A farmer has 600 meters of fencing and wishes to enclose a rectangular field and then divide it into 3 separate plots. Set up an equation for the total length of fencing in terms of lengths x and y. Set up an eqaution for the entire area od the field in terms of x.

Answer 1

Draw a diagram.
Let each part of the field have dimensions x and y, with the whole field of length 3x. Then the amount of fencing needed is
6x+4y = 600
The area, naturally, is 3xy

If the three parts are not the same length, then just let x be the whole width, and then you have
area = xy
fence = 2x+4y