SOLUTION: Farmer Ed has 900900 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, find t
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Question 1024229: Farmer Ed has 900900 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, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = width of rectangular plot in meters
( perpendicular to river )
= length in meters ( parallel to river )
Let = area
This is a parabola with a maximum because of
the minus sign with term
Use the formula:
when the from of the equation is:
----------------
and
-------------------------
the length and width of the plot
that will maximize the area are:
width = 225225 m
length = 450450 m
------------------
The maximum area is:
( ran out of places on my calculator )
---------------
Here's the plot:
( calibrated in 1/1000's )
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