
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?

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 community garden. His garden ...

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 available, what ...

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?

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.)


mary wants to build a fence around her rectangular garden. it is 10m wide and 15m long. how much fencing does she need to buy

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?

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 enclosed area

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. Determine the dimensions of...

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.

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 the greatest area? ...

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 the greatest area? ...

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 have the largest ...

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 suitable fencing and...

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...


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

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 is x. Find the ...

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 suitable fencing and a...

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 same roll of fencing...

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

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?

Mary wants to build a fence in the yard to keep her dog from running away. She only has 60 feet of fencing. If she wants to create a rectangular space that has a length that is twice as long as the width. How long is each side of the rectangular space?

Suppose you want to enclose a rectangular garden plot against a house using fencing on three sides, as shown at the left. Assume you have 50 ft. of fencing material and want to create a garden with an area of 150 ft². A. Let w = the width. Write an expression for the length ...

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 largest area she can ...

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 be if the area is 432 ...


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 amount of the fence ...

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 spend on purchasing ...

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?

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?

A rancher wants to build a rectangular fence next to a river, using 100 yd of fencing. What dimensions of the rectangle will maximize the area? What is the maximum area? (Note that the rancher should not fence the side next to the river.)

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

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.

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 in three sides of ...

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

Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?


Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden? ~ A. 89 ´ 99 ; 8811 ft B. 92 ´ 96 ; 8832 ft C. 94 ´ 94 ; 8836 ft D. 93 ´ 95 ; 8835 ft

A gardner plans to build a fence around his 24 by 12 foot rectangular vegetable garden. fencing for the garden can be purchased in 50 foot, 75 foot, or 100 foot rolls. which roll of fencing should the gardner buy

Bill wants to fence in his rectangular garden so his precious produce will be protected. Three sides of the fence will be constructed with wire at $2 per linear foot and the fourth side will be constructed of wood fencing at a cost of 6$ per linear foot.If he has $400 to spend...

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?

Someone help explain? Justin wants to use 188 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden? ~ A. 89 ´ 99 ; 8811 ft B. 92 ´ 96 ; 8832 ft C. 94 ´ 94 ; 8836 ft D. 93 ´ 95 ; ...

Word Problems: 1. A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. If he needs no fence along the river, what are the dimensions of the field that he can fence with the largest area? Find the area of the field. 2. If ...

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?

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?

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?

A school wants to build a fence to enclose a rectangular 4sided playground of 144m^2. What is the min cost for a fence if it costs $5.70 per meter of fencing? 2. The principal checks the budget an sees that only $228 is available for the purchase of fencing. What s the ...


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 so that the cost of ...

Justin wants to use 376 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden? A. 89 x 99; 8811 ft B. 92 x 96; 8832 ft C. 94 x 94; 8836 ft D. 93 x 95; 8835 ft thinking the answer is d...

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 are the dimensions ...

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 can i come up with a ...

Kate wants to build a fence around her garden to prevent rabbits from eating her vegetables. The rabbit fencing costs $7.50 per metre. How much will it cost to enclose a square garden with an area of 144 m2?

suppose im trying to build a rectangular garden but I only have 24 meters of fence to use. so what is the largest area I can make my rectangular garden? please help I don't get it! I have to use the USE format and I don't get the question can you just explain please?

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 how much fence is needed

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 should the third side ...

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

Mrs Harvey Wants To Put a 50 m Long Fence around Her Rectangular Garden. She Only Needs To Fence In 3 Sides Because The Other Side Is Alongside Her House. y=length x=width (a) Write an Expression For y In Terms of x (b) Write an Expression For The Area ( A ) Of The Garden , In...


Mrs Harvey Wants To Put a 50 m Long Fence around Her Rectangular Garden. She Only Needs To Fence In 3 Sides Because The Other Side Is Alongside Her House. (a) Write an Expression For y In Terms of x (b) Write an Expression For The Area ( A ) Of The Garden , In Terms of x (c) ...

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?

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

A rectangularshaped garden has one side along the side of a house. the other three sides are to be enclosed with 60ft of fencing. what is the largest possible area of such a garden?

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. What are the ...

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. area that the farmer can...

A rectangular lot is to be bounded by a fence on three sides and by a wall on the fourth side. Two kinds of fencing will be used with heavy duty fencing selling for $4 a foot on the side opposite the wall. The two remaining sides will use standard fencing selling for $3 a foot...

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

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 be created, and state...

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


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.

A rectangular garden is fenced on thee sides with a wall forming the fourth side. The total length of the fence is 70m. The area of the garden is 600m^2. Find the dimensions of the garden.

A rectangular garden is fenced on three sides with a wall forming the fourth side. the total length of the fence is 70m. the area if the garden is 600m^2. find the dimensions of the garden.

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?

if 60 m of fencing is available for a rectangular garden, one side of which is against a barn, what areb the dimensions of the garden that will give the maximum area?

if 60 m of fencing is available for a rectangular garden, one side of which is against a barn, what areb the dimensions of the garden that will give the maximum area?

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 area that the farmer ...

harris is planting a rectangular garden with an area of 24 square. he is also putting a fence around his garden. how should he arrange his garden so he can buy the least amount of fence possible?

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?

Gery wants to fence a rectangular field whose area is 1200 sq.m. He has only 100 meters of fencing so he decided to fence only the three side of the rectangle letting the wall be the fourth side. How wide the rectangle should be?


Gery wants to fence a rectangular field whose area is 1200 sq.m. He has only 100 meters of fencing so he decided to fence only the three side of the rectangle letting the wall be the fourth side. How wide the rectangle should be?

You work for a fencing company. A customer called, wanting to fence in his 1,320 squarefoot 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 details of the order, ...

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?

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.

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?

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?

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?

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?

suppose you are building a fence for a garden in your yard. your yard is 50 ft wide and has an area of 500 square ft. your father has 88 feet of garden fencing,so your garden has to have a perimeter of 88 ft. how big an area would you set aside for your garden?

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 is given so I ...


Gery wants to fence a rectangular field whose area is 1200 sq.m. He has only 100 meters of fencing so he decided to fence only the three side of the rectangle letting the wall be the fourth side. How wide the rectangle should be?

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

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

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

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 area that can be ...

A fence must be built in a large field to enclose a rectangular area of 25,600m^2. One side of the area is bounded by n existing fence, so no fence is needed for that side. Materials for the fence cost $3 per meter for the two ends and $1.50 per meter for the side opposite of ...

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?

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 minimize the cost.

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 minimize the cost.

You plan to enclosed part of a rectangular farmland with a fence. Since one side of it is bounded by a river, you only need to fence the other three sides. if you have enough budget to buy 600m of fencing material, what is the largest area you can enclose?


Mr. Cook wants to fence his rectangular garden which covers 100 ft squared. The width of the garden is 7 and 1/2 ft. What is the length of the garden? How much fencing will Mr. Cook need?

Jane grows several varieties of plants in a rectangularshaped 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 that Jane uses the ...

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 feet long. What is the...

The Maximum Garden Problem. 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?

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 divide in two equal ...
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