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 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. с. Solution:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
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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 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.
c.
Solution:
Transcribed Image Text: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 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. c. Solution:
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