# A gardener has 720 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.What dimensions would guarantee that the garden has the greatest

27,333 results
1. ## Math

The question is: A gardener wishes to create a rectangular bed. There are 70 meters of fencing wire which will be used to fence three sides of the garden bed, with a brick wall forming the fourth side. Calculate the maximum area of the garden bed that can

2. ## Math

Chris wants to build a fence around his square garden. The garden measures 6 feet on each side. How many fencing material does he need?

3. ## Pre-Calculus

A rectangular garden with an area of 250 square meters is to be located next to a building and fenced on three sides, with the building acting as a fence on the fourth side. Let x be the length of the side parallel to the building. 1. Find T(x), the total

4. ## algebra 1

Charles wants to build a vegetable garden such that three sides of the garden are fenced and the fourth side of the garden will be the existing back fence. He has 30 feet of fencing available. Find the dimensions of the garden that will produce the maximum

5. ## 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

6. ## algebra

Daisy is building a rectangular pen for her chickens along one wall in her back yard. She needs to build a fence along the remaining three sides of the pen. She represents this situation with the inequality w+2ℓ≤125. Which explanation correctly

7. ## 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?

8. ## Calculus

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing \$60/ft and on the other three sides by a metal fence costing \$50/ft. If the area of the garden is 102 square feet, find the dimensions of the garden that

9. ## Math

A 40-foot by 10-foot rectangular garden is enclosed by a fence. To make the garden larger, while using the same amount of fencing, its shape is changed to a square. How many square feet larger than the old garden is the new garden?

10. ## Math

Julie is putting a fence around her rectangular garden. The garden measures 4 feet by 6 feet. How much fencing should Julie buy?

11. ## Math

A gardener has 120 ft of fencing to fence in a rectangular garden. one side of the garden is bordered by a river and so it does not need any fencing. 1. what dimensions would guarantee a garden with an area of 1350 ft^2? 2. What dimensions would guarantee

12. ## Algebra

A gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. -If he has 20 meters of fence, what is the largest rectangular area he can enclose? -What quadratic function represents the area of the garden? Thanks

13. ## algebra

Maria’s garden has 24 meters of fence and she wants to fence the rectangular garden with wall on one side of the garden. She needs no fence along the wall side. Find the largest area of the Maria’s farm that can be fenced.

14. ## optimization calcus

A rectangular rose garden will be surrounded by a brick wall on three sides and by a fence on the fourth side. The area of the garden will be 1000m^2. The cost of the brick wall is \$192/m. The cost of the fencing is \$48/m. Find the dimensions of the garden

15. ## Math

Suppose that 32 feet of fencing is available to enclose a rectangular garden., one side of which will be against the side of a house. What dimensions of the garden will guarantee a maximum area?

16. ## math

if a gardener fences in the total rectangular area shown in the illustration instead of just the square area,he will need twice as much fencing to enclose the garden.how much fencing will he need ?

17. ## math

Julianna is making a rectangular garden in her backyard. She has plotted three of the corners on the coordinate plane. A. Find the coordinates of the last corner of the garden. B. Determine the length and width of the garden using absolute value.

18. ## Geometry

Ralph wants to put a fence around his rectangular garden. His garden measures 53 feet by 55 feet.The garden has a path around it that is 3 feet wide. How much fencing material does Ralph need to enclose the garden and path?

19. ## math

A gardener has 720 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.What dimensions would guarantee that the garden has the greatest possible area?

20. ## Math

A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is 29ft long and 17ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required? (Use the value 3.14 for pi, and do

21. ## Mathematics

Mary wants to build a fence around a rectangular area for a garden. She has 150 ft of fencing and she wants to leave 10 ft opening on side for a gate. In order to make a area of the garden. A maximum what should the dimensions of the garden will be?

22. ## Geometry

Jose wants to put fencing around his rectangular garden. His garden measures 31 feet by 33 feet. The garden has a path around it that is 3 feet wide. How much fencing does Jose need to enclose the garden and path?

23. ## Grade 12 Calculus and Vectors

A homeowner wants to enclose a rectangular garden with fencing The garden will be adjacent to his neighbours lot. There will be fencing on all four sides. His neighbour will be paying for half of the shared fence. What should the dimensions of the garden

24. ## 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.

25. ## 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.

26. ## cne

A rectangular garden measures 3 feet by 15 feet. The gardener decides to extend the garden 1 foot in each of the four directions. What is the perimeter of the new garden in feet?

A gardener wants to create a rectangular vegetable garden in a backyard. She wants to have a total area of 13 square feet, and it should be 12 feet longer than it is wide. What dimensions should she use for the vegetable garden? width = feet length = feet

28. ## Algebra

A homeowner wants to fence a rectangular garden using 60 ft of fencing. An existing stone wall will be used as one side of the rectangle. Find the dimensions for which the area is a maximum

29. ## 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

30. ## algebra

A gardener has 120 ft of fencing to fence in a rectangular garden. one side of the garden is bordered by a river and so it does not need any fencing. a. what dimensions would guarantee a garden with an area of 1350 ft ^2 b. what dimensions would guarantee

31. ## Algebra

a farmer wants to build a rectangular garden with a river as one side.what is the area of the biggest garden that he can fence with 220 meters of fencing materials?

32. ## math

The owner of a garden supply store wants to construct a fence to enclose a rectangular outdoor storage area adjacent to the store, using part of the side of the store (which is 260 feet long) for part of one of the sides. (See the figure below.) There are

33. ## math

Robbie needs to buy fencing for his square vegetable garden that measures 16 3/4 feet on a side. One side borders the back of the garage. The fencing costs \$4 per feet. Estimate how much the fencing will cost. I NEED HELP!!!!!

34. ## math

3) You are fencing a rectangular puppy kennel with 25 ft of fence. The side of the kennel against your house does not need a fence. This side is 9 ft long. Find the dimensions of the kennel. 4) A gardener is planning a rectangular garden area in a

35. ## engineering mathematics 1

your father wants to fence a rectangular area in your backyard for a garden. one side of the garden is along rhe edgeof the yard is already fenced, so you only need to build a new fence along the other 3 sides of rectangle. if you have 80 meter of fencing

36. ## mathematic

Chris wants to build a vegetable garden such that three sides of the garden are fenced in the fourth side of the garden will be exiting the back fence. He has 30 feet of fencing available find the dimensions of the garden that will produce the maximum

37. ## math

a gardener is planning to make a rectangular garden with an area of 80ft^2.she has 12 yards of fencing to put around the perimeter of the garden.what should the dimension of the garden be ?

38. ## Pre-calc

a rectangular yard is to be enclosed by a new fence on 3 sides and by an existing fence on the fourth side. the amount of new fencing to be used is 160 feet

39. ## Pre-calc

a rectangular yard is to be enclosed by a new fence on 3 sides and by an existing fence on the fourth side. the amount of new fencing to be used is 160 feet

40. ## Honors Geometry

You work for a fencing company. A customer called, wanting to fence in his 1,320 square-foot rectangular garden. He ordered 148 feet of fencing, but you forgot to ask him for the width and length of the garden (these dimensions will determine some of the

41. ## College Algebra

A rectangular garden plot is to be enclosed with a fence on three of its sides and a brick wall on the fourth side. If 100 feet of fencing material is available, what dimensions will yield the maximum area? (Hint: if two of the sides are labeled w, what

42. ## Math

Serena has a square-shaped garden. She wants to put a fence around the outside of the garden. One side of the garden is 8 feet long. How many feet of fence will she need?

43. ## Math

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 38 feet. There will be a fence around the garden. The fencing costs \$8.25 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth.

44. ## calculus

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing \$30/ft and on the other three sides by a metal fence costing \$10/ft. If the area of the garden is 42 square feet, find the dimensions of the garden that

45. ## math

a man decides to create a vegetable garden. He buys 100m of wire netting to fence off a rectangular area from the kangaroos. There is already an existing fence on one side of the rectangle, so the 100m of wire netting is for the other 3 sides.If x is the

46. ## algebra

You have 24 feet of fence to make a rectangular garden.Each side will measurw a whole number of feet.How many different sized rectangular gardens can you make?

47. ## Algebra

You are in the process of planning a garden in your back yard. The garden will be rectangular in shape. Determine the best length and width (in feet) for your garden and determine how many feet of fencing you will need to enclose the garden. Use the

48. ## College Algebra

The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 720 feet of fencing available to fence the other three sides. Let x represent the length of each of the two parallel sides of

49. ## Maath:)

Sam is going to plant a rectangular flower garden next to his house. There will be a fence on three sides of the garden( fencing is not necessary along the houe). The area of the garden is to be 1,000sq. ft., and he has 90 feet of fencing available.

50. ## Algebra 2

Ann wants to plant a rectangular garden next to a straight river. She has 120 feet of fencing and will not fence the side of the garden next to the river. What dimensions will produce the largest garden?

51. ## 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

52. ## MATH

Spencer wants to plant strawberries for his garden. To do this, he has to increase the garden and the fence around it. Spencer decides one side can be twice as big and the other side four times as big. One side measures 7feet long and the other side is 5

53. ## Algebra

A gardener has 60 feet of fencing with which to enclose a garden adjacent to a long existing wall. The gardener will use the wall for one side and the available fencing for the remaining three sides. (a) If the sides perpendicular to the wall have length x

54. ## Polynomials and quadratic application

I want to make a rectangular garden by fencing in a area on the back of my house. Three sides of the rectangle will be fencing; the fourth side will be the side of the house. I have 60 feet of fence. What dimensions should I make the rectangle so that I

55. ## arithematic

A horticulturalist is building a fence around a rectangular garden using the side of the building for one side of the enclosure. she has 81 feet fencing. what should be the dimensions of the enclosure be so that she can maximize the garden's area?

56. ## math

A gardener wants to use 62 feet of fencing to enclose a rectangular shaped garden. If its length is 4 feet longer than twice its width, find the width of the garden

57. ## Math

Jose decided to make a vegetable garden in his rectangular backyard. The garden will be 25 ft. long and 12 ft wide. how many feet of fencing material will he need to surround the garden with a fence?

58. ## Math

Frank wants to put up a fence around a rectangular garden. The garden measures 12 feet by 10 feet. How much fencing material does he need?

59. ## Math

Two of the local ranchers are bragging about their ability to use fencing sparingly. Bob says that he was once able to fence in a rectangular pasture of 14,200 square feet with only 480 feet of fencing. Susan says that she was once able to fence in a

60. ## Math

The area of Mike's rectangular garden is 360 feet the garden is 12 feet wide what is the length of fencing mike need to buy in order to fence in the garden completely on all four sides

61. ## college Algebra

A rectangular fence is to be built along a river using the river as one side of the fence.the cost of the fencing for the two ends is \$8 per sq ft and the cost of the fencing for the side running parallel to the river is \$12 per sq ft. If you have \$3600 to

62. ## Algebra Word Problem Help

A gardener has 40 feet of fencing with which to enclose a garden adjacent to a long existing wall. The gardener will use the wall for one side and the available fencing for the remaining three sides. If the sides perpendicular to the wall have length x

63. ## Algebra and Trig

Aldo has feet of fencing. He will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. What is the maximum area that the garden can have?

64. ## Math: Word Problem

A security fence encloses a rectangular are on one side of a park in a city. Three sides of fencing are used, since the fourth side of the area is formed by a building. The enclosed area measures 450 square feet. Exactly 60 feet of fencing is used to fence

65. ## 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

66. ## Math

A rectangular garden is to be fenced off and divided into 3 equal regions by fencing parallel to one side of the garden. 200 feet of fencing is used. find the dimensions of the garden that maximizes the total area enclosed. what is the maximum area?

67. ## math

Kira has feet of fencing. She will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. For the area of the garden to be the maximum, how long should the side opposite the house be?

68. ## 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.)

69. ## Math

Mr. Rogers wants to fence in a rectangular garden next to a straight section of the Scioto River. He has 330 feet of fencing to do the entire job. He doesn’t need fencing along the river, and there is a 4.5 foot wide clearance for a gate at one end. What

70. ## Math.

Nancy Tobey planted a vegetable garden in the backyard. However, the deer and raccoons have been stealing all the vegetables. She asked John to fence in the garden. The rectangular garden measures 8 feet by 15 feet. How many feet of fence should John

71. ## Math

If it costs \$75 to install 40 feet of fencing, how much does it cost to fence a rectangular garden that measures 12 feet by 16 feet?

72. ## Math

phyllis wants to fence in a rectangular garden with maximum area. she has 22 feet of fence. all the lengths of the sides of her garden must be whole numbers of feet. what is the best choice available to phyllis for the side lengths of her garden? Why?

73. ## math: optimising

I cant figure out this homework question! I need to use optimisation to find the answer but I cant work it out :( There is a rectangular garden which is in need of fencing. Three sides of the 30m wide garden are already fenced. You own an additional 20m of

74. ## math

dale have decided to fence off the garden plot behind his house, using his house as a "fence" along one side of a garden, the lenght(which run parallel to the house)is e feet less than twice the width. Find the dimensions if 32feet of fencing is used along

75. ## Math

I have 47 feet of fencing that I would like to put next to my garage to keep the animals out of my garden. I need only 3 sides to have fencing since my garage provides for the other side. I want the shape to be a rectangular garden and the length to be at

76. ## college algebra word problem

Here's the problem I was asked: You are visiting your parents on a farm. They have asked you to design a small rectangular-shaped vegetable garden along an existing wall in their backyard. They wish to surround it with a small fence to protect their plants

77. ## Math

Your grandmother has asked you to help her build a rectangular garden for her roses in her back yard. She has 120 feet of fencing and plans to have one side of the garden against the back of her house so it doesn’t need fencing. What are the dimensions

78. ## Math: Optimising

cant figure out this homework question! I need to use optimisation to find the answer but I cant work it out :( There is a rectangular garden which is in need of fencing. Three sides of the 30m wide garden are already fenced. You own an additional 20m of

79. ## algebra

18. Mr. Rogers wants to fence in a rectangular garden next to a straight section of the Scioto River. He has 330 feet of fencing to do the entire job. He doesn’t need fencing along the river, and there is a 4.5 foot wide clearance for a gate at one end.

80. ## Math

Sondra is trying to figure out how much fence material to buy for her rectangular garden. The garden is 18 feet long, and its width is 1/3 of its length. How many yards of fencing should she buy?

81. ## math

If a man is fencing in a rectangular lot of grass next to the road and doesnt want to fence the side touching the road and has 248 feet of fence, whats the maximum area he can fence?

82. ## Math

A rectangular garden is surrounded by a roll of chicken wire fencing to keep out the rabbits. The dimensions of the garden are 2.6 m by 5.1 m. The area enclosed by the fence is ______ square metres. The length of the fence is ____ m. The following year the

83. ## Algebra Word Problem Help

I got 2 more intense problems like this. Can someone show me the way for each step so I can follow along with the other problems I have to do? ThankS! A gardener has 40 feet of fencing with which to enclose a garden adjacent to a long existing wall. The

84. ## Geometry

Harris is planting a rectangular garden with an area of 48 square feet . He is also putting a fence around his garden . How should hr arrange his garden so he can buy the least amount of fence?

85. ## math

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 30 feet. There will be a fence around the garden. The fencing costs \$9.25 per linear foot. About how much will the fencing cost altogether? THANK YOU!

86. ## Math

Sam measured the out side of his vegetable garden.The sides measured 6 feet, 3feet, 6feet, and 3 feet.How much fencing does sam need to put a fence around the whole garden?Show two different methods of finding the solution.

87. ## Algebra Help

I got 2 more intense problems like this. Can someone show me the way for each step so I can follow along with the other problems I have to do? ThankS! A gardener has 40 feet of fencing with which to enclose a garden adjacent to a long existing wall. The

88. ## optimization

Farmer taylor wants to fence a rectangular area of 1800 square feet and divided into 3 parts by fencing parallel to the shorter side. What is the minimum amount of fencing for this job?

89. ## geometry

Serena has a square-shaped garden. She wants to put a fence around the outside of the garden. One side of the garden is 8 feet long. How many feet of fence will she need?

90. ## Calculus-Applied Optimization Quiz Problem

A rancher wants to fence in a rectangular area of 23000 square feet in a field and then divide the region in half with a fence down the middle parallel to one side. What is the smallest length of fencing that will be required to do this?

91. ## MATH!!

The area of Mrs.Raders rectangular garden is 100 square feet. One side is a stone wall. She encloses the other 3 sides with 30 feet of fencing. What are the dimensions of her garden? I have the length of the triangle to be 30-2x and the width to be x. But

92. ## 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

93. ## Math

You are buying a fence to enclose a garden that has an area of 360 square feet. x + 9 The bottom of garden x side of garden a) What is the width of the area to be enclosed? Answer in units of ft b) How much fencing do you need? Answer in units of ft

94. ## Math

You want to build a garden around your garden. One side borders your house so it does not need a fence. If you only have 50m of fencing what dimensions should you make your garden in order to maximize the area?

95. ## MATH 11 help PLease!

A rectangular garden is made at the side of the house. Part of the house forms one side of the fencing and divided into four equal plots. If 90m of fencing is available, determine the dimensions for the entire garden that will produce a maximum area. how

96. ## math

Betty bought 105 ft of fencing to enclose a vegetable garden in her backyard. The garden is to be a rectangle, twice as long as it is wide, with a fence across the middle parallel to the width. What should be the dimension of the garden in feet?

97. ## Math

Tiffany is constructing a fence around a rectangular tennis court. She must use 300 feet of fencing. The fence must enclose all four sides of the court. Regulation states that the length of the fence enclosure must be at least 80 feet and the width must be

98. ## Math

Jane grows several varieties of plants in a rectangular-shaped garden. She uses fencing to divide the garden into 16 squares that are each 1 m by 1 m. She also puts fencing around the perimeter of the garden. What should the dimensions of the garden be so

99. ## Math

My friend has \$80 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs \$8/foot on one side, and cheaper metal fencing which costs \$2/foot for the other three sides. What are the dimensions of the garden with the

100. ## Algebra

a rectangular garden is located adjacent to a house the family needs to fence in the garden the family wants three side because one side is up against the house the length is 5 meters longer than the width and the area of the garden is 204 square meters