Question

(Optimization Problem) You're building a fence in a rectangular area for a garden outside of your...

(Optimization Problem) You're building a fence in a rectangular area for a garden outside of your house. One side of the garden is up against the wall of your house and doesn't need fencing. You have 100 feet of fencing material. What are the dimensions of the largest area you can enclose? Show all work.

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
(Optimization Problem) You need to fence in a rectangular area for a garden outside of your...
(Optimization Problem) You need to fence in a rectangular area for a garden outside of your house. One side of the garden is against the wall and does not need a fence. You have 144 feet of fencing material. What are the dimensions of the largest area you can enclose? Draw and label the problem, identify the objective equation, list the constraints, and show all work.
Optimization problem: You need to fence in a rectangular area for a garden outside of your...
Optimization problem: You need to fence in a rectangular area for a garden outside of your house. One side of the garden is against the wall and does not need a fence. You have 114 feet of fencing material. What are the dimensions of the largest area you can enclose? Draw and label the problem, identify the objective equation, list the constraints, and show all work.
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?
(Optimization) A rectangular field is to be fenced off along a river where no fence is...
(Optimization) A rectangular field is to be fenced off along a river where no fence is needed on the side along the river. If the fence for the two ends costs $12/ft and the fence for the side parallel to the river is $18/ft. Determine the dimensions of the field that can be enclosed with the largest possible area. Total funds available for fencing: $5,400
Suppose that a rectangular garden shall be fenced off and then divided by a fence into...
Suppose that a rectangular garden shall be fenced off and then divided by a fence into two sections, as pictured below. There is only 60 feet of fencing for the project. Find the dimensions l and w of the garden which will maximize the area of the entire rectangular garden. Be sure to check that these dimensions maximize the area.
A homeowner wants to create an enclosed rectangular patio area behind their home. They have 168...
A homeowner wants to create an enclosed rectangular patio area behind their home. They have 168 feet of fencing to use, and the side touching the home does not need fence. What should the dimensions of the patio be to enclose the largest area possible?
A fence is to be built to enclose a rectangular area of 800 square feet. The...
A fence is to be built to enclose a rectangular area of 800 square feet. The fence along three sides is to be made of material that costs $6 per foot. The material for the fourth side costs $18 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built?
A fence is to be built to enclose a rectangular area of 18001800 square feet. The...
A fence is to be built to enclose a rectangular area of 18001800 square feet. The fence along three sides is to be made of material that costs ​$44 per foot. The material for the fourth side costs ​$1212 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built.
A fence is to be built to enclose a rectangular area of 270 square feet. The...
A fence is to be built to enclose a rectangular area of 270 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 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
A fence is to be built to enclose cows in a rectangular area of 200 square...
A fence is to be built to enclose cows in a rectangular area of 200 square feet. The fence along three sides is to be made of material that costs $5 per foot, and the material for the fourth side costs $16 dollars per foot. Find the dimensions of the enclosure that minimize cost, and give the minimum cost to build the fence