7. A farmer has 875 meters of fencing material available to fence a rectangular field. She wants to fence the outside border of the field and then add an additional row of fencing to divide the field into two regions of equal area (see diagram to the right). Use calculus to find the dimensions of the original field that maximize its total area, and then find the maximum area. For credit, show all your supporting work, including a function that represents the total area of ly of the original field

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
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7. A farmer has 875 meters of fencing material available to fence a rectangular field.
She wants to fence the outside border of the field and then add an additional
row of fencing to divide the field into two regions of equal area (see diagram
to the right). Use calculus to find the dimensions of the original field that
maximize its total area, and then find the maximum area. For credit, show all
of your supporting work, including a function that represents the total area of
the original field.
y
y
Transcribed Image Text:7. A farmer has 875 meters of fencing material available to fence a rectangular field. She wants to fence the outside border of the field and then add an additional row of fencing to divide the field into two regions of equal area (see diagram to the right). Use calculus to find the dimensions of the original field that maximize its total area, and then find the maximum area. For credit, show all of your supporting work, including a function that represents the total area of the original field. y y
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