# farmer wishes to fence a rectangular area along the river bank. No fence is required on the ... Three sides of a fence and an existing wall form a rectangular enclosure

78,007 results

**Calculus**

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.)

**calculus**

Farmer Jones has 210 meters of fence. She wishes to construct a rectangular pen using the river as one side and dividing the pen into six separate rectangular pens as shown. What should the dimensions of the combined pens be to maximize the area enclosed? 7 vertical and one ...

**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.

**Pre-aljebra**

a rectangular dog pen is to be constructed so that one side is against an existing stone wall and the other three sides are to be fenced. of 500 feet of fence is to be used, determine the dimensions and area of the pen with maximum area. I have no idea how to solve this problem.

**college math**

a rectangular dog pen is to be constructed so that one side is against an existing stone wall and the other three sides are to be fenced. of 500 feet of fence is to be used, determine the dimensions and area of the pen with maximum area. I have no idea how to solve this problem.

**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 suitable fencing and a...

**Calculus 1**

A rectangular field is enclosed by a fence and separated into two parts by a fence parallel to one of the sides. If 600 m of fencing is available, what should the dimensions be so that the area is a maximum?

**11th grade math**

A farmer wants to fence in 60 000m^2 of land in a rectangular field along a straight road. The fencing that he plans to use along the road is $10 per meter and the fencing that he plans to use for the other three sides costs $5 per meter. a) How much of each type of fence ...

**rectangular area**

mark wants to fence a area 240 sq feet for his dog the fence is 24 feet long then how wide will the fence be

**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.

**Precalculus**

A rancher wishes to fence in a rectangular plot of land and divide it into two corrals with a fence parallel to two of the sides. If she has 300 yd of fencing available, how large an area can the plot have? This is what I have so far: A=xy 300=2x+3y

**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 dimensions for the ...

**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 dimensions for the ...

**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.

**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

**Geometry**

a Farmer want to put up a fence with a total perimeter of 250 ft. It is the shape of a rectangle but there is a river on one side. What is the maximum area of feet that the fence can be?

**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 available, what ...

**Math**

1. A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region. The enclosed area is to equal 1800 ft2. Find the minimum perimeter and the dimensions of the corresponding enclosure.

**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?

**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. What is the total area enclosed by the fence?

**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

**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 side which costs three...

**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 in three sides of ...

**Math**

Madison has 48 ft of fence with which to fence in a rectangular garden. What is the maximum area she can enclose?

**Math Geometry**

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?

**Geometry:Rectangles**

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?

**math**

I've tried this many times, but I keep getting a really big answer. A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the ...

**shortest fence**

this is my last question from applications of derivatives! A 216m^2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by another fence parallel to one of the sides. What dimensions for the outer rectangle will require the smallest total length...

**Math**

A rectangular yard measuring 30ft by 35ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk

**Math**

A farmer needs to enclose three sides of a pasture with a fence (the fourth side is a river). The farmer has 42 meters of fence and wants the pasture to have an area of 220 sq-meters. What should the dimensions of the pasture be? (For the purpose of this problem, the width ...

**Math**

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?

**Calculus**

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

**Calculus**

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

**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?

**Geometry Rectangle**

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?

**calculus**

A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle, parallel to one side. Length of fence:______ feet *obviously I'm bad at word problems but that's why I'm trying to work on them and need ...

**calculus**

A landscape architect wishes 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 $20/ft. If the area of the garden is 2,000 ft2, find the dimensions of the garden that minimize the cost. ?= (ft of ...

**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?

**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. area that the farmer can...

**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?

**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?

**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?

**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?

**word problem math b**

A rectangular field is 80 m long and 60 m wide. If fence posts are placed at the corners and are 10 m apart along the four sides of the field, how many posts are needed to completely fence the field?

**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 along the road, the ...

**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

**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 area that the farmer ...

**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?

**Optimization Calculus**

A three sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region. There is 96 ft of fencing available. Find the maximum enclosed area and the dimensions of the corresponding enclosure. I drew a picture of it and I got ...

**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

**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 the largest possible...

**Algebra**

A rectangular yard measuring 25ft by 35ft is bordered (and surrounded) by a fence. Inside, a walk that is 2ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.

**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

**word problem?**

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...

**order pair and relations**

Henry is building a fence in his backyard for his new puppy. he has 36 feet of fencing and wants a fence in a rectangular area. what is one set of whole number dimension of the fenced in area?

**Intermediate Algebra**

your house sits on a rectangular lot that has a perimeter of 320 feet. you want to fence the two sides and the back of your lot. your neighbor on the back end wants to have a concrete frence that costs $16 per foot. your side neighbors do not want such an expensive fence and ...

**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?

**Calculus**

A rectangular play area is to be fenced off in a person's yard and is to contain 108 yd^2. The next-door neighbor agrees to pay half the cost of the fence on the side of the play area that lies along the property line. What dimensions will minimize the cost of the fence?

**Algebra - Math**

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

**College Algebra**

a hardware store owner chooses to enclose an 800 square foot rectangular area in front of her store so that one of the sides of the store will be used as one of the four sides of the fence. if the two sides that come out from the store front cost $3 per running foot and the ...

**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 wood for that side ...

**math**

A rectangular plot of land measures 40m by 30m. There is a wall on one of the longer sides. Four strands of wire are to be used to fence the three remaining sides of the plot. What length of wire is required?

**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?

**Calculus**

A dog kennel with four pens is to be constructed. The pens will be surrounded by rectangular fence that costs $13 per meter. The rectangle is partioned into four pens of equal size with three partitions made of fence that costs $5 per meter. Each pen measures x meters wide by ...

**calculus**

A dog kennel with four pens is to be constructed. The pens will be surrounded by rectangular fence that costs $23 per meter. The rectangle is partioned into four pens of equal size with three partitions made of fence that costs $12 per meter. Each pen measures x meters wide by...

**fdr**

a rectangular fence is constructed that will enclose 100 ft sq of land. three sides will be built from fencing that costs 10 dollars per foot and the 4th side will be built from fencing that costs 23 dollars per foot. find the dimensions of the rectangular fence that minimizes...

**Precalculus**

A farmer with 10000 meters of fencing wants to enclose a rectangular field and divide it into two plots with a fence parallel to the sides. What is the largest area that can be enclosed?

**Calc-optimization**

Ann wants to build an enclosed area behind her house. One wall of the enclosed area will be the back of the house. She needs the total to be 120 sq feet. She wants to minimize the cost of fence materials. For the sides (W) fence materials cost $3/ft, for the length (L) they ...

**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?

**math**

A farmer has 110 metres of fencing to fence off a rectangular area. Part of one side is a wall of length 15m. Find the dimensions of the ﬁeld that give the maximum area. Thank you so much for a huge help.

**Algebra**

You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

**College Algebra**

You have 800 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river,find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

**calculus**

A Veterinarian has 80 feet of fence and he wants to enclose a rectangular dog-run along the back side of his office building. He will not fence the side along the building. What are the dimensions of the dog-run that give the maximum area he desires?

**math**

A farmer is planting squashplants that need 2 3/8 feet to spread out. he has an area along a fence that is 20 feet long. Round the amount of space the squash plants need to the nearest 1/2 foot. How many squash plants can the farmer grow along the fence?

**Math**

Ali has a rectangular pool around which he wants to construct a fence. The pool is 10 m long and 6 m wide, and he wants the fence to be 2 m from the edge of the pool on all sides. How many metres of fencing will he need

**math**

mr.king, the owner of good morning groceries, wants to make a fence aea to put his carts in at night.he has 68 feet of fencing.what is the largest rectangular area he can fence? ( use only whole numbers)

**math**

judy wants to fence the sides of the yard in front of her house . She bought 60m of fence and wants the max area she can fence in . The quad function a(x)=-2x^2+60x, where x is the width of the yard in metres , represent area enclosed . Determine the max area possible , ...

**geometry**

a field bounded on one side by a river is to be fenced on three sides to form a rectangular enclosure. there are 320 ft of fencing available. what should the dimensions be to have an enclosure with the maximum possible area?

**Math Algebra 2**

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.

**Algebra**

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

**calcus/ math**

Nick has enough wire to construct a 100m of fence. he wish to use it to form three sides of a rectangular garden,one side is along his building. 1)What dimensions should be choose in order to enclose the largest possible area? 2)Verify the result thus obtained by graphical ...

**math**

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

**Math**

A landowner wishes to construct a fence around a small section of her property. The fence is rectangular and is (3√5)/√7 meters wide and (2√3)/√5 meters long. What is the exact perimeter of the fence? (Recall that the perimeter is the sum of each ...

**calculas**

A landowner wants to fence in a rectangular area of 60000 square metres and divide it into three parts with two parallel fences both parallel to one side of the rectangle. Each part will have a different grazing crop for the herds. What is the shortest total length of fence ...

**math-Polya**

What is the largest rectangular chicken pen (enclosure) that a farmer can construct (fence) if he/she is providing with a wire fencing of 20 metres? The farmer is expected to use only full metres for the sides. 1. Use Polya to solve problem (8) 2. Use three representations(...

**calculus**

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

**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 be created, and state...

**Pre-Calculas 11**

a farmer wants to build two pens (one for cows, the other for horses) on land by a straight road. There is already a fence along the road and the farmer has 800m of fencing to build his fence to enclose the pens and separate them as shown in the diagram below. what is the ...

**math**

18 sections of fence each 1 meter long. What are the various sizes of rectangular pens using all 18 units of fence?

**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?

**math**

Walterwants to replace some fence on his farm the wooden rail fence cost about $60 for the wood and $50 for labor to install a fence 12 feet long. He estimated he would need276 feet of new fence, however when he measured it he realized he would only need 216 feet of fence what...

**Math**

a farmer wants to fence in part of her land so that her chickens will have thier own little area. if she only has 28 feet of fence, what is the area of the largest pen that she can build?

**Calculus Follow Up**

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 ...

**Math**

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) ...

**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?

**college math 201**

i have 50 feet of fence and the house will be the fourth side. i want a rectangular fence as big as possible. what re the dimensions?

**Algebra 2 b**

Jane is going to fence in her back yard. She has purchased 100 feet of fencing and knows that she wants to fence in a rectangular area where one side will be the back of her house. She knows her house is 30 feet across the back. Which of the following is the equation that Jane...

**math**

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...

**Math**

a 5 foot fence will be built around the perimeter of a 50 foot by 120 foot rectangular lot. if the fence costs $1.80 per linear foot for labor and $.40 per square foot for material, what will be the cost of the fence?

**Applied Calculus**

A hardware store owner chooses to enclose an 800 square foot rectangular area in front of her store so that one of the sides of the store will be used as one of the four sides of the fence. If the two sides that come out from the store front cost $3 per running foot for ...