grade 9 mathimathic optimizing
posted by sameul on .
i am lost completly i don't know what to do. please help me!!!!
a farmer is adding a rectangle corral to the side of a barn. the barn will form one side og the rectangle . the farmer has 16 m of fencing to use. conduct an investigation to determine the dimension of the corral with maxium area?
please help me!!

Did you make a sketch?
notice the farmer needs only one length, but two widths.
so 2w + l = 16
make a chart with three columns
one labeled "width", the next one "length" and the third "Area"
now fill it in starting with w=1, then w=2 etc
I see the following entries:
1 14 14
2 12 24
3 10 30
4 8 32 ....
can you see what is happening to the Area? 
after the forth one the area is going backwards from before like 32,30,24?
does that mean 4 by 8 will give the gratest area? 
yes
except you meant to say volume, not area, right? 
isn;t it area becuase the third colmun is area
? 
You all are dumb

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