Given a rectangular garden with perimeter of 31.20m, determine the maximumpossible area, AND the dimensions of the garden that would produce the maximumarea.FormatBIU...</>Record VideoAdd a FileRecord AudioQuestion 2 (5 points)A rectangular section of a field is to be fenced. Because one side of the field isbordered by a creek only 3 sides need to be fenced.

Answered: Image /qna-images/answer/3e0fdbdc-25ad-4020-9dd6-bb190ff45356.jpg

Answered: Given a rectangular garden with…

Given a rectangular garden with perimeter of 31.20m, determine the maximum possible area, AND the dimensions of the garden that would produce the maximum area. В I U Format ...

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section: Chapter Questions

Problem 40CLR

See similar textbooks

Related questions

Q: The volume of an open box with a square base is 4000 cm3. Find the dimensions of the box if the…

A: Given that volume =4000cm3 find the dimensions of the box that minimize the amount of material used…

Q: Determine the Maximum area of a rectangle lot that can be created with a 1000m length of fencing…

A: Given: Length of fencing is 1000m We know that fencing means boundary Let x, y be the length and…

Q: dimensions

A: Please refer to the image below

Q: Find the longer dimension of the rectangle enclosed in a semicircle y=V144- x2 with the largest…

Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: what are the dimensions of the right hexagonal prism of minimum surface whose volume is 36 cubic…

A: This is a problem of optimization.

Q: a. A rectangular pen is built with one side against a barn. If 2500 m of fencing are used for the…

A: Note: According to Bartleby guidelines; For more than one question asked only the first one is to be…

Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…

Q: According to postal regulations, a carton is classified as “oversized” if the sum of its height and…

A: Assume a be the side length of the square base,h be the height of the carton and V be the volume of…

Q: A rectangular prism has a height of 11.5 inches, a length of 9.6 inches, and a width of 2.10 inches.…

Q: Find the minimum cost of a rectangular box of volume 180 cm3 whose top and bottom cost 8 cents per…

A: Cost can be minimised by finding out the partial derivatives

Q: composed

Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: The Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a…

A: Let dimension of tank be a*a*hBase area=a*a=a2height of tank=hgiven, volume=32+t3 a2h=32…

Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

Q: 1.) pedro wishes to use vooft of fencing to enciose a Rectangular garolen. Determine the Maximum…

Q: Construct a window whose middle is a rectangle and the top and bottom of the window are…

Q: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Let x be the width and y be the length of the rectangle.From the given statement, the three side…

Q: A poster is to contain 300 cm? of printed matter with margins of 10 cm at the the top and bottom and…

A: Assume some variable to be length and breadth of the poster then find its area. Derivative of area…

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: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

A: First make the equation of area in terms of breath or length then diffrenciate for maximum area .

Q: Find the minimum cost of a rectangular box of volume 180 cm³ whose top and bottom cost 4 cents per…

Q: If a closed tin can of volume 16x cubic inches is to be in the form of a right circular eylinder,…

Q: A square-based prism has a volume of 8000 mm3 . What are the dimensions of the prism for the minimum…

A: Consider a square-based prism which has a volume of 8000 mm3. The objective of the problem is to…

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

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

Q: A farmer with a 27 m fence wants to enclose a rectangular area and divide it into three corrals,…

A: I am attaching image so that you understand each and every step.

Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles triangle whose perimeter is 18 inches.

Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins. What…

A: Given volume of the can is (128)πcm3 Let height=h radius=x

Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,100 feet of fencing…

Q: Find the dimension of the rectangular corral producing the greatest enclosed area given 200 meters…

Q: A box with no top has a square base. If 64 squared centimeter of material is used, what is the…

A: A box with no top has a square base and 65 cm^2 of material is used

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

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

Q: A carpenter is building a rectangular room with a fixed perimeter of 392 ft. What dimensions would…

A: Let l & b be the length and breadth of the room

Q: what is the maximum possible volume of rectangle box with the sum of it is 12 edges 24cm

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area Perimeter:…

Q: Find the dimensions of a rectangle with area 100 m? whose perimeter is as small as possible? Find…

A: to find:- dimensions of the rectangle. minimum perimeter.

Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins. What should…

A: Use application of derivative concept. volume of cylinder and total surface area of cylinder…

Q: If the farmer has 648 feet of fencing, what are the dimensions of the region which enclose the…

A: x = length of the rectangle y = width of the rectangle fencing =648 ft hence 2x + 3y = 648 x…

Q: A rancher has 244ft of fencing with which to build a rectangular corral alongside an existing fence.…

Q: Of all rectangles with a perimeter of lo meters, which one has the maximum area? (GIve both the…

Q: A rancher has 480 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Total fencing needed in that given picture is= x+x+x+x+y+y+y=4x+3y Given that the rancher has 480…

Q: A fencing is limited to 50m length. What is the maximum rectangular area that can be fenced in using…

A: Recall: Area of rectangle=length*breadth

Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of a…

Q: A cardboard box without a lid must have a volume of 4m³. - Determine the dimensions that minimize…

Q: Of all rectangles with area 64, which one has the minimum perimeter?

A: It is required to find the dimensions of rectangle having area 64 units which will have a minimum…

Question

100%

Given a rectangular garden with perimeter of 31.20m, determine the maximum
possible area, AND the dimensions of the garden that would produce the maximum
area.
Format
BIU
...
</>
Record Video
Add a File
Record Audio
Question 2 (5 points)
A rectangular section of a field is to be fenced. Because one side of the field is
bordered by a creek only 3 sides need to be fenced.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Find the dimensions of a triangle whose width is four more than six times its height and has an area of 208 square inches.
A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing only on three sides. Find the length and width of the plot that will maximize the area.
Find the image of the square in Example 6 after a vertical stretch by a factor of k=2.
A hole has a diameter of 24.649mm 0.004mm+0.002mm . What are the maximum and minimum diameters of the hole?
At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?