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
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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?
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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
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OpenStudy (anonymous):
so a square is the way to maximize area and they want the max area