SOLUTION: A rectangular pen is made with 100m of fencing on 3 sides. The 4th side is a stone wall. Find the greatest area possible for such an enclosure.
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Question 1023610: A rectangular pen is made with 100m of fencing on 3 sides. The 4th side is a stone wall. Find the greatest area possible for such an enclosure.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Perimeter of the fence,
Area enclosed by fence,
Substituting,
Converting to vertex form,
So now in vertex form, the vertex is the maximum (since the quadratic multiplier () is negative).
The maximum area occurs at and is equal to
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