A rectangular field is to be subdivided in 6 equal fields. There is 8150 feet of fencing available. Find the dimensions of the field that maximizes the total area. What is the maximum area ?

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A rectangular field is to be subdivided in 6 equal fields. There is 8150 feet of fencing available. Find the dimensions of the field that maximizes the total area. What is the maximum area ?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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are you familiar with concept of optimization?
not exactly...i was trying create and parabolic function and solve...?
Then you are on the right track

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i have no idea where i went wrong though. how would you do it?
are 6 equal field square?
yes
good
Here is how I would solve it. Since it is equal and square field, I would denote each side as x. by counting I found out that there would be 17 sides
ok
17x=8150 x= each side x^2=area of each field
k
still question?
could you follow through on the next step?
Okay remember that square shape always maximize the area
x=479 x^2=1358
ok

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