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Math Help - finding lengths and other from algebraic equations of shapes

  1. #1
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    finding lengths and other from algebraic equations of shapes

    a few questions


    question 2
    rectangular shape

    area of land is represented by: 2x^2 + 17xy +21y^2

    give the possible expressions that represent the dimmensions, and
    a fence will be planted around the shape, and it will be x meters from the pitch. Give the algebreic expression that reprsents the length of hte proposed fencing
    question 3

    a box has a voulme of 12x^3 - 16x^2 -5x+3, and the top has a surface area of 6x^2 -11x +3, give the height

    an fyi: this is not homework, this is from a pratice sheet for the nationwide exam tomorrow.
    Last edited by hossaim; February 20th 2013 at 06:21 PM.
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  2. #2
    Senior Member MacstersUndead's Avatar
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    Re: finding lengths and other from algebraic equations of shapes

    I don't know what "from the pitch" means for this problem so I'll go to question three.

    we know that the volume of a box (in other words a prism EDIT:// not necessarily square)

    V = (Surface Area) * z. Hence z = V / (Surface Area)

    z= \frac{12x^3-16x^2-5x+3}{6x^2-11x+3}
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