Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle. a. Given that the total length of the fence is 90 m, present an illustration of the problem. b. Show that the area, A, is given by the formula A = y(90 – 2y), where y is the distance from the house to the end of the garden. Given that the area is a maximum for the length of this garden, find the dimensions of the enclosed garden and the area which is enclosed. c. Solution:
Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle. a. Given that the total length of the fence is 90 m, present an illustration of the problem. b. Show that the area, A, is given by the formula A = y(90 – 2y), where y is the distance from the house to the end of the garden. Given that the area is a maximum for the length of this garden, find the dimensions of the enclosed garden and the area which is enclosed. c. Solution:
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
Related questions
Question
![Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side
of the rectangle.
Given that the total length of the fence is 90 m, present an illustration of the problem.
b. Show that the area, A, is given by the formula A =
from the house to the end of the garden.
Given that the area is a maximum for the length of this garden, find the dimensions of
the enclosed garden and the area which is enclosed.
а.
y(90 – 2y), where y is the distance
с.
Solution:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff98ad4f-afb1-4b48-a96e-18db8adb8eca%2Ff2f76428-1729-465b-a3a5-b9fb74cb1fb9%2Fylw8kl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side
of the rectangle.
Given that the total length of the fence is 90 m, present an illustration of the problem.
b. Show that the area, A, is given by the formula A =
from the house to the end of the garden.
Given that the area is a maximum for the length of this garden, find the dimensions of
the enclosed garden and the area which is enclosed.
а.
y(90 – 2y), where y is the distance
с.
Solution:
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra for College Students](https://www.bartleby.com/isbn_cover_images/9781285195780/9781285195780_smallCoverImage.gif)
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Algebra for College Students](https://www.bartleby.com/isbn_cover_images/9781285195780/9781285195780_smallCoverImage.gif)
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Algebra](https://www.bartleby.com/isbn_cover_images/9780998625713/9780998625713_smallCoverImage.jpg)
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning