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

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

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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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

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