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    The length of a rectangular hall is twice of its breadth. If the area of the hall is 338 sq. metre, then its perimeter is
    Question

    The length of a rectangular hall is twice of its breadth. If the area of the hall is 338 sq. metre, then its perimeter is

    A.

    39 m

    B.

    78 m

    C.

    84.5 m

    D.

    96 m

    Correct option is B

    Given:

    The length (L) of a rectangular hall is twice its breadth (B).

    Area of the hall = 338 m².

    Find the perimeter.

    Concept Used:
    Area and perimeter 

    Formula Used:

    Area of a rectangle = L ×  B

    Perimeter of a rectangle = 2(L + B)

    Solution:

    Given ; L = 2B

    Area:

    L×B=338 2B×B=338 2B2=338 B2=169L \times B = 338 \\ \ \\2B \times B = 338\\ \ \\2B^2 = 338\\ \ \\B^2 = 169​​

    B = 13 m

    Then,

    L = 2 × 13 = 26 m

    Perimeter = 2(26 + 13) = 2 × 39 = 78 m

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