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    gauravk_newton's Avatar
    gauravk_newton Posts: 9, Reputation: 1
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    #1

    Jan 31, 2009, 10:54 AM
    Number of rectangles
    #
    # There exists a grid of 10 squares by 20 squares. Find out the total number different rectangles possible?
    sarnian's Avatar
    sarnian Posts: 462, Reputation: 9
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    #2

    Jan 31, 2009, 07:46 PM
    Is this perhaps homework? There is a homework board on the education board.
    If so : how do you intent to approach this question yourself?
    Once you answer that, we'll take it from there !
    juhi2011's Avatar
    juhi2011 Posts: 91, Reputation: 4
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    #3

    Feb 2, 2009, 04:08 AM

    Hint : remember that every square is a rectangle but every rectangle is not a square. Answer is very simple...
    gauravk_newton's Avatar
    gauravk_newton Posts: 9, Reputation: 1
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    #4

    Feb 2, 2009, 05:35 AM
    My answer: 7560

    ANS = C(9,2) * n(n+1)/2 where n= 20
    = 7560


    is it correct?

    I hope u people don't mind replying atlst whether it was crrct or not? N if I was wrong. HOW?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #5

    Feb 2, 2009, 08:10 AM

    I got 11,550. Not sure why you have the C(9,2) term in there. You're on the right track with the n(n+1)/2 for n = 20; but you should have an additional term in there for n = 10. Remember that a 2x 3 rectange is not the same as a 3x2.
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