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    Question

    The cost of fencing a rectangular field at the rate of

    Rs. 4/metre is Rs. 280. If the length of the field is 11 metres more than its breadth, then find the length of the rectangular field.
    A 28 metres Correct Answer Incorrect Answer
    B 23 metres Correct Answer Incorrect Answer
    C 20.5 metres Correct Answer Incorrect Answer
    D 18 metres Correct Answer Incorrect Answer
    E 22 metres Correct Answer Incorrect Answer

    Solution

    Let the length of the rectangular field be ‘l’ m Breadth of the rectangular field = (l – 11) m Therefore, perimeter of the rectangular field = 2 ×(l + l – 11) = (4l – 22) m According to the question, 4l – 22 = 280/4 Or, 4l = 70 + 22 Or, l = 92/4 = 23 metres

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