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Discussion :: Area

  1.  

    The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

  2. A.

    25% increase

    B.

    50% increase

    C.

    50% decrease

    D.

    75% decrease

    View Answer

    Workspace

    Answer : Option B

    Explanation :

    Let original length = x and original breadth = y.

     

    Original area = xy.

     

    New length =\( \frac { X } { 2 } \)

     

     New breadth =3Y

     

      New area     =\([ \frac { X } { 2 } \)x3Y]=\( \frac { 3 } { 2 } \)XY

     

       Increase % =[\( \frac {1 } { 2 } \)xy x \(\frac { 1 } { XY } \) x 100]%= 50%


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