A cattle rancher wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see figure below). There are 880 feet of fencing available to complete the job. What is the largest possible total area of the three pens?

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 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...
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A cattle rancher wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see figure below). There are 880 feet of fencing available to complete the job. What is the largest possible total area of the three pens? 

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