Area maximization for fencing a yard
Jason plans to fence a rectangular area with 120 m of fencing. Allowing w to be width and l to be length of our rectangular area, we have, therefore,
perimeter = 2w + 2l = 120, or
l = 60 – w.
Knowing that our area A is wl, or
A = w(60-w),
what selection of width w will maximize our area A?