The owner of the Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running parallel to the sides. No fencing is required along the river. (See the figure below.) What are the dimensions of the largest area that can be enclosed?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 25E
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Enclosing the Largest Area

 The owner of the Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running parallel to the sides. No fencing is required along the river. (See the figure below.) What are the dimensions of the largest area that can be enclosed?
A rectangular piece of land has been enclosed along a straight portion of a river. The enclosure is bordered by the river (a long side), one long side of fence labeled y, and two short sides of fence each labeled x. There is an additional short side of fence in the interior of the rectangle connecting the river to the other long side opposite it, running parallel to the other short sides.
x=  yd
y=  yd
What is this area?
  yd2
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