Homework Help: grade 9 mathimathic optimizing

Posted by sameul on Sunday, June 7, 2009 at 3:14pm.

i am lost completly i dont 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!!

grade 9 mathimathic optimizing - Reiny, Sunday, June 7, 2009 at 3:22pm
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?
grade 9 mathimathic optimizing - sameul, Sunday, June 7, 2009 at 3:26pm
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?
grade 9 mathimathic optimizing - Reiny, Sunday, June 7, 2009 at 3:29pm
yes
except you meant to say volume, not area, right?
grade 9 mathimathic optimizing - sameul, Sunday, June 7, 2009 at 3:43pm
isn;t it area becuase the third colmun is area
?
grade 9 mathimathic optimizing - Lida rawf, Friday, February 10, 2012 at 4:43pm
You all are dumb

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