Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

agentx5

Mental Puzzle! ^_^ First, please view this question: http://openstudy.com/study#/updates/500c014fe4b0549a892fe7dc Now my question is this: How many combinations of WHOLE # units are there for the dimensions that can yield that total area? To be clear: No fractions. No roots. No irrationals. No imaginary #'s. Just strictly whole # units, how many combinations are possible? Have at it math people! I look forward to seeing your methods! (please don't just post your combination total, show us what you did to do it)

  • one year ago
  • one year ago

  • This Question is Closed
  1. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    For reference: an isosceles trapezoid with an area of 21540 ft\(^2\) http://mathworld.wolfram.com/IsoscelesTrapezoid.html

    • one year ago
  2. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    Make sense? ^_^

    • one year ago
  3. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    Related example done, to show visually what I mean |dw:1342968040706:dw| 1m * 16m = 16m\(^2\) is also valid, however... 2\(\sqrt{2}\)m * 4\(\sqrt{2}\)m = 16 m\(^2\) gives the right area, sure; but is INVALID for this question, whole units only. \(\sqrt{2}\) isn't a whole number :-)

    • one year ago
  4. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    24 hrs later and nobody has attempted this? :-/

    • one year ago
  5. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    hi agentx5 u mean to find all integers (a,b,h) such that \( (a+b) h=2*21540= 2^3 * 3 * 5 * 359 \)

    • one year ago
  6. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    Err I believe so yes... All positive integers that yield a final area from that formula that is 21540 units\(^2\) :-)

    • one year ago
  7. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm just going to close it in a few if nobody is interested in trying the puzzle, it was more for fun & learning than "an answer for a homework problem" or anything like that. Saw the previous question (see link) and though it would be an interestingly related question. ;-)

    • one year ago
  8. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    it seems we have a nice combination problem workin on it...

    • one year ago
  9. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    oh oh but this is really a Mental Puzzle ; so many answers ; just with letting a+b=359 u have 358 answers...o.O

    • one year ago
  10. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    358? Why one less?

    • one year ago
  11. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    This type of geometrical combination puzzle is the kind the like what security systems use on the new-style touch-screen lockpads for vaults and such. The human user has to remember only a 3D shape, but an algorithm to solve it would be much harder. :-)

    • one year ago
  12. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    nice... and 358 because a,b>0 a=1,2,...,358 consedering symmetry for a and b u have 358 answers

    • one year ago
  13. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    what about h?

    • one year ago
  14. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    The height of the trapezoid?

    • one year ago
  15. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    if u let a+b=359 then there is one valur for height; and that is 3*5*8

    • one year ago
  16. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    value***

    • one year ago
  17. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    number of divisors of area=8*3*5*359 is (3+1)(1+1)(1+1)(1+1)=32 h can be all of them like h=1 or 2 or 359

    • one year ago
  18. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    after chossing 'h' u must find answers for a+b=(area/h) so there are many many answers its better to do it with computer i think ...

    • one year ago
  19. agentx5
    Best Response
    You've already chosen the best response.
    Medals 1

    Alright well I'm impressed at you for giving it the ol' college try :-D ty!

    • one year ago
  20. mukushla
    Best Response
    You've already chosen the best response.
    Medals 2

    yw :)

    • one year ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.