SOLUTION: A rectangular part of a parking lot is to be fenced off to allow some repairs to be done. The workers have fourteen 3-m sections of pre-assembled fencing to use. They want to cr

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Question 1067969: A rectangular part of a parking lot is to be fenced off to allow some repairs to be done.
The workers have fourteen 3-m sections of pre-assembled fencing to use.
They want to create the greatest possible area in which to work.
a) How can the fencing be used to create as large an enclosed area as possible?

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let be the number of width sections they use and be the number of height sections they use,

And the area that they create is,



Complete the square to get the area in vertex form to find the greatest area,


So the maximum area of 49 units occurs when
Then,


and each unit has 9 sq meters (3x3).
So,


and the shape is a square with a side length of 21m.

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