# A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side,

36,578 results
1. ## Calculus

A farmer has 1500 feet of fencing in his barn. He wishes to enclose a rectangular pen. Subdivided into two regions by a section of fence down the middle, parallel to one side of the rectangle. Express the area enclosed by the pen as a function of its width

2. ## 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

3. ## 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?

4. ## math

An ostrich farmer wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. There are 720 feet of fencing available to complete the job. What is the largest possible total area of the 4 pens?

5. ## 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?

6. ## math

A farmer has 90 meters of fencing and would like to use the fencing to create a rectangular garden where one of the sides of the garden is against the side of a barn. Let L represent the varying length of the rectangular garden (in meters) and let A

7. ## Math

A farmer has 80 feet of fencing, which she plans to use to fence in a plot of land for a pigpen. If she chooses to enclose a plot along the broad side of her barn, what is the largest area that can be enclosed? (Note: The side along the barn will not

8. ## algebra

a local grocery store has plans to construct a rectangular parking lot that is bordered on one side by a highway. there are 1280 feet of fencing avaliable to enclose the other three sides. find the dimensions that will maximize the area of the parking lot.

9. ## Algebra 1

1)A farmer plans to create a rectangular garden that he will enclose with chicken wire. The garden can be no more than 30 ft wide. The farmer would like to use at most 180 ft. of chicken wire. Write a system of linear inequalities that models this

10. ## Math(Reiny Please Help)

Lacy has \$600 set aside to build a rectangular exercise kennel for her dogs. She will buy fencing material for \$15/ft. Because the side of an existing barn will be used for one of the sides of the kennel, only three sides need to be fenced. A.) Determine

11. ## MATH

A kennel owner has 164 ft of fencing to enclose a rectangular region. He wants to subdivide it into 3 sections of equal length. If the total area of the enclosed region is 576 square ft what are the dimensions. I know that the answer is 18 ft by 32 ft or

12. ## 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?

13. ## 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?

14. ## math

a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rect angular 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)

15. ## 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?

16. ## Math

A farmer plans to enclose a rectangular pasture adjacent to a river. (see figure). The pasture must contain 320,000 square meters in order to provide enough grass for the herd. What dimensions will require the least amount of fencing if no fencing is

17. ## Math

A pig farmer wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 940 feet of fencing available to complete the job. What is the largest possible total

18. ## College Calculus

A light is on the ground 20m from a barn. A 2m tall llama walks from the light directly toward the side of the barn at 1m/s. How fast is the height of the llama's shadow on the barn changing when he's 14m from the barn? (draw and label a nice diagram

19. ## 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

20. ## Math

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

21. ## Algebra 2

A farmer has 120 ft. of fencing available to enclose 2 adjacent rectangular pens alongside his barn. NO fencing is required along the bard side. He needs to have a total of 930 sq.ft. Determine the width (x) and the combined length of the pens. There are

22. ## 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.

23. ## 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

24. ## 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?

25. ## 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

26. ## 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

27. ## word problem

a farmer has 800 yards of fencing to enclose a rectangular pasture. Since one side of the pasture boarders a river that side does not need to be fenced. if the side perpendicular to the river must be twice as long as the side parallel to the river, what

28. ## 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?

29. ## Math(HELP!)

A farmer has 120 feet of fencing to enclose a rectangular plot for some of his animals. One side of the area borders on a barn. a.) If the farmer does not fence the side along the barn, find the length and width of the plot that will maximize the area? b.)

30. ## 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

31. ## 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 this given area? The maximum

32. ## 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

33. ## Algebra

SOlve you have 78 feet of fencing to enclose a rectangular pasture by a barn. If you do not fence the side along the barn, find the length and width of the lot that will maximize the area

34. ## 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

35. ## Calculus

Damon, Help :) A rancher plans to set aside a rectangular region of one square kilometer for cattle and wishes to build a wooden fence to enclose the region. Since one side of the region will run along the road, the rancher decides to use a better quality

36. ## calculus 1

Mr. Smith would like to enclose a rectangular field that has an area of 1000 square feet. What is the minimum amount of fencing he will need if he only needs to use it on 3 sides since he can use the side of the barn for the fourth side.

37. ## 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?

38. ## 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?

39. ## 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)

40. ## 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

41. ## Math, Gr 10

A rectangular field is to be enclose by 800 meters of fencing and the fourth side with be along the side of a barn. A) What dimensions will give the maximum area? B) What is the maximum area?

42. ## 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

43. ## 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

44. ## 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

45. ## Math

A farmer wishes to enclose a rectangular region with 196 meters of fencing in such a way that the length is twice the width and that the region is divided along its length into two equal parts. What is the length and width in meters?

46. ## math

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

47. ## 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

48. ## 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

49. ## 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

50. ## Calculus

A pig farmer wants to enclose a rectangular area and then divide it into six pens with fencing parallel to one side of the rectangle (see the figure below). There are 610 feet of fencing available to complete the job. What is the largest possible total

51. ## Math

A farmer has 450m of fencing to enclose a rectangular area and divide it into two sections. a) Write an equation to express the total area enclosed as a function of the width. b) Determine the doman and range of this area function. c) Determine the

52. ## Math2

Lacy has \$600 set aside to build a rectangular exercise kennel for her dogs. She will buy fencing material for \$15/ft. Because the side of an existing barn will be used for one of the sides of the kennel, only three sides need to be fenced. A.) Determine

53. ## math

A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 512 ft2, how many

54. ## Algebra

A farmer plans to enclose a rectangular region using part of his barn for one side and fencing for remaining sides. The area of the region is maximized when the width is 30 feet. a.) write an equation that could model the area as a function of the width.

55. ## Math

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 80ft of fence? 800 sq ft? What should the dimensions of the garden be to give this area? 40ft

56. ## word problem

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 feet of fence? What should the dimensions of the garden be to give the area?

57. ## Pre calc

A farmer with 2000 meters of fencing wants to enclose a rectangular field that borders a barn. If the farner does not fence the side along the barn, what is the largest area that can be enclosed?

58. ## Math

Farmer wants to enclose a rectangular area that is 600 sq. ft. He is using his barn for one of the sides. The barn is 30 feet long and he does not want the pen to extend longer than the barn. How much fencing will need to be purchased?

59. ## Algbera

Afarmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. Wht 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.

60. ## geometry

A farmer has 30yd of fencing and wants to enclose an area beside his barn. What are the dimensions of the region of maximal area, and what is that maximal area if the region is an is isosceles triangle with its base along side of the barn. Given -> legs of

61. ## 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.

62. ## 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,

63. ## 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?

64. ## 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

65. ## Calculus

A rancher plans to set aside a rectangular region of one square kilometer for cattle and wishes to build a wooden fence to enclose the region. Since one side of the region will run along the road, the rancher decides to use a better quality wood for that

66. ## 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.

67. ## 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

68. ## 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

69. ## calculus

Damon help again :) (last one I promise) why is X along the road sqrt2/2? ] A rancher plans to set aside a rectangular region of one square kilometer for cattle and wishes to build a wooden fence to enclose the region. Since one side of the region will run

70. ## 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

71. ## 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?

72. ## 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?

73. ## 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?

74. ## 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

75. ## math

a farmer is building a fence around his yard. one side of the fence will be the side of his barn , the other three sides will be made of wood. He has enough materials for 120m of fence, what is the maximum area he can enclose ? what are the dimensions

76. ## math

a farmer is building a fence around his yard. one side of the fence will be the side of his barn , the other three sides will be made of wood. He has enough materials for 120m of fence, what is the maximum area he can enclose ? what are the dimensions

77. ## 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

78. ## math

a farmer wishes to enclose a rectangular region with 210 meters of fencing in such a way that the length is twice the width and the region is divided into two equal parts. what length and width should be used?

79. ## Algebra

a farmer wants to enclose a rectangle garden using the sides of her barn as one side of the rectangle. what is the maximum area which she can enclose with 60ft of fence? what should the dimensions of the garden be to give this area? Max area which she can

80. ## Geometry

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

81. ## algebra

a rancher has 310 feet of fencing with which to enclose two rectangular corrals, both of the same size. the two corrals will share one side, and a barn forms one side of both corrals. suppose the width of each corral is X feet. express the total area of

82. ## math

a rectangular garden with an area of 2112 square feet is to be located next to a barn with fencing on three sides and the barn acting as the fourth side.Write a function that gives the length of fencing needed if the length of the side parallel to the barn

83. ## Algebra 2

A retail lumberyard plans to store lumber in a rectangular region adjoining the sales office. The region will be fenced on three sides and the fourth side will be bounded by the wall of the office. Find the dimensions of the region if 350 feet of fencing

84. ## 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?

85. ## Algebra 2

A farmer wants to enclose 2 adjacent rectangular regions next to a river. No fencing will be used next to the river. 60 meters of fencing will be used. What is the area of the largest region that can be enclosed. I need all of the steps to get to the

86. ## Algebra 2

a farmer has 400 meters of fence with which to enclose a portion of land. the farmer wants to enclose a rect angular 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)

87. ## 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

88. ## Pre-Calculus

Tommy is building a rectangular playpen for his pigs where one side of the play area is a side of his barn. He has enough material to make a fence with a total length of 160 feet. write a función that represents the playpen's área in terms of its length

89. ## math

A farmer wants to make a rectangular pen for his chickens. He has 1200 m of fencing. He will use one side of his barn for the pen. What dimensions will give the maximum area? What is the maximum area?

90. ## Mathematics

I am studying for my exams and do not know if I tackled correctly this word problem. Would appreciate any help. Thank you "Tony and Doris wish to fence off part of their garden to create a rectangular enclosure for their dogs. One side of the enclosure

91. ## Calc 1

A farmer with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

92. ## 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

93. ## Calculus

A ostrich farmer wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). He has 820 feet of fencing available to complete the job. What is the largest possible total

94. ## calculus

A farmer has 100 m of fencing to make a rectangular pen with 3 congruent rectangular subdivision side by side. Each subdivisions must be 3 meter wide and at least 8 meters long. What is the range of the possible length of it's division?

95. ## Math

The owner of the Rancho Grande has 3028 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area he can

96. ## Math

The owner of the Rancho Grande has 3028 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area he can

97. ## Pre-Calculus

An indoor physical fitness room consists of a rectangular region with a semicircle on each end. The perimeter of the room is to be a 200-meter running track. a) Draw a figure that visually represents the problem. Let x and y represent the length and width

98. ## Calculus

a farmer has 160 ft of fence and wants a pen to adjoin to the whole side of the 130 ft barn. what should the dimensions be for maximum area?

99. ## math

A rectangular sheet of metal, of area 440 sq.cm is folded into a cylinder, to enclose a volume of 1540 cu.cm. A circle whose diameter is equal to the width of the rectangular sheet is cut from the sheet. Find the ratio of the area of the uncut region to

100. ## 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