# A rectangular enclosure is to be created using 82m rope. A) What are the dimensions of the max area Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed C) How much more area can

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1. ### math

A rectangular enclosure is to be created using 82m rope. A) What are the dimensions of the max area Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed C) How much more area can be enclosed if the rope is used instead of the barriers
2. ### Algebra

To make an enclosure for chickens, a rectangular area will be fenced next to a house. Only 3 sides will need to be fenced. There is 120 ft. of fencing material. a. What quadratic function represents the area of the rectangular enclosure, where x is the distance from the house...
3. ### Algebra

Suppose a farmer has 120 feet of fencing to make a rectangular barnyard enclosure. If the enclosure is x feet long, express the area A of the enclosure as a function of the length x.
4. ### Math

Suppose a farmer has 120 feet of fencing to make a rectangular barnyard enclosure. If the enclosure is x feet long, express the area A of the enclosure as a function of the length x. Briefly explain.
5. ### math

Chris wants to make an enclosed rectangular area for a mulch pile. She wants to make the enclosure in such a way as to use a corner of her back yard. She also wants it to be twice as long as it is wide. Since the yard is already fenced, she simply needs to construct two sides ...
6. ### math

Suppose you have enough material for 60 feet of fencing. With this material you want to build the largest rectangular enclosure possible. What are the dimensions of the largest possible enclosure, and what is its area?
7. ### geometry

a field bounded on one side by a river is to be fenced on three sides to form a rectangular enclosure. there are 320 ft of fencing available. what should the dimensions be to have an enclosure with the maximum possible area?
8. ### Calculus

A construction company wants to build a rectangular enclosure with an area of 1000 square feet by fencing in three sides and using its office building as the fourth side. Your objective as supervising engineer is to design the enclosure so that it uses the least amount of ...
9. ### Math

Please help with this problem! Brandon wishes to fence in a rectangular area of his lawn for his rabbit. If the measure, in feet, of each side of the enclosure is a positive integer and the perimeter of the enclosure is 70 feet, what is positive difference between the area of ...
10. ### calculus

You have been hired by a farmer to design a fenced-in rectangular enclosure for emus. The emus will require 720 square feet of area in which to roam, and the fence will cost 20 dollars per foot. The rectangular area will adjoin an existing wall, so a fence is only needed on ...
11. ### math

You have a 1200 foot roll of fencing and a large field. You want to make two smaller fields by splitting a rectangular enclosure in half.. 1. Use an algebraic solution to find the dimensions of the largest such enclosure. How big will the enclosure be?
12. ### Calculus

a property owner wants to build a rectangular enclosure around some land that is next to the lot of a neighbor who is willing to pay for half the fence that actually divides the two lots. If the area is A, what should the dimensions of the enclosure be so that the cost to the ...
13. ### appliedcalculus

Suppose a farmer has 1,000 feet of fence and wishes to build two identical rectangular enclosures. What should be the dimensions of each enclosure if the total area is to be a maximum? Set problem up and solve using derivatives.
14. ### Math

1. If the point (-3,30) is on the graph y=(x-1)^2+14, where will the point be on y=(x-8)^2-6? I don't understand what this is asking and how I can find this. 2. A rental business charges \$12 per canoe and averages 36 rentals a day. For every 50-cent increase in rental price, ...
15. ### Calculus

The ride has 100 metres of fencing to make a rectangular enclosure as shown. link for the image imageshack com /a/img909/2881/WTnncK.jpg It will use existing walls for two sides of the enclosure, and leave an opening of 2 metres for a gate. a Show that the area of the ...
16. ### algebra

Mike's family wants to build a rectangular fenced backyard area for their dog. They have a 20-meter length of wire fence and four posts. They can also use the 20-meter straight length of the back of their house as a side of the enclosure, but the fence cannot attach directly ...
17. ### arithematic

A horticulturalist is building a fence around a rectangular garden using the side of the building for one side of the enclosure. she has 81 feet fencing. what should be the dimensions of the enclosure be so that she can maximize the garden's area?
18. ### math

María plans to enclose a rectangular area of her yard using the 16-foot side of her storage shed as one side of the enclosure, as shown above. If she uses 64 feet of fencing to complete the enclosure, what will be the length, x, of the enclosure?
19. ### Math

Eighty metres of fencing are available to enclose a rectangular area. What are the dimensions that enclose the max area. What is max area?
20. ### maths

A farmer has 120 metres of fencing. He is going to make a rectangular enclosure PQRS with the fencing. He is also going to divide the enclosure into two equal parts by fencing along MN. SNR The width of the enclosure is x metres. The length of the enclosure is y metres. (a) (i...
21. ### Maths

You have 400 meters of fencing to use to make a rectangular enclosure. Give a detailed explanation of the different dimensions and areas that you are able to create using the set amount of fencing that you have. You may also show the dimensions of the rectangle where you would...
22. ### Calculus

A farmer has 120 meters of wire fencing to make enclosures for his pigs and cows. The rectangular enclosure he is considering will have one side up against a barn (in the center of one side that is 150 meters long, so the enclosure won't require fencing along that edge) and a ...
23. ### Algebra 2

A rectangular field is to be enclosed by 300 feet of fencing. Find the dimensions of the enclosure that maximizes the area.
24. ### Engineering

4. A rectangular enclosure is formed by using 800m of fencing. Find the greatest possible area that can be enclosed in this way and the corresponding dimensions of the rectangle.
25. ### Math

A rectangular enclosure is to be constructed with 800 feet of fence in order to have four sections. What should be the dimensions in order to maximize the area enclosed? What is the maximum area?
26. ### College Algebra

Rita has 88 feet of fencing. She wants to use this fencing to enclose a rectangular area of 480 square feet. What must the dimensions of her rectangular enclosure be?
27. ### math

Ex. 120 m of fencing is to be used to form three sides of a rectangular enclosure , the fourth side being an existing wall . Find the maximum possible area of the enclosure
28. ### optimization

A farmer wants to make 9 identical rectangular enclosures as shown in the diagram below. If he has 720 feet of fencing materials, what should the dimensions of each enclosure be if the total area is to be maximized?
29. ### Algebra

A rectangular pig pen is made of 84 meters of fencing on three sides. The fourth side is a barn wall. Find the dimensions and greatest possible area of the enclosure.
30. ### math

let’s say you have 4x feet of fencing, where x is any number. What, in terms of x, should the dimensions of the largest rectangular enclosure be, whose perimeter is 4x feet? What would the area be?
31. ### Math

The question is: A gardener wishes to create a rectangular bed. There are 70 meters of fencing wire which will be used to fence three sides of the garden bed, with a brick wall forming the fourth side. Calculate the maximum area of the garden bed that can be created, and state...
32. ### Functions

A farmer wants to enclose a rectangular field with 180m of fencing. The side of the barn will act as one side of the enclosure, leaving 3 sides to be covered. The function that describes the area inside is f(x)=x(180-2x) what are the dimensions of the closure with the largest ...
33. ### Optimization Calculus

A three sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region. There is 96 ft of fencing available. Find the maximum enclosed area and the dimensions of the corresponding enclosure. I drew a picture of it and I got ...
34. ### Calculus

You are given a piece of sheet metal that is twice as long as it is wide an has an area of 800m^2. Find the dimensions of the rectangular box that would contain a max volume if it were constructed from this piece of metal by cutting out squares of equal area at all four ...
35. ### Math (optimization) really confused

A rectangular fenced enclosure of area 225 square feet is divided half into 2 smaller rectangles. What is the minimum total material needed to build such an enclosure?
36. ### Calculus

A rancher has 900 meters of fence to enclose a rectangular corral. The corral is to be divided into four subcorrals. What are the overall dimensions of the large enclosure that yield the maximum area?
37. ### math

a farmer has 120 m of fencing to make two identical rectangular enclosures using an existing wall as one side of each enclosure. The dimensions of each closure are x metres and y metres as shown. Obtain and expression in terms of x only for the total area of two enclosures, ...
38. ### Math

1. A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region. The enclosed area is to equal 1800 ft2. Find the minimum perimeter and the dimensions of the corresponding enclosure.
39. ### Math Calculus

Three sides of a fence and an existing wall form a rectangular enclosure. The total length of a fence used for the three sides is 240 ft. Let x be the length of two sides perpendicular to the wall as shown. Write an equation of area A of the enclosure as a function of the ...
40. ### math

4( x-2) metres of rope is used to fence this rectangular enclosure.Find x
41. ### Math

A rectangular ﬁeld is to be fenced in on four sides with a fifth piece of fencing placed Parallel to one of the shorter sides, so that the ﬁeld is split in two parts. If 1600 m of fencing is available, ﬁnd the largest possible area for this enclosure. What dimensions ...
42. ### math

You have two formulas to use: A = lw -->area = length times width P = 2l + 2w -->perimeter You know the perimeter, which is 200m of fencing. Let length = x Now let's solve the perimeter equation for w, using what we know: 200 = 2x + 2w 200 - 2x = 2w (200 - 2x)/2 = w 2(...
43. ### math

A rectangular field is to be enclosed by a fence. Two fences parallel to one side of the field divide the field into three rectangular fields. If 2400m of fence are available find the dimensions giving the max area.
44. ### clemson

A farmer wants to make three identical rectangular enclosures along a straight river, as in the diagram shown below. If he has 1680 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be ...
45. ### Math

1. A gardener has 140 feet of fencing to fence in a rectangular vegetable garden. Find the dimensions of the largest area he can fence. Find the possible rectangular area he can enclose. 2. Suppose a farmer has a large piece of land and he wants to make a rectangular fence for...
46. ### College Algebra

A rectangular enclosure is to be constructed with 2,000 feet of fence in order to have four sections, as in the diagram below. What should be the dimensions in order to maximize the area enclosed? What is the maximum area? (So the diagram is just four rectangles connected side...
47. ### Applied Math- Gr.11

A farmer wants to enclose three sides of a rectangular pasture unsing 1000 yards of fencing. The fourth side does not require fencing because it borders a river. What dimensions (length and width) should the farmer choose in order to enclose the greatest area? a) Find at least...
48. ### Math

A farmer has 12000m roll of fencing. He wants to make 2 paddocks by splitting a rectangle enclosure in half. What are the dimensions of the enclosure with the largest area that he can make with the fencing he has? I got 6,000,000 m^2, is it right? PLZ help
49. ### Math

A farmer has 12000m roll of fencing. He wants to make 2 paddocks by splitting a rectangle enclosure in half. What are the dimensions of the enclosure with the largest area that he can make with the fencing he has? I got 6,000,000 m^2, is it right? PLZ help
50. ### Math

A farmer has 12000m roll of fencing. He wants to make 2 paddocks by splitting a rectangle enclosure in half. What are the dimensions of the enclosure with the largest area that he can make with the fencing he has? I got 6,000,000 m^2, is it right? PLZ help
51. ### Math

A fence to a rectangular enclosure has a width w, which Is (5m) shorter than its length. (A).write down an expression for the perimeter of the enclosure. (B).if the perimeter is not to exceed (150m), find the maximum possible width of the enclosure.
52. ### calculus optimization max min

find the dimensions of the rectangular area of maximum area which can be laid out within a triangle of base 12 and altitude 4 if one side of the rectangle lies on the base of the triangle thanks
53. ### geometry

the area of the rectangular playground enclosure at South School is 500 square meters. The length of the playground is 5 meters longer than the width. Find the dimensions of the playground, in meters.
54. ### calc

by cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, the cardboard may be turned into an open box. if the cardboard is 16 inches long and 10 inches wide, find the dimensions of the box that will yield the ...
55. ### Math

Find the Maximum area for the given perimeter of a rectangle. State the length and width of the rectangle. 28 inches Well, finally a calculus problem. Ok, we know that the area for a rectangle is A=l*w and the perimeter is P=2(l+w) In this problem P= 28, so let's express one ...
56. ### math

A farmer has 100metres of fencing from which to build a rectangular chicken run. He intends to use two adjancent walls for two sides of the rectangular enclosure. Determine a formular for the enclosed area in terms of X?
57. ### calculus - applied problems

Max area - A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area if the total perimeter is 16 feet. - - - - - --------- ! ! ^ !<-x/2->! y --------- <---x--->
58. ### calculus - applied problems

Max area - A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area if the total perimeter is 16 feet. - - - - - --------- ! ! ^ !<-x/2->! y --------- <---x--->
59. ### algebra

A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft. of fence? What should the dimensions of the garden be to give this area? The max. area that the farmer can...
60. ### maths

A farmer has 100metres of wire fencing from which to build a rectangular chicken run.He intends using two adjacent walls for two sides of the rectangular enclosure. Detrmine a formula for the enclosed area in terms of x
61. ### maths

A farmer has 100metres of wire fencing from which to build a rectangular chicken run.He intends using two adjacent walls for two sides of the rectangular enclosure. Detrmine a formula for the enclosed area in terms of x
62. ### geometry

Zoe the goat is tied by a rope to one corner of a 15 meter-by-25 meter rectangular barn in the middle of a large grassy field. Over what area of the field can Zoe graze if the rope is 10 meters long? 20 meters long? 30 meters long?
63. ### Geometry

Zoe the goat is tied by a rope to one corner of a 15 meter-by-25 meter rectangular barn in the middle of a large grassy field. Over what area of the field can Zoe graze if the rope is 10 meters long? 20 meters long? 30 meters long?
64. ### Geometry

Zoe the goat is tied by a rope to one corner of a 15 meter-by-25 meter rectangular barn in the middle of a large grassy field. Over what area of the field can Zoe graze if the rope is 10 meters long? 20 meters long? 30 meters long?
65. ### pre-calc

a farmer wants to make a rectangular enclosure using a wall as one side and 120 m of fencing for the other three sides. a) express the area in terms of x and state the domain of the area function b)find the value of x that gives the greatest area. my teacher didn't explain how...
66. ### Calc

Rope and wire are arranged in the shape of a rectangle. Two parallel sides of the rectangle are made from the rope which costs \$2.00 per foot. The other two sides are made from the wire which costs \$3.00 per foot. Find the dimensions of the rectangle enclosing the most area ...
67. ### math

The base of a rectangular prism has dimensions (x)cm by (2x) cm and a height of (x + 2) cm. If the total surface area is 63cm squared, find the value of x and the dimensions of the rectangular prism....
68. ### Algebra

Suppose you want to enclose a rectangular garden plot against a house using fencing on three sides, as shown at the left. Assume you have 50 ft. of fencing material and want to create a garden with an area of 150 ft². A. Let w = the width. Write an expression for the length ...

A rectangular feel measures 15m by 20m. A rectangular area is to be fenced in by reducing each dimension by the same amount. The fenced in area will be 1/2 the original area. What will the dimensions of the fenced in area be? I'm really confused, can someone please explain to ...
70. ### math

a. A rectangular pen is built with one side against a barn. 1200 m of fencing are used for the other three sides of the pen. What dimensions maximize the area of theâ€‹ pen? b. A rancher plans to make four identical and adjacent rectangular pens against aâ€‹ barn, ...
71. ### Calculus

A rectangle is to be inscribed under the curve y=4cos(.5x). The rectangle is to be inscribed from x=0 to x=pi. Find the dimensions that give max area and what is the max area.
72. ### calculus

A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides is to be made of material that costs 3 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the dimensions of the enclosure that is most ...
73. ### Calculus 1

A fence is to be built to enclose a rectangular area of 220 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 ...
74. ### Math

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 3 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the dimensions of the enclosure that is most ...
75. ### Math

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 3 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the dimensions of the enclosure that is most ...
76. ### Calculus

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 4 dollars per foot, and the material for the fourth side costs 12 dollars per foot. Find the dimensions of the enclosure that is most ...
77. ### math

a rectangular security area is enclosed with 200 ft of fencing. if this rectangular area is arranged so that the ratio of the length to the width is 5/3, find the dimensions.
78. ### Math Linear Inequalities

A rectangular enclosure must have an are of at least 4800yd^2. If 280yd of fencing is used, and the width can not exceed the length, within what limits must the width of the enclosure lie?
79. ### Math: Calculus

A fence is to be built to enclose a rectangular area of 230 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 15 dollars per foot. Find the dimensions of the enclosure that is most ...
80. ### Math 115

A fence is to be built to enclose a rectangular area of 320 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 dimensions of the enclosure that is most ...
81. ### Math (Area of Shapes)

Suppose that the spool is 1m long and has an inner diameter of 20 cm and an outer diameter of 60 cm. Approximately, how long a piece of 5 cm thick rope can be wound onto this spool? ( Assume that the rope is wound neatly, in layers. Each layer will consist of a row of "winds" ...
82. ### math

The perimeter of a rectangular cattle enclosure is 400 feet. It is 40 feet longer than it is wide. Using a system of equations solve for the length and width of the enclosure using the substitution method.
83. ### Math

Eleanor and Max used two rectangular wooden boards to make a set for the school play. 1 board was 6 ft long, the other was 5 1/2 ft long. The 2 boards had equal widths. The total area of the set was 60 3/8 square ft. What was the width?
84. ### Algebra

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a package (volume) while keeping how much material is required to create the package (surface area) low. Pick a product that might be packaged in the shape ...
85. ### College Math

I am so confuse about this question Determine the area of a circular enclosure and a square enclosure made with 107 meters of fence.
86. ### Math

A farmer has 36 feet of fence to build a pigpen. He is going to use one of the sides of his barn as a side to the rectangular enclosure. Determine a function A that represents the total area of the enclosed region. What is the maximum area that can be enclosed?
87. ### math

A cow is tethered by a piece of rope 50 meters long to the side of a rectangular barn. The rope is fastened to a hook (on the barn) that is located 20 meters from the corner along the longest side of the barn which measures 70 meters by 20 meters. Over how much ground (outside...
88. ### Math

a 120 foot long rope is cut into 3 pieces. the first piece of rope is twice as long as long as the second piece of rope. the third piece of rope id 3 times as long as the second piece of rope. what is the length of the longest piece of rope
89. ### Algebra

A builder has 80 feet of fencing to create an enclosure adjacent to a long existing wall. He will use the wall for one side and the available fencing for the remaining three sides. If the sides perpendicular to the wall have length x feet, which of the following represents the...
90. ### pre-calc

area of a rectangular region: a farmer wishes to create two rectangular regions bordering a river, by three fences perpendicular to the river and one connecting them. suppose that x represents the length of each of the three parallel pieces of fencing. she has 600 feet of ...
91. ### algebra

Marcus has 72 feet of fencing. He wants to build a rectangular pen with the largest possible area. What should the dimensions of the rectangular pen be to maximize the area?
92. ### PreCalculus

A homeowner has forty feet of fencing to enclose three sides of a rectangular patio. The fourth side of the patio is a side of the house, and requires no fencing. 1. Let x represent the side of the rectangle perpendicular to the house (this helps avoid having ½ in the ...
93. ### Math

A rectangular livestock pen with THREE SIDES of fencing is to be built against the barn. The fencing is 1050ft long. Find the dimensions of the maximum area that can be enclosed. What is the maximum area?
94. ### Math algebra

A 120- foot long rope is cut into three pieces the first piece of rope is twice as long as the second piece of rope the third piece of rope is three tines as long as the second piece of rope what is the length of the longest piece of rope?
95. ### Calculus

Consider the following problem: A farmer with 810 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total are of the four pens? your drawing should look like this...
96. ### Math( Attn: Reiny)

1. A rental business charges \$12 per canoe and averages 36 rentals a day. For every 50-cent increase in rental price, it will lose two rentals a day. What price would yield the maximun revenue? I was told the answer by Reiny, but I couldn't get the right answer. I found the ...
97. ### algebra

the perimeter of a rectangle is 82m. the length is 2m ore then twice the width. what is the dimensions?.
98. ### geometry

Given a rectangular prism with dimensions w = 3, l= 4, and h = 6. If you created a second rectangular prism with the length doubled but the height halved (and the width stays the same), which would be the relation of the second volume to the first volume?