Paula plans to build a rectangular closure for her dogs using 140m of fencing. What is the maximum area of the enclosure that she can build?

Q: Afarmer owns 1000 m of fence and wants to enclose the largest possible rectangular area. The region…

A: we use second derivative test to find dimensions where area is maximum

Q: What are the dimensions of a rectangle with perimeter 160 cm and the maximum area' What is the…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Morris is designing a new sign for his ice cream shop to be placed by the exit from a nearby…

A: Draw a cone with height of the bottom triangle 3 times the height of the semicircle as shown in…

Q: A farmer buys 120 m of fence. He wants to make 2 cages of 4 rectangles with the same length for his…

A: Let x and y be the  length and width of cage respectively (equals to dimensions of rectangle) total…

Q: A rectangular garden is 10 ft longer than it is wide.Its area is 875 ft2. What are its dimensions?

A: Given: A rectangular garden is 10 ft longer than it is wide.Its area is 875 ft2. To Find: Dimensions…

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,800 feet of fencing…

A: This question is related to application of derivative.

Q: An open-top box with a square base is to have a volume of 32 cubic feet. Find the dimensions of the…

A: To determine the dimension of the box which minimize the amount of material used.

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A: This question can be solved using the concept of maxima and minima.

Q: You have 268 feet of fencing to enclose a rectangular region. What is the maximum area of the…

A: maximum area of the rectangle

Q: What are the dimensions of a rectangular wall that can be constructed with 81 feet of brick that…

A:

Q: You are given a rectangular piece of paper that has length x=35.4x=35.4 cm and height y=28y=28 cm.…

A:

Q: Kelly has 2400 feet of irrigation piping He wants to use to irrigate his back lawn. He wants to lay…

A: The person wants to lay the pipeline of 2400 feet such that it cuts off three equal rectangular…

Q: Find the dimensions of the rectangular corral producing the greatest enclosed area given 360 feet of…

A:

Q: Helen has 28 m of fencing which she can use to surrounda pen for her pigs. What is the maximum area…

A:

Q: A man wants to construct a rectangular enclosure around his model railroad. Only three sides must be…

A:

Q: Find the length and width of a rectangle that has perimeter 64 meters and a maximum area.

A: Given perimeter of rectangle is 64 meters. Let length of rectangle be x. Perimeter of…

Q: 4) The sum of the bases and altitude of an isosceles trapezoid is 36cm. find the altitude if the…

A:

Q: An animal shelter has 160 feet of fencing to enclose two adjacent rectangular playpenareas for dogs.…

A: Sketch the adjacent rectangular playpen areas for dogs as shown below.

Q: You want to build a pen in the shape of a rectangle with two interior divisions. If you have 1000 m…

A:

Q: the perimemter of a rectanlge is 44.8 ft what choice of length of this side will maximize the area…

A:

Q: Glenview Community College wants to construct a rectangular parking lot on land bordered on one side…

A: Given : Let x be the width of the lot, and 380-2x be the length.  The area of the rectangular is…

Q: Find the length and width of a rectangle with perimeter 40 and maximum area. Length and width are?

A: Given: Perimeter of the rectangle is 40. To find: Length and width and maximum area of the…

Q: 2) Angelina is building a garden in the centre of her backyard as shown. She has 46 m of fencing…

A:

Q: A farmer wishes to enclose a rectangular region bordering a river, using 960 feet of fencing. What…

A:

Q: A man wants to construct a rectangular enclosure around his model railroad. Only three sides must be…

A: Ans. Let the length of enclosure is x &             width of enclosure is y

Q: the volume of a rectangular box is 46cm^3, find the side lengths that minimize surface area

A: Please see the explanation below..

Q: Pedro wishes to use 100ft of fencing to enclose a rectangular garden. Determine the maximum possible…

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Q: what is the minimum perimeter that a rectangle with an area of 32 ft2 can have?

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Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: A rectangular dog pen is constructed using a barn wall as one side 66 meters  of fencing for the…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Mr. Raymundo has enough materials to fence 90 meters. What are the dimensions of the rectangular lot…

A: Let the length and width of the rectangle be x and y. Then the perimeter of the rectangle is = 2x+y…

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: Both these questions can be solved by applying the concept of maxima and minima.

Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: You want to frame a collage of pictures with a 9-ft strip of wood. What dimensions will help you…

A: Let us assume that the frame is rectangular and the length be x and width be y. The perimeter of the…

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=/144- x2 with the largest…

A:

Q: (EX) Max wishes to enclose a rectangular garden, using one side of his house as shown below. What is…

A: We use second derivative test to find out dimensions of rectangular garden have maximum area

Q: A high school is planning to build a new playing field surrounded by a running track. The track…

A: Given:-total length of running tracktwo laps= 1000 mlet, length of the rectangular infield area=L…

Q: A farmer has 20 feet of fencing, and he wishes to make from it a rectangular pen for his pig Wilbur,…

A: Let, width= x, length = y So, total fence needed= 2x+y=20 feet  y= 20-2x

Q: You have 600 ft of fencing material to construct a rectangular pen for cattle. What are the…

A: Draw diagram.for.pen

Q: Engr. Lagrazon wants to build a farm using a fence but already have an existing wall. He has 60m of…

A:

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: A rancher has 308 feet of fencing with which to build a rectangular corral along side an existing…

A: Maximization problem

Q: a triangular sail is 9m taller than it is wide. its area is 56m. what is its base and height

A:

Q: A rectangular tile has a length of 4X cm and width (x+3) cm. The area of a reactangle is less than…

A: Area of rectangle

Q: A company needs to build a warehouse with perimeter 300 ft. Find the dimensions to give maximum…

A:

Q: You are given a rectangular piece of paper that has length x=35.4 cm and height y=28 cm. The lower…

A: Since, we have been given a rectangular piece of paper that has lengthx=35.4 cm and height y=28 cm.…

Q: The principal of a private elementary school wants to contruct a rectangular garden. She wants it to…

A: To Determine: The principal of a private elementary school wants to construct a rectangular garden.…

Q: Allora has 264 feet of fence, a spacious yard, and a little dog. He wants to set up a rectangular…

A: Rectangle: It is a two dimensional shape with four sides and four vertices. Any two adjacent sides…

Q: A rancher has 1500 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will…

A: Refer to the questionLet the common sides of two rectangular corrals be x then the sketch for the…