Calc.
posted by Sarah .
Please help solve this,
A farmer has 600m of fence and wants to enclose a rectangular field beside a river. Determine the dimensions of the fence field in which the maximum area is enclosed. (Fencing s required on only three sides: those that aren't next to the river.)

adf

Guff ffgbbnh

A=L*W
P=L*2W three sides
600m=L*2W
L=6002W
substitute in the area
A=(6002W)*W
A=600W2W^2
convert the eq. to vertex form y=a(xh)^2+k
A=2W^2+600W
complete the square
A=2(W^2300W+22500)+22500*2
A=(W150)^45000
w=150
substitute calculate....
L=6002w
L=600300 =300
dimension
150x300 
A=L*W
P=L*2W three sides
600m=L*2W
L=6002W
substitute in the area
A=(6002W)*W
A=600W2W^2
convert the eq. to vertex form y=a(xh)^2+k
A=2W^2+600W
complete the square
A=2(W^2300W+22500)+22500*2
A=(W150)^45000
w=150
substitute calculate....
L=6002w
L=600300 =300
dimension
150x300 
A family wants to fence a rectangular play area alongside the wall of their house. The wall of their house bounds one side of the play area. If they want the play area to be exactly 400ft2, what is the least amount of fencing needed to make this? Round your answer to the nearest two decimal places.
Respond to this Question
Similar Questions

Calculus 1
A rectangular field is enclosed by a fence and separated into two parts by a fence parallel to one of the sides. If 600 m of fencing is available, what should the dimensions be so that the area is a maximum? 
Math (Quadratic Equations)
A field is bound on one side by a river. A farmer wants to enclose the other three sides of the field with fence in order to create a rectangular plot of land for his cows. If the farmer has 400m of fence to work with, determine the … 
Algebra
Word Problems: 1. A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. If he needs no fence along the river, what are the dimensions of the field that he can fence with the largest … 
Calculus
We are going to fence in a rectangular field and have a maximum of 200 feet of material to construct the fence. Determine the dimensions of the field that will enclose the maximum area? 
Pre calc
A farmer with 2000 meters of fencing wants to enclose a rectangular field that borders a barn. If the farner does not fence the side along the barn, what is the largest area that can be enclosed? 
Precalculus
A farmer has 1000 feet of fencing materials available to fence a rectangular pasture next to a river. If the side along the river does not need to be fenced, what dimensions maximize the enclosed area? 
math
Tshabalala wants to reconstruct his farm to separate his sheep and goats. Therefore he decided to enclose a rectangular field with a fence and divide it into two smaller rectangular fields by constructing another fence parallel to … 
math
A farmer wants to fence in three sides of a rectangular field shown below with 880 feet of fencing. The other side of the rectangle will be a river. If the enclosed area is to be maximum, find the dimensions of the field. 
calculus
Sam has 1200 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Express the area of the field as a function of its dimension. Find the dimensions of the field … 
Algebra
A homeowner wants to enclose a rectangular piece of land beside a river. He must put a fence on 3 sides of the field (the river forms the fourth side). The field has length L (which runs parallel to the river) and width W. The homeowner …