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Discussion :: Area

  1. The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

  2. A.

    9 cm

    B.

    18 cm

    C.

    20 cm

    D.

    41 cm

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    Answer : Option B

    Explanation :

    \(\sqrt{l^2+b^2}\)=\(\sqrt{41}\)

     

    Also, lb = 20.

     

    (l + b)2 = (l2 + b2) + 2lb = 41 + 40 = 81

     

     (l + b) = 9.

     

     Perimeter = 2(l + b) = 18 cm.

     


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