A farmer has 800 meters of fencing and needs to fence off a rectangular paddock that borders a straight river. He doesn't need to fence along the river. Set up and solve an appropriate optimisation problem to find the dimensions of the paddock that has the largest area.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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A farmer has 800 meters of fencing and needs to fence off a rectangular paddock that borders a
straight river. He doesn't need to fence along the river. Set up and solve an appropriate
optimisation problem to find the dimensions of the paddock that has the largest area.
Transcribed Image Text:A farmer has 800 meters of fencing and needs to fence off a rectangular paddock that borders a straight river. He doesn't need to fence along the river. Set up and solve an appropriate optimisation problem to find the dimensions of the paddock that has the largest area.
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