SOLUTION: A farmer has 120 feet of fencing to be used in the contruction of two identical rectangular pens sharing a common side. Find the dimensions of the pens that will make the total en

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Question 353118: A farmer has 120 feet of fencing to be used in the contruction of two identical rectangular pens sharing a common side. Find the dimensions of the pens that will make the total enclosed area maximum.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

 
Let the area be 

Area = (base)(height)

Base = 
Height = 

Let the area be 



Sum of fencings = 


     
Solve for h







Substitute in











Use the vertex formula for this parabola:



x-coordinate of vertex = 







So the dimensions are 2x by h or 2(15) by 20 or 

30ft by 20ft.



Edwin
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