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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 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:

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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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:
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:
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