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    Question

    Length and breadth of a rectangle are in the ratio 2:5.

    If the perimeter of the rectangle is 36 cm more than the length of the rectangle, then find the area (in cm2) of the rectangle.
    A 100 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 160 Correct Answer Incorrect Answer
    D 130 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangle be '2x' cm and '5x' cm, respectively. ATQ; 2 × (2x + 5x) = 36 + 5x Or, 14x = 36 + 5x Or, 9x = 36 So, x = 4 So, required area = 2x × 5x = 10 × 42 = 160 cm2

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