# A rectangular dog pen that has the greatest possible area within a budget of 50\$.A pen needs at least one gate for a dog. Fencing is \$1.00 per foot, fence posts are \$2.00 each and gates (3 feet wide) are

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1. ### math

A rectangular dog pen that has the greatest possible area within a budget of 50\$.A pen needs at least one gate for a dog. Fencing is \$1.00 per foot, fence posts are \$2.00 each and gates (3 feet wide) are \$5.00 each. what is the area of a pen? pls help me !!!

Design a rectangular dog pen that has the greatest possible area and keep within a budget of \$50. Your pen needs at least one gate for your dog. Fencing is \$1.00 per foot, fence posts are \$2.00 each, and gates(3 feet wide) are \$5.00 each. What is the area of a pen? pls help me!!!
3. ### math

A friend is building a dog pen with an area of 150 square feet. Each side must be at least 5 feet long. a. List all possible dimensions of the dog pen. b. What is the maximum amount of fence required to build the dog pen? How much fence is required? c. What dimensions would ...
4. ### College Algebra Word Problem

A rectangular dog pen is to be made to enclose an area of 625 sq. ft. The pen is to be divided into 2 equal sections by a section of the fence. Find the dimensions of the pen that will require the least amount of fencing material. Thank you!
5. ### Math

You are designing a rectangular dog pen off the back of your house. The House will form one side of the dog pen. The pen is to have an area of 800 ft.² but you want to minimize the amount of fencing that you need for the three sides of the pen not against the house. This will...
6. ### Math

Brenda is building a rectangular pen for her dog. She has enough fencing to build the pen so that it has a perimeter of 36 feet. She wants the pen to have an area of 65 ft2. What are the dimensions of the dog pen? A. 5 feet by 13 feet B. 10 feet by 8 feet C. 9 feet by 9 feet D...
7. ### sheridan

Jim is setting up a rectangular dog run in his backyard. He buys six 3-foot sections of fencing and a 3-foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? a) Jim uses the yard fence for one side of the dog run. b) Jim uses the ...
8. ### MATHS

Jim is setting up a rectangular dog run in his backyard. He buys six 3-foot sections of fencing and a 3-foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? a) Jim uses the yard fence for one side of the dog run. b) Jim uses the ...
9. ### MATHS

Jim is setting up a rectangular dog run in his backyard. He buys six 3-foot sections of fencing and a 3-foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? a) Jim uses the yard fence for one side of the dog run. b) Jim uses the ...
10. ### math

Jim is setting up a rectangular dog run in his backyard. He buys six 3-foot sections of fencing and a 3-foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? a) Jim uses the yard fence for one side of the dog run. b) Jim uses the ...
11. ### word problem , MATHS

Jim is setting up a rectangular dog run in his backyard. He buys six 3-foot sections of fencing and a 3-foot wide gate. What are the dimensions of the dog run with the greatest area in each situation? a) Jim uses the yard fence for one side of the dog run. b) Jim uses the ...
12. ### Math

Andy plans to build a rectangular dog pen in his backyard. A portion of the back wall of his house will serve as one side of the dog pen. If the perimeter of the dog pen must be 40 feet, which of the following widths will result in the maximum area? A. 6 ft B. 8 ft C. 10 ft D...

A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area? The image looks like this: box box box box box box also: If the interior fencing is \$3.00 per foot ...
14. ### Math

A rectangular dog pen is to be constructed using a barn wall as one side and 60 meters of fencing for the other three sides. Find the dimensions of the pen that maximize the pen's area.
15. ### Pre-Algebra-math

Mr.Jones bought 20 yards of fencing to make a pen for his dog, the pen will be in a retangle shape fencing comes in 1-yard sections,he want the biggest space possible for his dog to run. What are the dimensions of the maximum space of the pen he can get??
16. ### Calculus Word Problem

A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area? The image looks like this: box box box box box box also: If the interior fencing is \$3.00 per foot ...
17. ### math

a farmer has enough fencing to build 40 feet of fence. He wishes to build a rectangular pen nest to his barn wall forming one side of the pen. What dimension should he make the pen so as to enclose the greatest possibility area?
18. ### calculus

a farmer wants to make a rectangular pen from 200 feet of fencing. he plans to use a 100 foot wall along with some of the fencing to make one side of the pen. find the dimensions of the pen that will make the enclosed area as large as possible.
19. ### math

A rectangular dog pen is to be sectioned off into two separate areas and made to enclose area of 225 feet. Find the dimensions of the pen that will require the least amount of fencing material.
20. ### College Algebra

A rectangular dog pen is to be made to enclose an area of 144 sq. ft. The pen is to be divided into 2 equal sections by a section of the fence. Assuming a total of 400 sq. feet of fence, find the dimensions of the pen that will require the least amonut of fencing material. Ok ...
21. ### Math

You have 2 hundred feet of fencing to use for building a rectangular dog pen. find the dimensions of the pan having the greatest possible area
22. ### Maths

Jessica needs to construct a rectangular outdoor dog pen. The pen must have 4 sides. I need to draw 6 different shaped rectangular pens, seen from the top, using 24m of fencing.
23. ### Math

Laura has 20 feet of fencing to make a rectangular pen for her dog. What is the largest area that she can fence in?
24. ### math

faye has 20 feet of fencing to make a rectangular pen for her dog.What is the largest area she can fence in?
25. ### Geometry

A farmer wants to fence in a rectangular pen using the wall of a barn for one side of the pen and 115 feet of fencing for the remaining 3 sides. What dimensions will give her the maximum area for the pen?
26. ### Algebra 2

One hundred feet of fencing is available to make a rectangular dog pen against an existing wall. What are the dimensions of the pen that will yield the maximum area? I need all of the steps to get to the answer.
27. ### geometry

Polly decides to use a wall of the house as one sideof the rectangular dog pen. She plans to use the 24 ft. of fencing (1 ft. sections) for the other 3 sides. What are the dimensions ofthe best dog pen for polly's poodle? Explain
28. ### Pre-Algebra-math

Mr.jones bought 20 yards of fencing to make pen for dog pen will be in rectangle shape, the fencing comes in 1 yard section, wants the MAXIMUM areafor his dog to run, what dimension will give the pen the biggest space for dog to run?? then what r the dimensions for the maximum...
29. ### Calculus

A rancher wants to make a rectangular pen to house her animals. She will divide it up with 3 fences down the middle parallel to one side. If she has 14000 ft of fencing to work with, what are the dimensions of the pen of greatest area? Width = Length = What is the greatest ...
30. ### algebra

Ian wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Ian has 450 feet of fencing, what dimensions would maximize the area of the pen? a) Let w be the length of the pen ...
31. ### Math

Can you please help me figure out what to do? ... here is the question ... I have 20 ft of fencing to make a rectangular pen for my dog. What is the largest area that I can fence in? ... Not sure what to do ... thank you!
32. ### Pre-aljebra

a rectangular dog pen is to be constructed so that one side is against an existing stone wall and the other three sides are to be fenced. of 500 feet of fence is to be used, determine the dimensions and area of the pen with maximum area. I have no idea how to solve this problem.
33. ### college math

a rectangular dog pen is to be constructed so that one side is against an existing stone wall and the other three sides are to be fenced. of 500 feet of fence is to be used, determine the dimensions and area of the pen with maximum area. I have no idea how to solve this problem.

A rectangular dog run is to be enclosed by a fence and then divided into two smaller rectangular areas by a fence parallel to one of the sides. If 54m of fence is available, find the dimensions of the dog run of greatest possible area. State the total area
35. ### Math

Trina has \$1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet. If the pen costs \$1 per square foot, what is the biggest pen (in terms of the radius) that she can afford? Round your answer to the nearest foot. A) 8 ...
36. ### 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, ...
37. ### Geometry

polly wants to build a rectangular dog pen for her poodle. She has 24ft of fencing in 1 ft sections. What are the dimensions of the best dog pen for polly's poodle? explain Please help my teacher never explains just hands out problems
38. ### calc

A farmer wishes to enclose a rectangular pen with area 100 square feet next to a road. The fence along the road is to be reinforced and costs \$34 per foot. Fencing that coast \$16 per foot can be used for the other three sides. What dimensions for the pen will minimize the cost...
39. ### Calc

A farmer wishes to enclose a rectangular pen with area 100 square feet next to a road. The fence along the road is to be reinforced and costs \$34 per foot. Fencing that coast \$16 per foot can be used for the other three sides. What dimensions for the pen will minimize the cost...
40. ### Calc

A farmer wishes to enclose a rectangular pen with area 100 square feet next to a road. The fence along the road is to be reinforced and costs \$34 per foot. Fencing that coast \$16 per foot can be used for the other three sides. What dimensions for the pen will minimize the cost...
41. ### math 115

1. sabrina has the following math quiz scores. 19, 24, 25, 17, 13, & 18. find her mean score, to the nearest tenth if necessary.= 13 is this correct? 2. eleven applications for a certain position had the following ages. 32, 33 ,25, 36, 48, 51, 28, 23, 54, 52, 45. what was the ...
42. ### math

John made a rectangular pen for his dog using 28 feet of fencing.If the width of the pen is 2 feet more than one-half the length,what are the length and width of the pen?
43. ### math

Suppose you want to build an outdoor rectangular pen enclosed by fencing for a pet. You want the pen to have an area of 64 square feet. Write and post one set of dimensions that could be used for the pen, along with the perimeter of the pen.
44. ### Calculus

A dog kennel with four pens is to be constructed. The pens will be surrounded by rectangular fence that costs \$13 per meter. The rectangle is partioned into four pens of equal size with three partitions made of fence that costs \$5 per meter. Each pen measures x meters wide by ...
45. ### Math

Clark's Country Pet Resort is fencing a new play area for dogs. The manager has purchased 186 yd of fence to enclose a rectangular pen. The area of the pen must be 2156 yds^2. What are the dimensions of the​ pen? Length is how many yards? Width is how many yards?
46. ### calculus

A dog kennel with four pens is to be constructed. The pens will be surrounded by rectangular fence that costs \$23 per meter. The rectangle is partioned into four pens of equal size with three partitions made of fence that costs \$12 per meter. Each pen measures x meters wide by...
47. ### Calculus

A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area is to be 2484ft^2. The exterior fence costs \$18.00 per foot and the interior fence costs \$16.50 per foot. Find the dimensions of the pen that will minimize the cost. What is ...
48. ### Math

A rancher is putting a fence around a square animal pen. The perimeter of the pen is 32 feet. The fence posts will be 16 inches apart. She starts by putting 1 fence post at each corner of the pen. How many fence posts does she use altogether? My solution is 32*12=384 and 384/...
49. ### MATH 115

1. find the rate 635ft./5 seconds= 2. complete the statement 82cm = mm 3. complete the statement 15g = kg 4. sabrina has the following math quiz scores 19, 24, 25, 17, 13, 18. find her mean score, to the nearest tenth if necessary. 5. eleven applications for a certain position...
50. ### math 115

1.eleven applications for a certain position had the following ages. 32, 33, 25, 36, 48, 51, 28, 23, 54, 52, 45. sort them out in ascending order. 23, 25, 32, 33, 36, 45, 48, 51, 54, I picked 33 for the middle number to get the median is it correct? 2.clay is building a pen ...
51. ### math

suppose you have 54 feet of fencing to enclose a rectangle dog pen . the function a= 27x- x^2 , where x = width , gives you the area of the dog pen in square feet . what width gives you the maximum area ? what is the maximum area ? round to the nearest tenth as necessary .
52. ### math

Trent wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Trent has 400 feet of fencing, what dimensions would maximize the area of the pen?
53. ### Calculus 2

A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area? I keep getting x=150 but I have been told that is not enough fencing. Can anyone help?
54. ### 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?
55. ### Algebra

A fence needs to be built around a field that is 100 feet long and 50 feet wide. A fence post will be placed in each corner of the field, and fence posts will be placed 10 feet apart around the entire field. Three fasteners are required to attach the fencing material to each ...
56. ### math

a dog owner has 200ft of fencing and wants to enclose the greatest possible rectangular area for her dog .what dimension should she use
57. ### algebra

A man wants to build a rectangular pen in which to keep his dog. If he uses one side of his barn, what is the maximum area that he can enclose with 80 meter of fencing?
58. ### Math

Manuel wants to build a rectangular pen for his animals. One side of the pen will be against the barn; the other three sides will be enclosed with wire fencing. If Manuel has 750 feet of fencing, what dimensions would maximize the area of the pen? a) Let w be the length of the...

a person plans to fence a pig pen with 100 meters of fencing. Derive a function that determines the area of the pig pen that can be enclosed by the fencing [A(w)] with respect to the pig pens width w. find the maximum area of the pig pen that can be enclosed by the fencing.
60. ### math

The total area of the dog park fence is 90 feet. The play pen is 6 by 10 in feet. How wide is the distance between the play pen and the fence?
61. ### math

a rectangular pen is divided into 6 rectangular strips by fences running parallel to the width of the pen. if 420m of fencing are available, determine the dimensions that give the maximum area possible.

A farmer has 120 feet of fencing available to build a rectangular pen for her pygmy goats. She wants to give them as much room as possible to run. What are the dimensions of the rectangular pen with the largest area?
63. ### calculus optimization problem

A farmer has 460 feet of fencing with which to enclose a rectangular grazing pen next to a barn. The farmer will use the barn as one side of the pen, and will use the fencing for the other three sides. find the dimension of the pen with the maximum area?
64. ### Algebra

Joe wants to fence a rectangular pen for his goats the length of the pen should be at least 60 ft. and the distance around should be no more than 260 ft. which system of inequalities and graph represent the possible dimensions of the pen? I truly need help on this, if you can...
65. ### Math7

poul has 124.8m of encing to build a rectangular pen. He wants the pen to have the largest possible area. Calculate the length and width of the pen to one decimal place. I don't get it at all
66. ### Calculus

A rancher wants to make an animal pen by fencing in an area of 2500000 square feet in a rectangular field and then divide it up with 5 fences down the middle parallel to one side. The rancher wants to use the shortest total length of fencing possible. If she accomplishes that...
67. ### math

a rectangular pen is to be constructed alongside a barn using 120 feet of fencing. the barn will be used for one side of the pen. What should the dimensions of the pen be to maximize its area. ***Can not use calculus. This is a 9th grade question
68. ### PreCalculus

Farmer Jill needs a new pen for her pet billy goats. She would like the pen to be rectangular and have an area of 30 square feet. Unfortunately for Farmer Jill, as the sun rises, the billy goats have developed the habit of running full speed at the sun; knocking the East side ...
69. ### math

miss guy is going to build a pen for her puppy. she has 50 feet of fencing to use. figure out some ways she can set up the pen and use all fencing. what are the dimension of the rectangular pen with the most space area for the puppy?
70. ### Is this correct? Algebra

9. Joe wants to fence a rectangular pen for his goats. the length of the pen should be at least 60 ft, and the distance around should be no more than 260 ft. Which system of inequalities and graph represent the possible dimensions of the pen? I want to know if I am correct... ...
71. ### math

Alexander is installing a pen for his dog. The pen will have the shape and dimensions of the figure shown to the right. How many feet feet of fencing are needed to enclose the area​ shown?
72. ### Calc.

A dog kennel owner needs to build a dog run (rectangular area) adjacent to a kennel cage (so that it is in the shape of a rectangle, but only three sides need to be built- one long side is already there). The short side walls of the run are to be cinder block (costs \$0.50 per ...
73. ### math

Howard has 102 feet of fencing. What is the area of the largest square dog pen he can build with the fencing?
74. ### Math

Derrick built a pen for his dog using one side of his house. He has 28 feet of fencing to use for the three sides of his fence. Make a table that uses the distances d away from the house as input and the length of the side opposite the house and the area as outputs. Have at ...
75. ### Calculus

A rancher wants to build a rectangular pen with an area of 150 m2. Let W be the width of the pen and L be the length of the pen. a. Find an equation for the perimeter P in terms of W and L . b. Use the given area to write an equation that relates W and L . c. Find the pen ...
76. ### Math

A dog kennel owner needs to build a dog run (rectangular area) adjacent to a kennel cage (so that it is in the shape of a rectangle, but only three sides need to be built- one long side is already there). The short side walls of the run are to be cinder block (costs \$0.50 per ...
77. ### 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 ...
78. ### math

A farmer will make a rectangular pen with 100 feet of fence using pasrt of his barn for one side of the pen. What is the largest area he can enclose?
79. ### algebra

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?
80. ### algebra

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?
81. ### Math: Pre-calculus

A rancher wants to build a rectangular pen with an area of 180 . Let W be the width of the pen and L be the length of the pen. a) Find an equation for the perimeter P in terms of W and L . b) Use the given area to write an equation that relates W and L . c) Find the pen ...
82. ### math

Bairleys rectangular dog pen for his irish setter must have an area of 400 square feet. Also the length must be 50 feet longer than the width. Find the dimentions of the pen
83. ### calculus?

I want a rectanglular pen with area = 50 square feet and to save on fencing I will build it next to the garage. How should I design it so I use the least amount of fence-only 3 sides will be needed next to the garage. How can I figure out that I have found the maximum area for...
84. ### Help please? Math 141 (Pre-Cal) (Shapes)

Hi everyone I am lost on how to do this math problem: A. You have 180 feet of fencing with which to construct a rectangular pen. What is the maximum area you can enclose? B. Going back to part A, you decide to build your rectangular pen next to a large barn. (Assume the barn ...
85. ### math

A rectangular animal pen will be built using 200 meters of fencing. If one side of the rectangle is meters, find the area of then pen.
86. ### precalculus

A farmer needs to build a rectangular pen that is 800 square feet and has two bays. What equation can he use to minimize the cost of the fence and what are the dimensions of the pen?
87. ### algebra

I want to fence a rectangular garden which measures 33 by 24 feet. If the fencing I want costs \$4.50 per yard, how much will it cost me for the fencing if I want to leave a two foot opening for a gate? (I cannot buy fencing of less than one full yard.)
88. ### Math

There is a long fence along the border of 2 mens property. 1 man is using the existing fence to make a cattle pen. He has 500 ft of fencing. Suppose the pen extends x ft away from the existing fence along the border. Find an expression for the area in terms of x.
89. ### math

describe the largest pen area possible using the same amount of fencing in 6'X14' area. How do the perimeter and area compare to the pen above?
90. ### Math

Jennifer plans to fence a rectangular area around her rectangular swimming pool. The total area enclosed by the fence, including the pool, should be 5 times the area of the pool alone. The pool is 20 feet by 17 feet. A.)What is the total area enclosed by the fence? B.) fencing...
91. ### Pre-Calc

A farmer is making a pig pen next to the barn. He has enough materials to build 50 feet of fencing. a)what is the largest area he can fence in? b)what are the dimensions of the pen with the largest area?
92. ### math

A farmer is constructing a rectangular pen with one addtional fence across its width.find the maximum area that can be enclosed with 2400m of fencing .
93. ### math

a farmer wants to build a rectangular pen using a side of a barn and 60ft of fence. find the dimensions and area of the largest such pen
94. ### 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.
95. ### Algebra

A rectangular dog pen has a perimeter of 10 yd and a width of 2yd. What is its area?
96. ### math

Mr Shah has been involved in a sheep farming business for several years and he supplies meats and milk products to the communities. He wishes to build a rectangular sheep pen with two parallel partitions using 200 meters fence. Find the dimensions of the rectangle that will ...
97. ### calculus

Farmer Jones has 210 meters of fence. She wishes to construct a rectangular pen using the river as one side and dividing the pen into six separate rectangular pens as shown. What should the dimensions of the combined pens be to maximize the area enclosed? 7 vertical and one ...
98. ### Math

A farmer wants to create a rectangular pen in order to raise chickens. Because of the location of the pen, the fence on the north and south sides of the rectangle will cost \$5 per metre to construct whereas the fence on the east and west sides will cost \$20 per metre. If the ...
99. ### calculus

a farmer has a 1500 feet of fencing in his barn.he wishes to enclose a rectangler pen,subdivided in two regions by a section of the fence down the middle,parallel to one side of the rectangle.express the area enclosed by the pen as a function of its width x.what is the domain ...
100. ### math-Polya

What is the largest rectangular chicken pen (enclosure) that a farmer can construct (fence) if he/she is providing with a wire fencing of 20 metres? The farmer is expected to use only full metres for the sides. 1. Use Polya to solve problem (8) 2. Use three representations(...