A farmer has 70 meters of fencing to use to create a rectangular garden in the middle of an open field. Let l represent the length of the rectangular garden (in meters) and let A represent the area of the garden (in square meters). a. Write a formula that expresses A in terms of l. A = |(35-1) Preview b. What is the maximum area of the garden? (It may help to use a graphing calculator.) 306 square meters Preview c. What is the length and width of the garden that produces the maximum area? • Length: 40 * meters Preview o Width: 40 * meters Preview
A farmer has 70 meters of fencing to use to create a rectangular garden in the middle of an open field. Let l represent the length of the rectangular garden (in meters) and let A represent the area of the garden (in square meters). a. Write a formula that expresses A in terms of l. A = |(35-1) Preview b. What is the maximum area of the garden? (It may help to use a graphing calculator.) 306 square meters Preview c. What is the length and width of the garden that produces the maximum area? • Length: 40 * meters Preview o Width: 40 * meters Preview
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What is the length and width of the garden that produces the maximum area?
Transcribed Image Text:A farmer has 70 meters of fencing to use to create a rectangular garden in the middle of an open field.
Let I represent the length of the rectangular garden (in meters) and let A represent the area of the garden (in square meters).
a. Write a formula that expresses A in terms of l.
А —
|(35-1)
Preview
b. What is the maximum area of the garden? (It may help to use a graphing calculator.)
306
V square meters
Preview
c. What is the length and width of the garden that produces the maximum area?
• Length: 40
* meters
Preview
o Width: 40
* meters
Preview
d. If the farmer instead has 270 meters of fencing to enclose the garden, what fence-length and fence-width will produce the garden with the
maximum area?
• Length: 270
* meters
Preview
o Width: 270
* meters
Preview
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