64 = 65?

Feb24
2008 8 Comments Written by Prasad

I am damn right confused!! What is wrong with this figure … geometrically, an area of 64 sq. units is now converted into 65 sq. units. How!?!

Got any bright ideas on this? I do.

I think it is violating the Basic Proportionality Theorem (BPT). Since it is assuming that 3/8 = 5/13 (the colored triangle being similar to the bigger half of the rectangle). Which is obviously incorrect, so the rectangle cannot be formed like so. Whew! Thank god for the constraints of geometry!!

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  • Sundar Rajan G S

    @ prasad,

    I dont knw who the interviewers were.

    Regards
    Sundar

  • Sundar Rajan G S

    @ prasad,I dont knw who the interviewers were. RegardsSundar

  • Prasad

    Ohh.. but rest assured that you have got in sundar.

  • Prasad

    Ohh.. but rest assured that you have got in sundar.

  • Tarun

    The diagonal of second rectangle is not a straight line.

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  • Tarun

    The diagonal of second rectangle is not a straight line.IIMJobswww.iimjobs.in

  • Prasad

    @tarun – you got that right :-) … there is a small kink in that diagonal where our magical 1 sq unit is accomodated!

  • Prasad

    @tarun – you got that right :-) … there is a small kink in that diagonal where our magical 1 sq unit is accomodated!