The following is an optimization problem. A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given 100 ft of wire fencing, determine the dimensions that would create a garden of maximum area. What is the maximum area? Rather than solving this problem, describe how you would set up the solution process.

Q: Hannah wants to enclose her rectabgle garden to keep animals out. one side of garden is against…

A: If x, y are length and width width of rectangle respectively then area of rectangle is xy. Length of…

Q: A piece of wire 16 ft. long is cut into two pieces. One piece is made into a circle and the other…

A: The objective of this question is to determine how to cut a 16 ft. wire into two pieces such that…

Q: You are going to mark out a rectangular area with rope and divide it into smaller areas. One side of…

A:

Q: Sarah is building a garden in her background. She has 120 m of fencing to put around the edge of her…

A: Fencing of Sarah's vegetable garden is 120m. As she wants to divide the garden into 3 separate…

Q: Due to the high living cost, Ali has planted several types of vegetables for his family consumption…

A: Given the dimension of rectangular field is (2-x)mand 3x m Hence the area of rectangular field is…

Q: Tito would like to make a small rectangular garden in his backyard, he wants to secure his chosen…

A: Length of the garden be ' l' and breadth of garden be ' b'.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: A trash company is designing an open-top, rectangular container that will have a volume of 625 ft.…

A: A trash company is designing on open top rectangular container having volume = 625 ft3  Let length…

Q: A homeowner has $1200 to spend on building a fence around a rectangular garden. Three sides of the…

A:

Q: Parents of a small child want to fence a rectangular play area in their backyard. The house is to…

A: We are trying to optimize the fencing which is equivalent to the perimeter of the 3-sided…

Q: You are designing a fenced-in area in your yard. You have a maximum 50 meters north-south where you…

A: It is given that you have a total of 250 meters of fence and you have a maximum 50 meters…

Q: "ou want to create a rectangular display board and line it with string lights. You want the ghts to…

A:

Q: Compelled to fence my dog, I have scrounged some lengths of picket fence from the dump. The four…

A:

Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have…

A:

Q: Paula plans to build a rectangular closure for her dogs using 140m of fencing. What is the maximum…

A:

Q: Susan wants to enclose a little rectangular garden against 1 side of her house.  She has 80 feet of…

A:

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area.…

A: