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A farmer has 12000m roll of fencing. He wants to make 2 paddocks by splitting a rectangle enclosure in half. What are the dimensions of the enclosure with the largest area that he can make with the fencing he has?

I got 6,000,000 m^2, is it right?

PLZ help

  • Math -

    split the fence equally between length and width. So, two pens of 2000x3000. I make that 12,000,000.

    To be sure, use algebra.
    If the pens are x long ad y wide, then

    2x+3y = 12000
    area = 2xy = 2x(12000-2x)/3
    This is a parabola with vertex at (3000,12000000)

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