To enclose rectangular field whose area is 68200 square meter, a farmer used 1460 m of fencing material. What is the length and width of the field.

Please answer.. Thank you

2 answers

L * w = 68200
however unless you know more about the ratio of L to w, there are an infinite number of solutions.
I did not notice the second part.
L * w = 68200
2 L + 2 w = 1460

L = 730 - w

(730-w)w = 68200

730 w - w^2 = 68200
w^2 -730 w + 68200 = 0
w = [ 730 +/- sqrt(532900-272800)]/2

w = [730 +/-510 ]/2
w = 110 or 620
L = 620 and w = 110