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algebra ?

Discussion in 'The Lounge' started by chevyfumes, Nov 11, 2003.

  1. chevyfumes

    chevyfumes Court jester

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    A rectangular goat pen is enclosed by a barn on one side and by 100 feet of fence on the three other sides.The area of the pen is 912 sq. ft.

    a) draw a diagram of the goat pen and then find it's dimentions.

    b) Is ther more than one answer? Does this change the area?



    And hurry up with answers you wankers.... /forums/images/graemlins/1zhelp.gif
     
  2. Stickseler

    Stickseler 3/4 ton status

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    NOt that this helps any but this shape couldn't be a true rectange. Its a trapazoid. If I wasn't on the wifes laptop Id draw it in AutoCAD and give you an answer. All I can say is its shaped like \-/ and I think the area of a trap is (b*h)+(b*h)/2 of the leftover triangles but I could be wrong /forums/images/graemlins/confused.gif
     
  3. chevyfumes

    chevyfumes Court jester

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    I thought paralelagram, but it says rectangle and My wife found an answer, but she was able to create more sq. footage with the same amount of fence....And when I brought that up ,I stumped the sh!t outta her.... /forums/images/graemlins/confused.gif /forums/images/graemlins/smirk.gif
     
  4. outlaw612

    outlaw612 1/2 ton status

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    12 feet wide and 76 feet long
     
  5. heavy4x4

    heavy4x4 1/2 ton status

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    Two sizes:

    1) 2 sides = 38ft, the remaining side = 24ft

    2) 2 sides = 12ft, the remaining side = 76ft

    Both give fence lengths of 100 and square feet of 912.

    Here's how (since your kid will probably need to put that in his/her notebook /forums/images/graemlins/rotfl.gif /forums/images/graemlins/grin.gif)

    Set up these two equations using what you know:
    1) 2L + W = 100
    2) L x W = 912

    From the first equation you can write W = 100 - 2L
    Plug in that W into equation #2 and you get L(100 - 2L) = 912
    Multiply that out and use the quadratic formula.
    That will give you 2 values for L (12 and 38).
    Then you can find W by plugging in your values of L into equation #1.


    You're welcome. /forums/images/graemlins/thumb.gif
     
  6. Ryan B.

    Ryan B. 3/4 ton status GMOTM Winner

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    Daumn.. Right on dude... /forums/images/graemlins/thumb.gif /forums/images/graemlins/pimp1.gif Your too quick.
     
  7. heavy4x4

    heavy4x4 1/2 ton status

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    Oh, and for sh!ts and giggles, the maximum area that can be enclosed by that fence is 1250 sq. ft.

    That's 2 sides 25 feet long and the other side 50 feet. That'll give the lil' guys more area to run around. /forums/images/graemlins/thumb.gif
     
  8. chevyfumes

    chevyfumes Court jester

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    [ QUOTE ]
    Oh, and for sh!ts and giggles, the maximum area that can be enclosed by that fence is 1250 sq. ft.

    That's 2 sides 25 feet long and the other side 50 feet. That'll give the lil' guys more area to run around.

    [/ QUOTE ] Thanks ,we figured it out, and we also figured you can come up with more sq. footage, but what we couldn't figure out is how in the hell you can come up with 2 different amounts of footage, it's like saying by simply changing the shape of your house you can go from 1200 to 2500 sq. feet.... /forums/images/graemlins/confused.gif /forums/images/graemlins/confused.gif /forums/images/graemlins/confused.gif /forums/images/graemlins/rotfl.gif /forums/images/graemlins/rotfl.gif /forums/images/graemlins/rotfl.gifWTF.... /forums/images/graemlins/tongue.gif
     

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