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Mathematics 12 Online
OpenStudy (anonymous):

Jeremy wants to build 5 identical pig pens, side by side, using 32m of fencing. determine the dimensions of the enclosure that would give his pigs the largest possible area. calculate this area

OpenStudy (anonymous):

i'm working on it, gimme a sec

OpenStudy (anonymous):

k :)

OpenStudy (anonymous):

|dw:1339632638899:dw| so looking at this, you have 6x+10y = 32

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

shouldnt they all be squares though so every part is the same length?

OpenStudy (anonymous):

well i don't think you know that all the sides are the same length or do you?

OpenStudy (anonymous):

well if you want to give the biggest possible area, shouldnt the pens be squares?

OpenStudy (anonymous):

in that case every fence would be 2 meters and the solution is actually really easy

OpenStudy (anonymous):

i would say yes... i', just scared to make that assumption, let me double check

OpenStudy (anonymous):

a 3x3 fence has a bigger area than a 2x4 both use 6m of fence

OpenStudy (anonymous):

so a square is the way to maximize area and they want the max area

OpenStudy (anonymous):

ok true :) you have it then :D

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