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    Question

    Length and breadth of a rectangle are in the ratio 7:9.

    If the perimeter of the rectangle is 46 cm more than the breadth of the rectangle, then find the area (in cm2) of the rectangle.
    A 242 Correct Answer Incorrect Answer
    B 232 Correct Answer Incorrect Answer
    C 252 Correct Answer Incorrect Answer
    D 292 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangle be '7x' cm and '9x' cm, respectively. ATQ; 2 × (7x + 9x) = 46 + 9x Or, 14x = 46 + 9x Or, 23x = 46 So, x = 2 So, required area = 7x × 9x = 63 × 22 = 252 cm2

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