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Discussion :: Area

  1. An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

    2. A.

    2%
    B.

    2.02%
    C.
    4%
    D.

    4.04%

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    Answer : Option D

    Explanation :

    100 cm is read as 102 cm.

     

     A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.

     

        (A2 - A1) = [(102)2 - (100)2]

     

      = (102 + 100) x (102 - 100)

     

     = 404 cm2.

     

     Percentage error =[\(\frac { 404 } { 100*100 }\)x100]%=4.04%

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