SOLUTION: You have a 420m of fencing to enclose a rectangular plot that borders a river. If you do not fence the side along the river, find the length and width of the plot that will maximiz

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: You have a 420m of fencing to enclose a rectangular plot that borders a river. If you do not fence the side along the river, find the length and width of the plot that will maximiz      Log On


   



Question 879479: You have a 420m of fencing to enclose a rectangular plot that borders a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
420 = L + 2w
420-2w = L
A = Lw = (420-2w)w =
A = -2w^2 + 420
A = -2(w - 105)^2 +22050
max(105, 22050)
w = 105, L = 210
22,050 m^2, max area