Calc 1
posted by Grant .
A farmer with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

Calc 1 
Grant
Answer is 12250

Calc 1 
Steve
so, is there a question somewhere in there?

Calc 1 
MathMate
What is the largest possible total area of the four pens?
Let x=shorter side of the big rectangle.
and y=long side of the big rectangle
Fence required = 5x+2y=700 => y=3505x/2
Total area of pens
A=xy
=x(3505x/2)
To get the maximum area, we equate dA/dx=0
dA/dx = 3505x = 0, or
x=70
y=3505x/2 = 175
Maximum total area=xy=70*175=12250' 
Calc 1 
Tina
Can someone draw the picture?
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