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    Question

    If the length and breadth of a rectangle are in the

    ratio 4:3 and its perimeter is 28 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 48 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 4x and 3x cm respectively. Then, 2(4x + 3x) = 28 ⇒ 14x = 28 ⇒ x = 28/14 = 2 Therefore, length = 4x = 8 cm Breadth = 3x = 6 cm Therefore, area = lb = 8 x 6 = 48 cm²

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