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.Com
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) (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
RELATED QUESTIONS
Farmer Ed has 4,000 meters of fencing, and wants to enclose a rectangular plot that... (answered by macston)
Farmer Ed has 900900 meters of fencing, and wants to enclose a rectangular plot... (answered by josmiceli)
Farmer Ed has 4,000 meters of fencing, and wants to enclose a rectangular plot that... (answered by macston)
A farmer wants in enclose a rectangular plot of land with an area of 600 sq.ft. that... (answered by ankor@dixie-net.com)
A farmer with 1000 meters of fencing wants to enclose a rectangular plot that borders... (answered by KMST)
a farmer with 4000 meters of fencing wants to encloce a rectangular plot that borders on... (answered by checkley77)
A farmer has 120 meters of fencing and wants to enclose a rectangular plot of land that... (answered by TimothyLamb)
A farmer has 120 meters of fencing and wants to enclose a rectangular plot of land that... (answered by TimothyLamb)
Enclosing the Most Area with a Fence. A farmer with 4000 meters of fencing wants to... (answered by checkley77)