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    Question

    If the length and breadth of a rectangle are in the

    ratio 5:3 and its perimeter is 48 cm, then the area of the rectangle (in cm²) is :   
    A 84 cm² Correct Answer Incorrect Answer
    B 135 cm² Correct Answer Incorrect Answer
    C 192 cm² Correct Answer Incorrect Answer
    D 168 cm² Correct Answer Incorrect Answer

    Solution

    Using the formula, Perimeter = 2(l + b) & Area = length x breadth Let the length and breadth of the rectangle be 5x and 3x cm respectively. Then, 2(5x + 3x) = 48 ⇒ 16x = 48 ⇒ x = 48/16 = 3 Therefore, length = 5x = 15 cm Breadth = 3x = 9 cm Therefore, area = lb = 15 x 9 = 135 cm²

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