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    Question

    The length of a rectangle is twice its breadth. If its

    length is decreased by 6 cm and breadth is increased by 6 cm, the area of the rectangle is increased by 84 sq.cm. Find the breadth of the rectangle.
    A 35 cm Correct Answer Incorrect Answer
    B 60 cm Correct Answer Incorrect Answer
    C 20 cm Correct Answer Incorrect Answer
    D 40 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the breadth of a rectangle = x cm And the length of a rectangle = 2x cm According to the question, => (2x – 6) (x + 6) – 2x x x = 84 => 2x2 + 12x – 6x – 36 – 2x2 = 84 => 6x = 120 => x = 20 Breadth of the rectangle is  = x = 20 cm

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