# 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
2. ## 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?
3. ## 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
4. ## maths

1000m of fencing is to be used to make a rectangular enclosure,Find the greatest possible area,and the corresponding dimensions if the length of the enclosure is xm and the width is (500-x)m.
5. ## 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?
6. ## 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
7. ## 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
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
9. ## 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
10. ## 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?
11. ## math

4( x-2) metres of rope is used to fence this rectangular enclosure.Find x
12. ## 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?
13. ## 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
14. ## 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.
15. ## 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.
16. ## 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?
17. ## 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
18. ## 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
19. ## 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.
20. ## 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.
21. ## Algebra 2

A rectangular field is to be enclosed by 300 feet of fencing. Find the dimensions of the enclosure that maximizes the area.
22. ## 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?
23. ## 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
24. ## 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.
25. ## 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?
26. ## 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?
27. ## 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?
28. ## 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
29. ## 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
30. ## 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.
31. ## 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?
32. ## 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?
33. ## 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.
34. ## 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.
35. ## 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
36. ## 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?

39. ## algebra

the perimeter of a rectangle is 82m. the length is 2m ore then twice the width. what is the dimensions?.
40. ## 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
41. ## 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?
42. ## 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
43. ## 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
44. ## 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
45. ## 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
46. ## 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
47. ## 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.
48. ## 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
49. ## 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?
50. ## 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 -
51. ## 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
52. ## 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
53. ## 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
54. ## 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
55. ## 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
56. ## 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
57. ## 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
58. ## 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
59. ## 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
60. ## 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
61. ## 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
62. ## 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
63. ## physics

A rope of mass M and length L is being rotated about one end in a gravity free space. A pulse is being created at one of the ends. The angle through which rope will be rotated in the time when pulse reaches the opposite end of rope for first time and for
64. ## physics

A rope of mass M and length L is being rotated about one end in a gravity free space. A pulse is being created at one of the ends. The angle through which rope will be rotated in the time when pulse reaches the opposite end of rope for first time and for
65. ## physics

33. A rope of mass M and length L is being rotated about one end in a gravity free space. A pulse is being created at one of the ends. The angle through which rope will be rotated in the time when pulse reaches the opposite end of rope for first time and
66. ## 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....
67. ## Volume of a rectangular prism

Hello, if the volume of a rectangular prism is LWH = 64 cubic inches, what are the dimensions of a rectangular prism with dimensions twice as long? Thank you!
68. ## MATH

AT THE ZOO, THERE ARE OSTRICHES AND DEER IN THE SAME ENCLOSURE. JARROD COUNTED 60 HEADS AND 160 LEGS. HOW MANY ANIMALS OF EACH TYPE WERE IN THE ENCLOSURE?
69. ## 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.
70. ## math

I need help figuring out the formula for this problem. What might the lengths of a horse enclosure border be if the enclosure is 52 square feet? I have to show my work. Please can someone help me figure it out?
71. ## math

Two rectangular garden plots with an area of 60 square feet have distinct integer dimensions. The difference in the dimensions of one plot is the same as the sum of the dimensions of the other plot. what are the dimensions of the 2 garden plots?
72. ## physics

A fan drawing electricity at a rate of 1.5kw is located within rigid enclosure of 3m*4m*5m. Enclosure is filled with air at 27oC, 0.1 MPa. The fan operates for 30 minutes. Assume the ideal gas model, determine a) mass (in kg) b) final T (in oC) and c)
73. ## Math

Rope p is 3 times as long as rope q. Rope q is 1m 10 cm shorter than rope r. Rope r is 1 m 30 cm shorter than rope p. What is the length of rope q? Express your answer in meters and centimeters
74. ## 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
75. ## math

logan built an enclosure for his chickens. He wanted opposite sides to be parallel, but the adjacent sides to be different lengths. what was the shape of the enclosure?
76. ## physics

Jane and John, with masses of 54kg and 63kg , respectively, stand on a frictionless surface 11m apart. John pulls on a rope that connects him to Jane, giving Jane an acceleration of 0.82m/s2 toward him. Part A What is the magnitude of the John's
77. ## Precalculus

There are 4 rectangular corrals of identical dimensions along the back wall of an existing barn using 200 ft of fencing. The diagram has 4 rectangular corrals attached together but fencing is not needed on the back wall of the barn. The barn is above the 4
78. ## Algebra

You have been asked to design an enclosure for a zoo animal with an area of 40m2. Consider -- what type of animal are you designing the enclosure for?
79. ## Math

What might the lengths of a horse enclosure border be if the area of the enclosure is 52 square yards?Be sure to give evidence to support your thinking. Draw a picture to support your answer?
80. ## Math

a farmer wants to put a fence around a rectangular field and then divide the field into three rectangular plots by placing two fences parallel to one of the sides. if the farmer can only afford 1000 yards of fencing, what dimensions will give the maximum
81. ## math

a cabinet will inclose a rectangular loud speaker system and will have an internal volume of 2.4 cubic feet. The height will be 1.5 times the width. What are the dimesnions of the enclosure that can be constructed at a minimum cost?
82. ## Math

A round 12-inch woofer is mounted to the bottom of a rectangular speaker enclosure with an inner width measurement of 12 inches. How far from corner A is the center, O, of the woofer?
83. ## Math

A farmer wishes to put a fence around a rectangular field and then divide the field into three rectangular plots by placing two fences parallel to one of the sides. If the farmer can afford only 1600 yards of fencing, what dimensions will give the maximum
84. ## Math

The temperature of an enclosure for a pet snake should be about 27°C, give or take 3°C. (show your work) a) What absolute value expression can be used to represent this situation? b) Use the expression to determine the temperature range the enclosure

The temperature of an enclosure for a pet snake should be about 27°C, give or take 3°C. (show your work) a) What absolute value expression can be used to represent this situation? b) Use the expression to determine the temperature range the enclosure

The temperature of an enclosure for a pet snake should be about 27°C, give or take 3°C. (show your work) a) What absolute value expression can be used to represent this situation? b) Use the expression to determine the temperature range the enclosure
87. ## Algebra

The Jones family bought a new pet rabbit. They want to build an enclosure outside . They have 30ft of lumber. Find the length and width of the enclosure if the length is to be 4ft longer than twice the width.
88. ## Calculus 12 Optimization

A farmer wishes to make two rectangular enclosures with no fence along the river and a 10m opening for a tractor to enter. If 1034 m of fence is available, what will the dimension of each enclosure be for their areas to be a maximum?
89. ## Maths

If a rectangular prism sides are increased by 2,3,4 cm to make a cube and the difference in the volume of the rectangular prism and the cube is 827cm3, what are the original dimensions of the rectangular prism?
90. ## ap Physics

AP PROBLEM CHILD ON A SWING AN ADULT EXERTS A HORIZONTAL FORCE ON A SWING THAT IS SUSPENDED BY A ROPE OF LENGTH L, HOLDING IT AN AN ANGLE q WITH THE VERTICAL. THE CHILD IN THE WING HAS WEIGHT W AND DIMENSIONS THAT ARE NEGLIGIBLE COMPARED TO L. THE WEIGHTS
91. ## Physics

A rope kept on a horizontal plane moves with a constant acceleration. If a constant force "f" acts on the rope,the tension of the middle of the rope is T. Which of the following are true? a)If the rope has a weight,T/f=1/2 b)If the rope is light,T/f=1 c)If
92. ## geometry

you have been asked to help build a rectangular play area at the new tracy elementary school. you arrive at the site eager to begin. much to your suprise, the only things available to work with are two pieces of rope. Explain how you can use the rope to
93. ## geometry

you have been asked to help build a rectangular play area at the new tracy elementary school. you arrive at the site eager to begin. much to your suprise, the only things available to work with are two pieces of rope. Explain how you can use the rope to
94. ## physics

A gymnast of mass 63.0 {\rm kg} hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch.Calculate the tension T in the rope if the gymnast climbs up the rope with an upward
95. ## math

An Artisan has 63 kg of metal of density 7,000kg/m3. He intends to use make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm. Calculate the length of the pipe in meters.
96. ## math

An Artisan has 63 kg of metal of density 7,000kg/m3. He intends to use make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm. Calculate the length of the pipe in meters.
97. ## math

An Artisan has 63 kg of metal of density 7,000kg/m3. He intends to use make a rectangular pipe with external dimensions 12 cm by 15 cm and internal dimensions 10 cm by 12 cm. Calculate the length of the pipe in meters.