A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 2000 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions? Once you have found the maximum area, what is the length of the shorter side of the rectangular plot, and what is the length of the longer side of the rectangular plot?

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 rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 2000 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?

Once you have found the maximum area, what is the length of the shorter side of the rectangular plot, and what is the length of the longer side of the rectangular plot?

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