# 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?

45,017 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. ## 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
3. ## 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
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
5. ## 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
6. ## 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
7. ## 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
8. ## 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.
9. ## 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
10. ## 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
11. ## 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
12. ## 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.
13. ## 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?
14. ## 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?
15. ## 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?
16. ## 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!
17. ## Geometry

A farmer has 52 meters of fencing to make a rectangular corral. If the width is x, what is the length and area?
18. ## 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
19. ## 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
20. ## 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
21. ## 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?
22. ## 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?
23. ## 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?
24. ## 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
25. ## 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?
26. ## math help please

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
27. ## 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?
28. ## 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
29. ## 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?
30. ## 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
31. ## 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,
32. ## 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?
33. ## 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
34. ## 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
35. ## 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
36. ## math

Farmer has 100yd by 60yd fence around his barnyard. How many yards of fence is needed to replace it?
37. ## 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.
38. ## 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?
39. ## 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
40. ## 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?
41. ## 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
42. ## 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?
43. ## 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
44. ## 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
45. ## Math (Quadratic Equations)

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
46. ## 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)
47. ## 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
48. ## 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
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
50. ## 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.
51. ## 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.
52. ## 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.
53. ## 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 ?
54. ## 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?
55. ## 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.
56. ## 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
57. ## 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
58. ## 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?
59. ## area and perimeter

a farmer wishes to build a fence around a rectangular field and divide it into two equal parts as well.the dividing fence must be parallel to one of the side of the field. you are asked to find dimension of the field of maximum area that you can fence and
60. ## intermediate algebra

A farmer with 3000 feet of fencing 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?
61. ## math

A farmer with 2000 meters of fencing 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?
62. ## 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?
63. ## 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
64. ## Geomtry

A farmer has 1000 meters barbed wire with which he is to fence off three sides of a rectangular field, the fourth side being bounded by a straight canal. how can the farmer enclose the largest field?
65. ## Math

rectangular area for cattle and uses a straight portion of a river as one side of the​ rectangle, as illustrated in the figure. Note that there is no fence along the river. If the farmer has 16001600 feet of​ fence, find the dimensions for the
66. ## 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
67. ## 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?
68. ## calc

A farmer intends to fence o a rectangular pen for his pig Wilbur, using the barn as one of the sides. If the enclosed area is to be 50 square feet, what is smallest amount of fence needed, in feet?
69. ## yetf8edfueidcyt87e

a farmer wishes to fence off a rectangular field with 1,000 feet of fencing.if the long side of the field is along a stream, express the area of the field as a function of its width
70. ## 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
71. ## 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
72. ## College Cal 1

A farmer wants to fence off a rectangular field of area 15000 square feet using barbed wire fencing. SInce the opposite of the road is a corn-field, he wants a two-strand fence along the road, and one strand on each of the other three sides. What are the
73. ## Math

A farmer has 2,400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write the function that will produce the largest area if x is the short side of the rectangle.
74. ## math - please check me

Identify the amount in the following application In a shipment if 1200 parts, 60 were found to be detective. What percent of the parts were faulty? a. 60 b. 1200 c. what percent d. shipment answer: c Write the following in the standard form of a number.
75. ## math

A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 75 per foot and the fence for the other two sides will cost 30 per foot. The farmer has a total of 1750 dollars to spend on the project. Find the
76. ## math

A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 75 per foot and the fence for the other two sides will cost 30 per foot. The farmer has a total of 1750 dollars to spend on the project. Find the
77. ## 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
78. ## math

Farmer Hodges has 50 feet of fencing to make a rectangular hog pen beside a very large barn. He needs to fence only three sides because the barn will form the fourth side. Studies have shown that under those conditions the side parallel to the barn should
79. ## Geometry

Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around the garden? I put No, because she only has 11 5/12 of fence when 22 yards of fence is needed. Please give your opinion about my
80. ## 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
81. ## 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
82. ## mathes

a farmer wants to make a rectangular pasture with 80000 squre meters. if the pasture lies along a river and he feneces the remaning three sides,what dimension shoud he use to minimize the amount fence needed
83. ## MATH grade 10

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
84. ## Pre Calculus

A contractor is to fence off a rectangular field along a straight river, the side along the river requiring no fence. What is the least amount of fencing needed to fence of 30,000 meters squared?
85. ## 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.
86. ## College Algebra

A farmer has 100 yeards 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 (a rectangle) be in order to yield
87. ## Math

A farmer has 230 ft of fence to enclose a rectangular garden. What is the largest garden area that can be enclosed with the 230 ft of fence? Explain your work.
88. ## 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
89. ## Calc.

Please help solve this, A farmer has 600m of fence and wants to enclose a rectangular field beside a river. Determine the dimensions of the fence field in which the maximum area is enclosed. (Fencing s required on only three sides: those that aren't next
90. ## 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?
91. ## 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?
92. ## 5th Grade Math

A farmer has a rectangular field that is 48 by 36, he wants to fence 16 small pens, how much fencing does he need?
93. ## Algebra

A farmer has 230 ft of fence to enclose a rectangular garden. What is the largest garden area that can be enclosed with the 230 ft of fence?
94. ## 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 80 ft of fence? what should the dimensions of the garden be to give this area. The maximum
95. ## Algebra

Peter buys 84 yards of fence to make a play area for his puppy. He wants the area to be 28 yards long. What is the area of the play area if he uses the entire fence he bought?
96. ## math

a farmer has 200 yards of fencing to enclose three sides of a rectangular piece of property that lies next to a river. the river will serve as the fourth side. find the dimensions of property if the area is 3200 yards^2
97. ## Math

A farmer is fencing a rectangular area for his farm using the straight portion of a river as one side of the rectangle. If the farmer has 2400 ft of fence, find the dimension of the rectangle that gives the maximum area for the farm
98. ## math

A rancher with 7000 yds of fencing wants to enclose a rectangular field that borders a straight highway and then wants to devide it into two plots with a fence parellel to the highway. If no fence is needed along the highway, what is the largest area that
99. ## Math

A farmer uses 1034 meters of fencing to enclose a rectangular region and also to subdivide the region into three smaller rectangular regions by placing a fence parallel to one of the sides. Find the demensions that produce the greatest enclosed area.
100. ## Math&#129299;

A farmer wants to make a fence that is 32 ft. By 40 ft. If he wants to put up a fence post every 4 feet how many posts will he need? I got 18 because 40 divided by 4 is 10 and 32 divided by 4 is 8 then I added 10 and 8 and got the answer of 18