A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land . One boundary of the lanc is the bank of a straight river . What are the dimensions of the rectangle so that the area is maximized ?

Q: John wants to enclose his rectangular garden. One side of his garden is up against his house. If he…

A: Given that  John wants to enclose his rectangular garden. One side of his garden is up against his…

Q: Find the dimensions of a rectangle with an area of 2568 m^2 whose perimeter is as small as possible.

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Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length? *

A: Let the Length of the rectangle be:  x Let the Width of the rectangle be: y It is given that the…

Q: An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen…

A: Let x and y be the dimension of the rectangular playpen. Given

Q: 3. An architect is asked to design a game room in the shape of an isosceles trapezoid, where the non…

A: I am attaching image so that you understand each and every step.

Q: A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet of fencing. What…

A: Given problem:- A farmer builds a rectangular grid of pens with 1 row and 5 columns using 550 feet…

Q: a. A rectangular pen is built with one side against a barn. If 2200 m of fencing are used for the…

A: a)find the dimensions maximize the area of the pen

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: a. A rectangular pen is built with one side against a barn. If 400 m of fencing are used for the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2500 yd…

A:

Q: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5…

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Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

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Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Let us assume the side of bird sanctuary along the river side is x km and other side is y km. Since,…

Q: Suppose that a homeowner wants to create a rectangular enclosure for his pet turkey in his backyard…

A: It is given that, the rectangle has one side of enclosure and fencing on other 3 sides. A total of…

Q: A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: Let, x be the length of the rectangle and ybe the breadth of the rectangle. Given that, A rectangle…

Q: A rectangular lot has a perimeter of 80m. If its lot area is to be maximized, what is its length?

A:

Q: Two chicken coops are to be built adjacent to one another using 120 ft of fencing. a. What…

A: Total fence needed is: (x+x+x)+y+y+y+y=3x+4y So, 3x+4y=120

Q: a rectangular property has three sides fenced in against an existing river by 1,200 feet of wooden…

A: Consider the given information.

Q: A 20 feet wire is cut into two pieces. To form an isosceles triangle and a circle, find the…

A: Concept: If a solid is formed through a wire then the perimeter of the solid is equal to the length…

Q: Suppose the farmer makes the rectangular holding pen using an existing fence for one side. What…

A: Let the farmer makes the rectangular holding pen using an existing fence for one side.  let the…

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

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Q: A rancher plans to make four identical and adjacent rectan- gular pens against a barn, each with an…

A: Let the width of each pen be x and the length of each pen be y. As the pens are rectangular thus the…

Q: A farmer wishes to build a rectangular fence and has 800 meters of fencing material with which to…

A:

Q: A rectangular bird sanctuary is being created with one side along astraight riverbank. The remaining…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

Q: Suppose you are designing a rectangular room with a fixed perimeter of 60 ft, use the method of…

A: Consider the equation

Q: Farmer Ed has 700 700 meters of​ fencing, and wants to enclose a rectangular plot that borders on a…

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Q: Bubba, a farmer, wants to fence-in a three-sided area next to his barn, using the side of the barn…

A:

Q: Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area.

A: Given that the perimeter of the rectangle is 200 feet.   Suppose that the length of the rectangle x…

Q: 10. A farmer has 400 feet of fencing to enclose two adjacent sheep corrals. What should be the…

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Q: According to postal regulations, a carton is classified as oversized if the sum of its height and…

A: NOTE- I have solved the second question as we are allowed to solve only one question in one session.…

Q: A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight…

A: Let l and w be the length and width of the rectangular plot. Use the formula A=lw, to find the area…

Q: A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive x-…

A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=/144- x2 with the largest…

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Q: what is the maximum possible volume of rectangle box with the sum of it is 12 edges 24cm

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Q: A farmer has 100 feet of fence and wants to make a rectangular holding pen. What dimensions should…

A: Given: Length of fence available = 100 ft

Q: A track and field area is to be constructed in the shape of a rectangle with semicircles at each…

A: From the given data:

Q: What are the dimensions of a rectangle that will maximize the area given its imeter is 100 units?

A: Given: Perimeter of rectangle is 100 units   To Find: Dimensions of a rectangle that will maximize…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1400…

A: Given:  A lifeguard needs to rope off a rectangular swimming area in front of Long lake beach using…

Q: A farmer wants to rope off an area for a new garden using 3300 yards of rope. What dimensions of a…

A:

Q: A rancher has 308 feet of fencing with which to build a rectangular corral along side an existing…

A: Maximization problem

Q: A rancher has 100 yards of fencing to enclose a rectangular corral next to a river. No fencing is…

A: x=width  y=length total fence length is p=100 yards p=2x+y 100=2x+y y=100-2x

Q: A rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

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Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to…

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants…

Q: A gardener has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing…

A: GivenAmount of fence available=60 yards

Q: The owner of a ranch has 1,000 yards of fencing material with which to enclose a rectangular piece…

A:

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

A:

Q: Farmer Ed has 750 meters of fencing, and wants to enclose a rectangular plot that borders on a…

A: Given that The total fancing=750meters. The length lebeled = 750-2x meters The width lebeled=x…

Q: An aquarium is to be constructed to hold 2160 in The base is to made of slate and the sides of…

A:

Q: A rancher has 1500 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will…

A: Refer to the questionLet the common sides of two rectangular corrals be x then the sketch for the…