posted by .

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?

• grade 9 mathimathic optimizing -

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 -

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 -

yes
except you meant to say volume, not area, right?

• grade 9 mathimathic optimizing -

isn;t it area becuase the third colmun is area
?

• grade 9 mathimathic optimizing -

You all are dumb

• grade 9 mathimathic optimizing -

25