SOLUTION: a rectangular storage area is to be constructed along the side of tall building, a security fence is required along the remaning three sides of the area. what is the maximum
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Question 164437: a rectangular storage area is to be constructed along the side of tall building, a security fence is required along the remaning three sides of the area. what is the maximum area that can be enclosed with 800 ft of fencing.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the side parallel to the building ft
Then the remaining 2 sides would each be
ft
The area can then be expressed as
This is a parabola which, because the coefficient of
is negative, has a maximum and not a minimum
The maximum is at
The maximum area is 400 ft2
I'll check by finding
If I use the (+) value of the square root, I get too small a value
for , so I'll use the (-) square root
The remaining sides are
each
The error is due to rounding off, I think
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