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Home > PC3 > Chapter 12 > Lesson 12.2.1 > Problem 12-107


Horizontal rectangle divided into 3 equal vertical pieces.A rectangular pen is to be constructed with three sections as shown in the diagram at right. If the total amount of fencing available is feet, what is the maximum area that can be enclosed by the fence? 

Label the diagram.

Write an equation for the perimeter and the available feet of fencing. Solve for .

Same horizontal rectangle, top & bottom, each labeled, y, each of the 4 vertical sides & segments, labeled, x.

Write an equation for the area in terms of and .

Substitute the expression for from the perimeter equation into the area equation.

Use your calculator to graph the area function.