# A farmer has 1,000 yards of fence to use to make a rectangular corral. Let x be the length of the corral. Why does A(x)=x(500-x) represent this situation?

69,770 results

1. ### Math

A farmer has 1,000 yards of fence to use to make a rectangular corral. Let x be the length of the corral. Why does A(x)=x(500-x) represent this situation? Where did the 500 come from?
2. ### College Algebra

A farmer needs to build a rectangular corral for his animals. He has 200 yards of fencing available. He needs to make 4 pens. What is the largest corral he can create? (Remember the pens also count as a part of the perimeter, not just the outside of the corral)
3. ### area and perimet

Farmer Brown has 700 yards of fencing with which to build a rectangular corral divided into two pens. He builds a corral that uses the river as one side so he only has to fence the other 3 sides and the divider down the middle
4. ### cal

a rancher has 4000 feet of fencing for constructing a rectangular corral. one side of the corral will be formed by a barn and requires no fence. three exterior fences and 2 interior fences partition the corral into 3 rectangular regions. what dimension of the corral maximize ...
5. ### Pre calc- confused

Geometry/Maximum area: A rancher wants to enlarge an existing rectangular corral such that the total area of the new corral is 1.5 times that of the original corral. The current corral's dimensions are 250 feet by 160 feet. The rancher wants to increase each dimension by the ...
6. ### pre calculus

A farmer will be adding a rectangular corral to his barn. He has 600 feet of fencing. The part of the barn that is attached to the corral is 150 feet long. Write a function for the area of the corral, A(x) and include the domain Find the answers for both 'x' and 's'
7. ### 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?
8. ### Math

A farmer has 400 feet of fencing with which to build a rectangular corral having two internal dividers both parallel to two of the sides of the corral. What is the maximum total area of such a corral? I know how to maximize area, but this problem is confusing me because of the...
9. ### Algebra

A farmer has 260 feet of fencing to make a rectangular corral. What dimensions will make a corral with the maximum area? What is the maximum area possible? Thanks.
10. ### Math / Algebra Word Problem

The Parkhursts used 160 yd of fencing to enclose a rectangular corral and to divide it into two parts by a fence parrallel to one of the shorter sides. Find the dimensions of the corral if its area is 1000 yd^2 Thank you!
11. ### Precalculus

I have a diagram that has 4 rectangular corrals joined together and a barn above it. Fencing is not needed along the back wall of the barn. The perimeter is 200 ft and the question asks... If each corral is 16 ft. long (front to back) how wide will each corral be and what will...
12. ### Geometry

A farmer has 52 meters of fencing to make a rectangular corral. If the width is x, what is the length and area?
13. ### MATH problem help had typo

The Parkhursts used 160 yd of fencing to enclose a rectangular corral to divide it into two parts by a fence parallel to one of the shorter sides. Find the dimensions of the corral if its area is 1000 yd ^2 ( yd has a small 2 above the d) SO CONFUSED NEED TO SHOW STEPS
14. ### MATH HELP NEEDED

Sarah has a rectangular corral for her horses. She wants to put new rail fencing all around the corral. What total lenght of fencing will she need. Description of the corral: in my book it is square and around the square is a length of 28m and inside the square if you go ...

I had 12 of these problems got through all but the last one. I need to show the steps The Parkhursts used 160 yd of fencing to enclose a rectangular corral to divide it into two paths by a fence parallel to one of the shorter sides. Find the dimensions of the corral if its ...
16. ### Math, for Elina

Repost: Sarah has a rectangular corral for her horses. She wants to put new rail fencing all around the corral. What total lenght of fencing will she need. Description of the corral: in my book it is square and around the square is a length of 28m and inside the square if you ...

please help me, please. a farmer is building a circular corral to hold a live stock. with distances measured in metres, the shape of the corral is modelled by the equation x squared plus y squared equals 64. find length reqiured for the fencing of the correl? i don't get how ...
18. ### Precalculus

A barn has 150 feet of fencing and there are 3 rectangular corrals of identical dimensions along the back wall of the barn. The sides of each corral are attached to the barn and fencing is not needed along the back wall of the barn. If each corral is 30 ft. long (front to back...
19. ### grade 9 mathimathic optimizing

i am lost completly i don't know what to do. please help me!!!! a farmer is adding a rectangle corral to the side of a barn. the barn will form one side og the rectangle . the farmer has 16 m of fencing to use. conduct an investigation to determine the dimension of the corral ...
20. ### Algebra

A rancher wishes to enclose a rectangular partitioned corral with 1932 feet of fencing. What dimensions of the corral would enclose the largest possible area?
21. ### College Algebra

A rancher wishes to enclose a rectangular partitioned corral with 1932 feet of fencing. What dimensions of the corral would enclose the largest possible area? Find the maxium area.
22. ### Geometry

A horse breeder wants to construct a corral next to a horse barn that is L=16 feet long, using the barn as part of one side of the corral as shown in the figure above. The breeder has 280 feet of fencing available. Find the value of x which maximizes the amount of area the ...
23. ### Math

i am working with completing the square in parabolas and there's this word problem i just cannot solve..a farmer wants to make a rectangular corral along the side of a large barn and has enough materials for 60m of fencing. Only 3 sides must be fenced, since the barn wall will...

Diagram has 4 rectangular corrals with a barn above it. Sides (front to back) are attached to the barn. Fencing is not needed along the back of the barn. P= 200 ft of fencing If each corral is 16 ft long (front to back), how wide will each corral be, what will be the area of ...
25. ### 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...
26. ### Algebra

The back of Alishaâ€™s property is a creek. Alisha would like to enclosure a rectangular area, using the creek as one side and fencing for the other threee sides, to create a corral. If there is 180 feet of fencing available, what is the maximum possible area of the corral?
27. ### Calculus

Some cowboys plan to build a rectangular corral in a canyon. They have 500 feet of fencing to use for three sides of the rectangle (the canyon wall is used for the 4th side). a) What is the maximum area that they can fence in? b) What are the dimensions of the rectangle?
28. ### algebra2

A farmer has 600 yards of fence. He will use some of the fence to enclose a rectangular area. He will use the rest divide the area into two congruent rectangles. What is the value of x that results in largest area? What is the largest area that the farmer can enclose? What are...
29. ### calculus

Suppose that 404 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area. x=........ft Y=......ft
30. ### Algebra

The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 100 feet of fencing available, what is the maximum possible area of the corral? ? square feet ?
31. ### 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 rectangular area?
32. ### Precalculus

I usually know how to do these types of problems, but the second variable just threw me off balance.. 47. A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce a maximum enclosed area? (the diagram is of two adjacent ...
33. ### Precalculus

A barn has 150 feet of fencing and there are 3 rectangular corrals of identical dimensions along the back wall of the barn. The sides of each corral are attached to the barn and fencing is not needed along the back wall of the barn. If each corral is 30 ft. long (front to back...
34. ### Precalculus

The owner of a horse stable wishes to set up 4 rectangular corrals of identical dimensions along the back wall of an existing barn using 200 ft of fencing. The sides of each corral will be attached to the barn, fencing is not needed along the back wall. Find the function that ...
35. ### 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 rectangular area? yd(...
36. ### 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 ...
37. ### math

A farmer is installing a fence. The coordinates of the vertices of the fence are A(2,2), B(2,6), C(8,6), D(8,2). If each grid square has length of 9 yards, how much wire is needed for the fence?
38. ### Math

Suppose that 600 meters of fencing are used to enclose a corral in the shape of a rectangle on three sides, and then a semicircle on the fourth side (The diameter of the semicircle is equal to the width of the rectangle). Find the dimensions of the corral with maximum area.
39. ### CALC HARD...

Suppose that 430 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the figure below, the blue outline represents the fencing.) Find the dimensions of the corral with maximum area. x= y=
40. ### 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 ...
41. ### COLLEGE ALGREBRA

A horse breeder wants to construct a corral next to a horse barn that is L=20 feet long, using the barn as part of one side of the corral as shown in the figure above. The breeder has 320 feet of fencing available.
42. ### calculus

Suppose that 430 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the figure below, the blue outline represents the fencing.) Find the dimensions of the corral with maximum area. x=? y=? i ...
43. ### 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?
44. ### 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?
45. ### CALC HARD...

Suppose that 430 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the figure below, the blue outline represents the fencing.) Find the dimensions of the corral with maximum area. x=? y=? i ...
46. ### CALC HARD...

Suppose that 430 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the figure below, the blue outline represents the fencing.) Find the dimensions of the corral with maximum area. x=? y=? i ...
47. ### College Algebra

Find the dimensions of the rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 300 feet of fencing. (Assume that the length is greater than or equal to the width.)
48. ### College Algebra

A farmer wants to build a rectangular fence using the side of his barn as one side. He has 200 yards of fencing available. Find the maximum possible area he can enclose with the fence.
49. ### 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...
50. ### Math

A farmer has \$2400 to spend to fence two rectangular pastures.The local contractor will build the fence at a cost of \$6.25/m. What is the largest area that the farmer can have fenced for that price?
51. ### Algebra - Math

A farmer has 100 yards of fencing with which to enclose two adjacent rectangular pens - both bordering a river. The farmer does not need to fence the side with the river. What should the dimensions of the two pens Together (rectangle shape) be in order to yield the largest ...
52. ### college

suppose that you have 800ft of fencing. you are to construct a rectangular corral which is divided into two pieces. what are the dimensions that give the largest possible areas?
53. ### Algerbra

Need help, Farmer Billybob is building a fence to keep his prize goats. He wants to make the legth twicw as large as the width. Now, he has 42 yards of fencing to use. What are the dimensions of the fence for his goats?
54. ### algebra

A farmer wishes to fence in 3 different breeds of animals in a rectangular area and keep all the breeds in separate areas. If the farmer has 144 feet of fence what is the maximum area he can fence in? Type in your answer to the nearest whole number
55. ### calculus

if a farmer has 100 feet of fence and wants to make a rectangular pigpen, one side of which is along existing straight fence.What dimensions should be used in order to maximize the area of the pen?
56. ### College Math

farmer wishes to fence a rectangular area along the river bank. No fence is required on the side adjacent to the river. The material for the fence costs P16.00 per meter for the side parallel to the river, P12.00 per meter for the side perpendicular to the river. The farmer ...
57. ### 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?
58. ### calculus

a farmer wishes to fence off a rectangular plot of land, using an existing wall as one of the sides . the total are enclosed must be 600 square yards. the fence on the side parallel to the wall will cost 20\$ per yard, while the fences on the other side will cost 30\$ per yard. ...
59. ### MATH

A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 50 per foot and the fence for the other two sides will cost20 per foot. The farmer has a total of 2000 dollars to spend on the project. Find the dimensions for the ...
60. ### chs

A farmer has a rectangular field with a length of 30 yards and width of x yards. If the perimeter is the sum of all four sides of the field, what is an expression for the perimeter of the field, in yards? Simplify
61. ### calculus

A farmer wants to construct a fence around a rectangular field. Sides with neighbours need reinforced fencing that costs \$8 per meter. The other sides use regular fencing that costs \$4 per meter. Assuming the farmer has neighbours on the east and west sides, answer the ...
62. ### Calculus 1 optimization

A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence? ft (...
63. ### math

Farmer has 100yd by 60yd fence around his barnyard. How many yards of fence is needed to replace it?
64. ### Math

Suppose you have 36 yards of fencing to build a fence around a rectangular backyard garden. The width is 18 yards less than twice the length. Find the length and width of this garden.
65. ### physics

A mass with an initial combined potential energy and kinetic energy of 10,000 joules is dropped onto a fence post to drive it into the ground. The post is driven 0.25 meters into the ground before it comes to rest with the mass sitting on top of the post. How much work was ...
66. ### Math

Mr.Anders wants to put a fence around his back yard.his backyard is rectangular. The lengths of the sides are 75 yards,45 yards,75 yards,and 45 yards.How much fencing will Mr.Anders need?
67. ### math

Tom built a fence around his rectangular shaped pool. The posts are 2 yards apart, there are 4 posts along the width and 8 posts along the length. What are the dimensions of the fence?
68. ### College Algebra

A gardener wants to fence in her plot in two equal rectangular sections. If she has 120 yards of fence and the area of the entire plot is 384 yd 2, find the possible dimensions in yards of the garden.
69. ### 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(...
70. ### Algebra

Farmer Ed has 9,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the largest area that can be​ enclosed?
71. ### algebra

Farmer Ed has 9 comma 0009,000 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the​ river, what is the largest area that can be​ enclosed?
72. ### Algebra

A homeowner wants to enclose a rectangular piece of land beside a river. He must put a fence on 3 sides of the field (the river forms the fourth side). The field has length L (which runs parallel to the river) and width W. The homeowner has 200 yards of fencing material. What ...
73. ### history

1. near what Texas city is this archeological dig? 2. Ruins of a farm owned by what former slave were discovered by archeologists 3. how many children did ransom and Sarah Williams raise on there farm? i think three. 4. in what year were slaves freed in Texas? 1865 i think. 5...
74. ### math

Grandpa wants to make a rectangular chicken run. If he bought 12 yards of fence wiring. What is the largest area that he can make?
75. ### Math

I have a 3 part question that I have the answers for but I am still having issues understanding it. Looking for help with the explanation / steps on how you would get the answer. Question 1) The width of a rectangular field is 3h yards and it's length is 3 yards longer than ...
76. ### Algebra 2

2. a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rectangular piece of ground that is as large as possible. the land is bordered by water on two sides. There are three options for the farmer Option 1) have two sides ...
77. ### math

the melt in your mouth chocolate factory is a rectangular building. the distance across the front of the store is 28 yards. the distance from the front to the back of the building is 12 yards. if the owners want to put up a fence around the outside of the factory. how many ...
78. ### Math

A farmer needs to build a fence to enclose a square plot of land with an area of 200 square yards. To the nearest tenth of a yard, how much fencing does the farmer need?
79. ### Algebra

John wants to build a corral next to his barn. He has 300 feet of fencing to enclose three sides of his rectangular yard. a. What is the largest area that can be enclosed? b. What dimensions will result in the largest yard?
80. ### Math

John wants to build a corral next to his barn.He has 300 feet of fencing to enclose three sides of his rectangular yard. a. What is the largest area that can be enclosed? b. What dimensions will result in the largest yard?
81. ### Algebra 2

a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rectangular piece of ground that is as large as possible. the land is bordered by water on two sides. There are three options for the farmer Option 1) have two sides ...

A field is bound on one side by a river. A farmer wants to enclose the other three sides of the field with fence in order to create a rectangular plot of land for his cows. If the farmer has 400m of fence to work with, determine the maximum possible area of the field and the ...
83. ### Math

A gardener wants to fence the largest possible rectangular area using 200 yards of fencing. Find the best length and width of the garden.
84. ### Year 10 Algebra

A farmer is building a rectangular garden bed next to a river and has 8 metres worth of fence line to fence it off. I understand that the equation of this would be: A = w(8 - 2w) However, I am unsure what to do next
85. ### math

Mr. Anders wants to put a fence around his backyard. His backyard is rectangular. The lengths of the sides are 75 yards , 45 yards, 75 yards, and 45 yards. How much fencing will Mr. Anders need ?
86. ### math

Flor is putting a fence around a field. The field is rectangular and measures 9.38 yards (yd) long and 14.74 yd wide. How much fence must Flor purchase? A rectangular field has 4 sides. Two of the sides are each 9.38 yards long. The other two sides are 14.74 yards long. The ...
87. ### Math

A man uses 60m of fencing to make 3sides of a rectangular fence,the fourth being the wall,if the area enclosed is 448m^2 .Find the possible length of the sides of the fence.
88. ### 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?
89. ### Math

A farmer has determined that a crop of strawberries yields a yearly profit of \$1.50 per square yard. If strawberries are planted on a triangular piece of land whose sides are 50 yards, 75 yards, and 100 yards, how much profit, to the nearest hundred dollars, would the farmer ...
90. ### math

A farmer has 110 metres of fencing to fence off a rectangular area. Part of one side is a wall of length 15m. Find the dimensions of the ﬁeld that give the maximum area. Answers: length and width = 31,25m Thank you so much for a huge help.
91. ### Calculus

The Regional Farm Bureau (RFB) is preparing a brochure that offers advice about constructing pens for small farm animals, and they want us to be their consultants. They need us to carefully analyze the following situations and provide a detailed report. Then they will use our ...
92. ### Calculus

The Regional Farm Bureau (RFB) is preparing a brochure that offers advice about constructing pens for small farm animals, and they want us to be their consultants. They need us to carefully analyze the following situations and provide a detailed report. Then they will use our ...
93. ### yeah

a farmer wants to fence in three sides of a rectangular field with 1,000 feet of fencing. the other side of the rectangle will be a river. find the dimensions of the field.
94. ### math

a farmer with 10,000 meters of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel to one of the sides. What is the largest area that can be enclose?
95. ### 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.
96. ### math

a farmer can afford 8000 square meters of fence and would like to come up with the best way to use this fence, such that: - he wants all the pens to be of the same rectangular shape. - he wants to give each calce of his farm as much space as possible. - he needs an easy access...
97. ### Math

Mrs. Dalton wanted to purchase a new fence to put around the Danish playground . The playground has a length of 25 yards and a width of 30 yards. How much fence does she need to purchase?
98. ### math

A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 2400 ft2. 2.A rectangular garden is 2 ft longer than it is wide. Its area is 783 ft2. What are its dimensions?
99. ### Math

A farmer with 8000 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? Does that mean I have to consider it a triangle?
100. ### intermediate algebra

A farmer with 3000 feet wants to enclose a rectangular plot that borders on a straight highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?