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 60 m, present an illustration of the problem. b. Show that the area, A, is given by the formula A = y(60 – 2y), where y is the distance from the house to the end of the garden. а.

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
icon
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 60 m, present an illustration of the problem.
b. Show that the area, A, is given by the formula A = y(60 – 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.
а.
с.
Solution:
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 60 m, present an illustration of the problem. b. Show that the area, A, is given by the formula A = y(60 – 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. а. с. Solution:
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
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