Posted by RHINO on .
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?
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)