cm Correct Answer Incorrect Answer
    C 21 cm Correct Answer Incorrect Answer
    D 24 cm Correct Answer Incorrect Answer

    Solution

    Let length = 3x and width = 2x. Perimeter = 2 * (length + width) 60 = 2 * (3x + 2x) 60 = 10x x = 6 So, length = 3x = 18 cm and width = 2x = 12 cm. Diagonal = √(18² + 12²) = √(324 + 144) = √468 ≈ 21 cm Correct Answer: c) 21 cm

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