A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of land border a river. If he has 1000 ft of fencing, write a function, A(w), that models the area of the land, where w represents the side of fencing parallel to the river? What value of w will maximize the area? (In the diagram, the bold line represents the river). What is the maximum area? W

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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4.
A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of land
border a river. If he has 1000 ft of fencing, write a function, A(w), that models the area of the land, where
w represents the side of fencing parallel to the river? What value of w will maximize the area? (In the
diagram, the bold line represents the river). What is the maximum area?
Transcribed Image Text:4. A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of land border a river. If he has 1000 ft of fencing, write a function, A(w), that models the area of the land, where w represents the side of fencing parallel to the river? What value of w will maximize the area? (In the diagram, the bold line represents the river). What is the maximum area?
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