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Math Help - Fencing Question. Help me find the length & width

  1. #1
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    Fencing Question. Help me find the length & width

    A farmer wants to set aside a rectangular plot of land to contain 100 square meters. If the width is 23 more than the length, find the dimensions of the plot.

    length=_____

    width=_____
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  2. #2
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    Re: Fencing Question. Help me find the length & width

    total land area = 100 sq.m
    Let the length be x m
    then the width will be x+23 m
    Since the plot is rectangular , therefore area is given by length *width
    => x(x+23) = 100
    =>x^2+23x = 100
    =>x^2+23x-100 = 0

    On solving this quadratic equation you will get x = -26.7 or x=3.7
    rejecting the negative value (as length or width cannot be negative),

    Length is 3.7 m
    width is 3.7 +23 = 26.7 m which is approximately 100 m.
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    Re: Fencing Question. Help me find the length & width

    Quote Originally Posted by mrmaaza123 View Post
    total land area = 100 sq.m
    Let the length be x m
    then the width will be x+23 m
    Since the plot is rectangular , therefore area is given by length *width
    => x(x+23) = 100
    =>x^2+23x = 100
    =>x^2+23x-100 = 0

    On solving this quadratic equation you will get x = -26.7 or x=3.7
    rejecting the negative value (as length or width cannot be negative),

    Length is 3.7 m
    width is 3.7 +23 = 26.7 m which is approximately 100 m.
    I appreciate your answer, but unfortunately it's wrong :/
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    Re: Fencing Question. Help me find the length & width

    Ok, so the calculation may have gone wrong. Did you manage to get the answer with this approach? By the way what's the answer.
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  5. #5
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    Re: Fencing Question. Help me find the length & width

    Quote Originally Posted by spyder12 View Post
    I appreciate your answer, but unfortunately it's wrong :/
    You were given approximations for the roots. Use the quadratic formula to get the exact value in question. The quadratic equation supplied by mrmaaza123 is correct.
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    Re: Fencing Question. Help me find the length & width

    Quote Originally Posted by mrmaaza123 View Post
    Ok, so the calculation may have gone wrong. Did you manage to get the answer with this approach? By the way what's the answer.
    This question was part of my online homework which was due today at 12pm--9 minutes ago--so now the question is closed and I can't access it anymore so I just left it blank. You're answer seemed correct maybe there's just a glitch on that question lol
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    Re: Fencing Question. Help me find the length & width

    Quote Originally Posted by MarkFL2 View Post
    You were given approximations for the roots. Use the quadratic formula to get the exact value in question. The quadratic equation supplied by mrmaaza123 is correct.
    yeah I'm sure that was the problem I probably needed the exact answer
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