What are the dimensions of a rectangle wvith perimeter 160 cm and the maximum area?What is the maximum area? A farmer is creating a fenced exercise yard for his horses. He has 844 m of flexible fencing andwishes to maxımum area. He is going to fence a rectangular or a circular area. Find the area ofeach figure. Determine which figure encloses the more area and how much more?

Name: What are the dimensions of a rectangle wvith perimeter 160 cm and the
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: What are the dimensions of a rectangle wvith perimeter 160 cm and the maximum area?What is the maximum area? A farmer is creating a fenced exercise yard for his horses. He has 844 m of flexible fencing andwishes to maxımum area. He is going to fence

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

Answered: What are the dimensions of a rectangle…

Math

Geometry

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

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Using your chicken coop as one side and fencing for the other three sides, you will enclose a…

Q: A rectangular park has an area of 40m^{2} . If the length of the park is two meters less than three…

Q: total area of triangle and circle whic is obtained the maximum

A: Length of wire = 100 cm Diameter of circle = d cm

Q: FInd the diemsions of a rectangular box, open at the top, having volume 727cm^3, and requiring the…

A: Let the length, breadth and height of the box be denoted by a, b and h respectively, thenV=a × b × h…

Q: 6.A rectangle has length 2v45 m and width 3v32 m. What is the area of the rectangle? Express your…

A: Given length =245 m, width =332m

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: A farmer is building a rectangular fence around his garden. The area enclosed by the fence is 36…

A: Let the length and width of the fence be l and w respectively. Now find the area and the perimeter…

Q: The number of cars passing a motorway at any time 1 hours is given by the equation - 1?- 61 + 980…

A: As per our policies we should answer one question at a time. so, i am answering only first question.…

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

Q: a rancher wants to build a rectangular pen where one side of the pen is against the barn. the…

Q: 3) Here is a triple integral: TT TT 2 2 3 ||| p² sin(@) dpdedo 0 0 2 Describe the region in space…

Q: How do you solve for the minimum surface area of a sphere that circumscribes a cone in which that…

A: Let R be radius of inner sphere and r be radius of cone. and let h be the height of cone.

Q: A trapezoid has sides where AB and CD are paralells. BC =2 square root 2 m, CD = 6m and angle B is…

Q: A rope of 40cm long is bent into the shape of a rectangle. Find the maximum rectangle area that can…

A: Let the length and breath of rectangle be l and b respectively. If a rope of length 40cm is bent in…

Q: How do I set up? Approximate the area of a regular pentagon of radius 4 cm.

A: To approximate the area of a regular pentagon of radius 4 cm.

Q: Evergreen Gardening is designing a rectangular compost container that will be twice as tall as it is…

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: The dimensIons of awater tank are 13 cm, 10 cm and 70cm. If it is half-filled with water, cal-…

Q: The fence around the garden Mandla would like to erect a fence on all four sides of his new garden…

A: We have to find the shape of garden and cost of fencing.

Topic Video

Question

What are the dimensions of a rectangle wvith perimeter 160 cm and the maximum area?
What is the maximum area?

A farmer is creating a fenced exercise yard for his horses. He has 844 m of flexible fencing and
wishes to maxımum area. He is going to fence a rectangular or a circular area. Find the area of
each figure. Determine which figure encloses the more area and how much more?

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

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

You have 2,400 yards of wire fence material and you wish to enclose a rectangular region to form a dog kennel. Your dog kennel is to have 5 runways to keep each dog separated. What are the outer dimension of the rectangular kennel (length/width) that give maximum area?
A homeowner wants to build a raised rectangular garden bed. The homeowner has enough lumber to create a perimeter of 80 feet. What dimensions (in ft) will create the garden bed of maximum area? smaller side ft= larger side ft =
The area of the circular base of a cone is 25πcm^2 , and the slant height of the cone is four times the radius of the cone. What is the approximate lateral area of the cone? Use π ≈ 3.14. Enter the answer rounded to the nearest whole number.
4 = (8) A manufacturer wants to make an open box of volume V 500 cubic cen- timeters using the least possible amount of material. Find the dimensions of the box.
A landowner has 475 m of fencing material with which to enclose a rectangular space divided into two equal rectangles. The fencing is used to surround the entire region as well as to separate the two rectangles. What is the largest total area that can be enclosed? Maximum area: (sq. m)Length of dividing edge: (m)Width of each rectangle: (m)
find the maximum volume of a rectangular box that a post office will accept for delivery of the sum of its length and girth cannot exceed 108 inches
A landowner has 1200 ft of fencing material with which to enclose a rectangular space immediately next to a building wall. If the building wall does not require any fencing along that edge, what is the largest area that can be enclosed? Maximum area: (sq. ft)Length parallel to building wall: (ft)Length perpendicular to building wall: (ft)