Question

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 ?

Answer 1

are you familiar with concept of optimization?

Answer 2

not exactly...i was trying create and parabolic function and solve...?

Answer 3

Then you are on the right track

Answer 4

i have no idea where i went wrong though. how would you do it?

Answer 5

are 6 equal field square?

Answer 6

yes

Answer 7

good

Answer 8

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

Answer 9

ok

Answer 10

17x=8150
x= each side
x^2=area of each field

Answer 11

k

Answer 12

still question?

Answer 13

could you follow through on the next step?

Answer 14

Okay remember that square shape always maximize the area

Answer 15

x=479
x^2=1358

Answer 16

ok