You have 100 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.Note: The length of the sum of three sides is 100. Let w be the width, find the length in terms of w,setup an equation for the area, then find the vertex (maximum) of your equation. Area of a rectangle is length * width.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...
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You have 100 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.
Note: The length of the sum of three sides is 100. Let w be the width, find the length in terms of w,
setup an equation for the area, then find the vertex (maximum) of your equation. Area of a rectangle is length * width.

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