SOLUTION: Farmer Ed has 3,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the lar

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Farmer Ed has 3,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the lar      Log On

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Question 1138952: Farmer Ed has 3,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the largest area that can be​ enclosed?
The largest area that can be enclosed is__ square meters

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The two sides are x and the length is 3000-2x (draw this)
The area is x(3000-2x)=-2x^2+3000x
That maximum is where x=-b/2a or -3000/-4 or 750 m
so the sides are 750 m and the length is 1500 m with maximum area of 1,125,000 m^2