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    The length of a hall is 7 m more than its breadth. If its perimeter is 62 m, find the length of the hall.
    Question

    The length of a hall is 7 m more than its breadth. If its perimeter is 62 m, find the length of the hall.

    A.

    34.5 m

    B.

    12 m

    C.

    19 m

    D.

    27.5 m

    Correct option is C

    Given:
    Length of the hall = breadth + 7 meters.
    Perimeter of the hall = 62 meters.
    Formula Used:
    For a rectangle, the perimeter P is given by:
    P = 2 × (Length + Breadth)
    Solution:
    Let the breadth of the hall be b meters.
    P = 2 × (7 + b + b)
    62 = 2 × (7 + 2b)
    31 = 7 + 2b
    2b = 31 – 7
    b = 242\frac{24}{2}​​
    b = 12 
    Since, Breadth, b = 12 cm 
    Thus, Length = 12 + 7 = 19 cm.

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