# A rectangular enclosure is to be created using 82m rope. A) What are the dimensions of the max area Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed C) How much more area can

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### math

A rectangular enclosure is to be created using 82m rope. A) What are the dimensions of the max area Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed C) How much more area can be enclosed if the rope is used instead of the barriers

### Algebra

To make an enclosure for chickens, a rectangular area will be fenced next to a house. Only 3 sides will need to be fenced. There is 120 ft. of fencing material. a. What quadratic function represents the area of the rectangular enclosure, where x is the distance from the house...

### Algebra

Suppose a farmer has 120 feet of fencing to make a rectangular barnyard enclosure. If the enclosure is x feet long, express the area A of the enclosure as a function of the length x.

### Math

Suppose a farmer has 120 feet of fencing to make a rectangular barnyard enclosure. If the enclosure is x feet long, express the area A of the enclosure as a function of the length x. Briefly explain.

### Calculus

A construction company wants to build a rectangular enclosure with an area of 1000 square feet by fencing in three sides and using its office building as the fourth side. Your objective as supervising engineer is to design the enclosure so that it uses the least amount of ...

### math

Chris wants to make an enclosed rectangular area for a mulch pile. She wants to make the enclosure in such a way as to use a corner of her back yard. She also wants it to be twice as long as it is wide. Since the yard is already fenced, she simply needs to construct two sides ...

### appliedcalculus

Suppose a farmer has 1,000 feet of fence and wishes to build two identical rectangular enclosures. What should be the dimensions of each enclosure if the total area is to be a maximum? Set problem up and solve using derivatives.

### math

Suppose you have enough material for 60 feet of fencing. With this material you want to build the largest rectangular enclosure possible. What are the dimensions of the largest possible enclosure, and what is its area?

### 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?

### 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

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?

### Math

Please help with this problem! Brandon wishes to fence in a rectangular area of his lawn for his rabbit. If the measure, in feet, of each side of the enclosure is a positive integer and the perimeter of the enclosure is 70 feet, what is positive difference between the area of ...

### Engineering

4. A rectangular enclosure is formed by using 800m of fencing. Find the greatest possible area that can be enclosed in this way and the corresponding dimensions of the rectangle.

### calculus

You have been hired by a farmer to design a fenced-in rectangular enclosure for emus. The emus will require 720 square feet of area in which to roam, and the fence will cost 20 dollars per foot. The rectangular area will adjoin an existing wall, so a fence is only needed on ...

### math

You have a 1200 foot roll of fencing and a large field. You want to make two smaller fields by splitting a rectangular enclosure in half.. 1. Use an algebraic solution to find the dimensions of the largest such enclosure. How big will the enclosure be?

### math

Ex. 120 m of fencing is to be used to form three sides of a rectangular enclosure , the fourth side being an existing wall . Find the maximum possible area of the enclosure

### algebra

Mike's family wants to build a rectangular fenced backyard area for their dog. They have a 20-meter length of wire fence and four posts. They can also use the 20-meter straight length of the back of their house as a side of the enclosure, but the fence cannot attach directly ...

### Math

1. If the point (-3,30) is on the graph y=(x-1)^2+14, where will the point be on y=(x-8)^2-6? I don't understand what this is asking and how I can find this. 2. A rental business charges \$12 per canoe and averages 36 rentals a day. For every 50-cent increase in rental price, ...

### Maths

You have 400 meters of fencing to use to make a rectangular enclosure. Give a detailed explanation of the different dimensions and areas that you are able to create using the set amount of fencing that you have. You may also show the dimensions of the rectangle where you would...

### math

4( x-2) metres of rope is used to fence this rectangular enclosure.Find x

### Math

Eighty metres of fencing are available to enclose a rectangular area. What are the dimensions that enclose the max area. What is max area?

### Calculus

a property owner wants to build a rectangular enclosure around some land that is next to the lot of a neighbor who is willing to pay for half the fence that actually divides the two lots. If the area is A, what should the dimensions of the enclosure be so that the cost to 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...

### 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 2

A rectangular field is to be enclosed by 300 feet of fencing. Find the dimensions of the enclosure that maximizes the area.

### maths

A farmer has 120 metres of fencing. He is going to make a rectangular enclosure PQRS with the fencing. He is also going to divide the enclosure into two equal parts by fencing along MN. SNR The width of the enclosure is x metres. The length of the enclosure is y metres. (a) (i...

### Calculus

The ride has 100 metres of fencing to make a rectangular enclosure as shown. link for the image imageshack com /a/img909/2881/WTnncK.jpg It will use existing walls for two sides of the enclosure, and leave an opening of 2 metres for a gate. a Show that the area of the ...

### College Algebra

Rita has 88 feet of fencing. She wants to use this fencing to enclose a rectangular area of 480 square feet. What must the dimensions of her rectangular enclosure be?

### Math Calculus

Three sides of a fence and an existing wall form a rectangular enclosure. The total length of a fence used for the three sides is 240 ft. Let x be the length of two sides perpendicular to the wall as shown. Write an equation of area A of the enclosure as a function of the ...

### Math

A rectangular enclosure is to be constructed with 800 feet of fence in order to have four sections. What should be the dimensions in order to maximize the area enclosed? What is the maximum area?

### 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 along that edge) and a ...

### math

a farmer has 120 m of fencing to make two identical rectangular enclosures using an existing wall as one side of each enclosure. The dimensions of each closure are x metres and y metres as shown. Obtain and expression in terms of x only for the total area of two enclosures, ...

### math

The perimeter of a rectangular cattle enclosure is 400 feet. It is 40 feet longer than it is wide. Using a system of equations solve for the length and width of the enclosure using the substitution method.

### 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 closure with the largest ...

### 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...

### optimization

A farmer wants to make 9 identical rectangular enclosures as shown in the diagram below. If he has 720 feet of fencing materials, what should the dimensions of each enclosure be if the total area is to be maximized?

### Algebra

A rectangular pig pen is made of 84 meters of fencing on three sides. The fourth side is a barn wall. Find the dimensions and greatest possible area of the enclosure.

### 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 against aâ€‹ barn, ...

### math

let’s say you have 4x feet of fencing, where x is any number. What, in terms of x, should the dimensions of the largest rectangular enclosure be, whose perimeter is 4x feet? What would the area be?

### math

You have two formulas to use: A = lw -->area = length times width P = 2l + 2w -->perimeter You know the perimeter, which is 200m of fencing. Let length = x Now let's solve the perimeter equation for w, using what we know: 200 = 2x + 2w 200 - 2x = 2w (200 - 2x)/2 = w 2(...

### maths

A farmer has 100metres of wire fencing from which to build a rectangular chicken run.He intends using two adjacent walls for two sides of the rectangular enclosure. Detrmine a formula for the enclosed area in terms of x

### maths

A farmer has 100metres of wire fencing from which to build a rectangular chicken run.He intends using two adjacent walls for two sides of the rectangular enclosure. Detrmine a formula for the enclosed area in terms of x

### Math (optimization) really confused

A rectangular fenced enclosure of area 225 square feet is divided half into 2 smaller rectangles. What is the minimum total material needed to build such an enclosure?

### Algebra

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 ...

### Calculus

A rancher has 900 meters of fence to enclose a rectangular corral. The corral is to be divided into four subcorrals. What are the overall dimensions of the large enclosure that yield the maximum area?

A rectangular feel measures 15m by 20m. A rectangular area is to be fenced in by reducing each dimension by the same amount. The fenced in area will be 1/2 the original area. What will the dimensions of the fenced in area be? I'm really confused, can someone please explain to ...

### pre-calc

a farmer wants to make a rectangular enclosure using a wall as one side and 120 m of fencing for the other three sides. a) express the area in terms of x and state the domain of the area function b)find the value of x that gives the greatest area. my teacher didn't explain how...

### 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.

### Math

Eleanor and Max used two rectangular wooden boards to make a set for the school play. 1 board was 6 ft long, the other was 5 1/2 ft long. The 2 boards had equal widths. The total area of the set was 60 3/8 square ft. What was the width?

### Calculus

You are given a piece of sheet metal that is twice as long as it is wide an has an area of 800m^2. Find the dimensions of the rectangular box that would contain a max volume if it were constructed from this piece of metal by cutting out squares of equal area at all four ...

### Math Linear Inequalities

A rectangular enclosure must have an are of at least 4800yd^2. If 280yd of fencing is used, and the width can not exceed the length, within what limits must the width of the enclosure lie?

### math

A rectangular field is to be enclosed by a fence. Two fences parallel to one side of the field divide the field into three rectangular fields. If 2400m of fence are available find the dimensions giving the max area.

### Calculus

The owner of a used tire 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 220 feet long) for part of one of the sides. (See the figure below.) There are 430 feet of fencing ...

### Math

A fence to a rectangular enclosure has a width w, which Is (5m) shorter than its length. (A).write down an expression for the perimeter of the enclosure. (B).if the perimeter is not to exceed (150m), find the maximum possible width of the enclosure.

### Math

A farmer has 12000m roll of fencing. He wants to make 2 paddocks by splitting a rectangle enclosure in half. What are the dimensions of the enclosure with the largest area that he can make with the fencing he has? I got 6,000,000 m^2, is it right? PLZ help

### Math

A farmer has 12000m roll of fencing. He wants to make 2 paddocks by splitting a rectangle enclosure in half. What are the dimensions of the enclosure with the largest area that he can make with the fencing he has? I got 6,000,000 m^2, is it right? PLZ help

### Math

A farmer has 12000m roll of fencing. He wants to make 2 paddocks by splitting a rectangle enclosure in half. What are the dimensions of the enclosure with the largest area that he can make with the fencing he has? I got 6,000,000 m^2, is it right? PLZ help

### 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

### 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 rectangular fence for...

### math

Two rectangular garden plots with an area of 60 square feet have distinct integer dimensions. The difference in the dimensions of one plot is the same as the sum of the dimensions of the other plot. what are the dimensions of the 2 garden plots?

### calculus optimization max min

find the dimensions of the rectangular area of maximum area which can be laid out within a triangle of base 12 and altitude 4 if one side of the rectangle lies on the base of the triangle thanks

### geometry

the area of the rectangular playground enclosure at South School is 500 square meters. The length of the playground is 5 meters longer than the width. Find the dimensions of the playground, in meters.

### math

There is 70m of fencing wire which is used to create 3 sides, brick wall is used for the 4th side. Calculate the maximum area of the rectangle, and state it's dimensions. (I got the correct maximum area but can't figure out how to get the side lengths.) I started with the ...

### 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 enclose with 60ft of ...

### calc

by cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, the cardboard may be turned into an open box. if the cardboard is 16 inches long and 10 inches wide, find the dimensions of the box that will yield the ...

### calculus - applied problems

Max area - A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area if the total perimeter is 16 feet. - - - - - --------- ! ! ^ !<-x/2->! y --------- <---x--->

### calculus - applied problems

Max area - A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area if the total perimeter is 16 feet. - - - - - --------- ! ! ^ !<-x/2->! y --------- <---x--->

### Math

Find the Maximum area for the given perimeter of a rectangle. State the length and width of the rectangle. 28 inches Well, finally a calculus problem. Ok, we know that the area for a rectangle is A=l*w and the perimeter is P=2(l+w) In this problem P= 28, so let's express one ...

### geometry

Zoe the goat is tied by a rope to one corner of a 15 meter-by-25 meter rectangular barn in the middle of a large grassy field. Over what area of the field can Zoe graze if the rope is 10 meters long? 20 meters long? 30 meters long?

### Geometry

Zoe the goat is tied by a rope to one corner of a 15 meter-by-25 meter rectangular barn in the middle of a large grassy field. Over what area of the field can Zoe graze if the rope is 10 meters long? 20 meters long? 30 meters long?

### Geometry

Zoe the goat is tied by a rope to one corner of a 15 meter-by-25 meter rectangular barn in the middle of a large grassy field. Over what area of the field can Zoe graze if the rope is 10 meters long? 20 meters long? 30 meters long?

### clemson

A farmer wants to make three identical rectangular enclosures along a straight river, as in the diagram shown below. If he has 1680 yards of fence, and if the sides along the river need no fence, what should be the dimensions of each enclosure if the total area is to be ...

### College Algebra

A rectangular enclosure is to be constructed with 2,000 feet of fence in order to have four sections, as in the diagram below. What should be the dimensions in order to maximize the area enclosed? What is the maximum area? (So the diagram is just four rectangles connected side...

### geometry

Given a rectangular prism with dimensions w = 3, l= 4, and h = 6. If you created a second rectangular prism with the length doubled but the height halved (and the width stays the same), which would be the relation of the second volume to the first volume?

### Fractions

Eleanor and Max used two rectangular wooden boards to make a set for the school play. One board was 6 feet long, and the other was 5 1/2 feet long. The two boards had equal widths. The total area of the set was 60 3/8 square feet. What was the width?

### 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 area? a) Find at least...

### math

Suppose you want to build an outdoor rectangular pen enclosed by fencing for a pet. You want the pen to have an area of 64 square feet. Write and post one set of dimensions that could be used for the pen, along with the perimeter of the pen.

### Fractions (not decimals)

Eleanor and Max used two rectangular wooden boards to make a set for the school play. One board was 6 feet long, and the other was 5 1/2 feet long. The two boards had equal widths. The total area of the set was 60 3/8 square feet. What was the width? THANK YOU!

### Algebra

The back of Alishaâ€™s property is a creek. Alisha would like to enclosure a rectangular area, using the creek as one side and fencing for the other threee sides, to create a corral. If there is 180 feet of fencing available, what is the maximum possible area of the corral?

### math

a piece of rope 80 centimeters long must be cut into 2 pieces. Each piece of rope will be used to form a rectangle. Where would the rope be cut if the area of 1 rectangle must be 1/4 the area of the other rectangle

### Math

240 m of fencing material is going to be used to enclose three sides of a rectangular lot. What should the dimensions of the lot be so that the enclosed area is as large as possible? (I'm supposed to solve this using a quadratic equations but I don't know how...)

### Calc

Rope and wire are arranged in the shape of a rectangle. Two parallel sides of the rectangle are made from the rope which costs \$2.00 per foot. The other two sides are made from the wire which costs \$3.00 per foot. Find the dimensions of the rectangle enclosing the most area ...

### math

A farmer has 100metres of fencing from which to build a rectangular chicken run. He intends to use two adjancent walls for two sides of the rectangular enclosure. Determine a formular for the enclosed area in terms of X?

### math

The base of a rectangular prism has dimensions (x)cm by (2x) cm and a height of (x + 2) cm. If the total surface area is 63cm squared, find the value of x and the dimensions of the rectangular prism....

### 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 area that can be ...

### Math

company will enclose a rectangular area of 12 comma 600 ft squared12,600 ft2 in the rear of its plant. One side will be bounded by the building and the other three sides by​ fencing, as shown to the right. If 320 ft320 ft of fencing will be​ used, what will be the ...

### math

a rectangular security area is enclosed with 200 ft of fencing. if this rectangular area is arranged so that the ratio of the length to the width is 5/3, find the dimensions.

### Algebra

A dog trainer has 64 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclose an area of 192 ft2, what will be the dimensions of the work area?

### Algebra

Building windows: Window World, Inc., is responsible for designing new windows for the expansion of the campus chapel. The current design is shown in the figure. The metal trim used to secure the perimeter of the frame is 126″ long. If the maximum window area is desired...

### Algebra

Window World, Inc. is responsible for designing windows for the expansion of the campus chapel. The current design is shown in the figure. The metal trim used to secure the perimeter of the frame is 126 inches long. If the maximum window area is desired, what will be the ...

### algebra

A rope is cut into three and one-third is used. Then one-fourth of the remaining rope is cut off and used. The piece left is 6 meters long. How many meters long was the rope originally?

### geometry

Jake needs 9 pieces of rope that are each the same length. He cuts the pieces from a rope that is 8 yards long and uses up the whole piece of rope. How long is each piece of rope?

### Math (Area of Shapes)

Suppose that the spool is 1m long and has an inner diameter of 20 cm and an outer diameter of 60 cm. Approximately, how long a piece of 5 cm thick rope can be wound onto this spool? ( Assume that the rope is wound neatly, in layers. Each layer will consist of a row of "winds" ...

### Pre calc- confused

Geometry/Maximum area: A rancher wants to enlarge an existing rectangular corral such that the total area of the new corral is 1.5 times that of the original corral. The current corral's dimensions are 250 feet by 160 feet. The rancher wants to increase each dimension by the ...

### 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

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

### Math

a 120 foot long rope is cut into 3 pieces. the first piece of rope is twice as long as long as the second piece of rope. the third piece of rope id 3 times as long as the second piece of rope. what is the length of the longest piece of rope

### College Math

I am so confuse about this question Determine the area of a circular enclosure and a square enclosure made with 107 meters of fence.

### Volume of a rectangular prism

Hello, if the volume of a rectangular prism is LWH = 64 cubic inches, what are the dimensions of a rectangular prism with dimensions twice as long? Thank you!

### Precalculus

There are 4 rectangular corrals of identical dimensions along the back wall of an existing barn using 200 ft of fencing. The diagram has 4 rectangular corrals attached together but fencing is not needed on the back wall of the barn. The barn is above the 4 rectangular corrals...