grade 9 mathimathic optimizing

posted by .

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!!

  • 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 -

    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 -


Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80ft of fence?
  2. Math

    i am working with completing the square in parabolas and there's this word problem i just cannot solve..a farmer wants to make a rectangular corral along the side of a large barn and has enough materials for 60m of fencing. Only 3 …
  3. math

    A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is …
  4. word problem

    A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80 feet of fence?
  5. math

    Farmer Hodges has 50 feet of fencing to make a rectangular hog pen beside a very large barn. He needs to fence only three sides because the barn will form the fourth side. Studies have shown that under those conditions the side parallel …
  6. Precalculus

    A barn has 150 feet of fencing and there are 3 rectangular corrals of identical dimensions along the back wall of the barn. The sides of each corral are attached to the barn and fencing is not needed along the back wall of the barn. …
  7. pre calculus

    A farmer will be adding a rectangular corral to his barn. He has 600 feet of fencing. The part of the barn that is attached to the corral is 150 feet long. Write a function for the area of the corral, A(x) and include the domain Find …
  8. Calculus

    A farmer has 120 meters of wire fencing to make enclosures for his pigs and cows. The rectangular enclosure he is considering will have one side up against a barn (in the center of one side that is 150 meters long, so the enclosure …

    A horse breeder wants to construct a corral next to a horse barn that is L=20 feet long, using the barn as part of one side of the corral as shown in the figure above. The breeder has 320 feet of fencing available.
  10. Geometry

    A cow is tethered by a piece of rope 50 meters long to the side of a rectangular barn. The rope is fastened to a hook (on the barn) that is located 20 meters from the corner along the longest side of the barn which measures 70 meters …

More Similar Questions