Question

A farmer needs to enclose three sides of a pasture with a fence (the fourth side...

A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a cliff wall). The farmer has 40 meters of fence and wants the pasture to have an area of 198 sq-meters. What should the dimensions of the pasture be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides); the length with be the longer dimension (needing one side). Additionally, the length should be as long as possible.)

length:

width:

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A farmer wants to enclose a rectangular field by a fence and divide it into 2...
A farmer wants to enclose a rectangular field by a fence and divide it into 2 smaller but equal rectangular fields by constructing another fence parallel to one side. He has 6,000 yards of fencing.(a) draw picture (b) Find the dimensions of the field so that the total area is a maximum. (c)  Find the dimensions of the rectangular field the farmer can make the will contain the largest area.
A farmer is building a fence to enclose a rectangular area against an existing wall, shown...
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below. A rectangle labeled, Fenced in Region, is adjacent to a rectangle representing a wall. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 184 feet of fencing, what is the largest area the farmer can enclose?
A farmer needs to build a rectangular pen with one side bordered by a river (that...
A farmer needs to build a rectangular pen with one side bordered by a river (that side does not need a fence). He wants the pen to have an area of 200 sq. ft. What should the dimensions of the pen be to use the smallest amount of fencing around the three fenced sides? Support your answer using derivatives
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $16 per linear foot to install and the farmer is not willing to spend more than $8000, find the dimensions for the plot that...
1.) A farmer wants to fence in a rectangular plot of land adjacent to the north...
1.) A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $12 per linear foot to install and the farmer is not willing to spend more than $3000, find the dimensions for the plot...
A fence is to be built to enclose a rectangular area of 280 square feet. The...
A fence is to be built to enclose a rectangular area of 280 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the length LL and width WW (with W≤LW≤L) of the enclosure that is most economical to construct.
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. Fencing costs $20 per linear foot. The farmer is not willing to spend more than $5000. Find the dimension for the plot that would enclose the most area.
(1 point) A fence is to be built to enclose a rectangular area of 310 square...
(1 point) A fence is to be built to enclose a rectangular area of 310 square feet. The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the length L and width W (with W≤L ) of the enclosure that is most economical to construct.
A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $24 per linear foot to install and the farmer is not willing to spend more than $6000, find the dimensions for the plot that...
1- A homeowner has a triangular-shaped backyard. Two of the three sides measure 60 feet and...
1- A homeowner has a triangular-shaped backyard. Two of the three sides measure 60 feet and 72 feet and form an included angle of 120°. To determine the amount of grass seed needed, the owner needs to know the area of the yard. Find the area of the yard. 2- A 310 foot tall tower is supported by guy wires that run from the tower’s top to the ground making angles of 70° with the ground. Find the length of...