Results 1 to 6 of 6

Math Help - Approximation Based on Area

  1. #1
    Newbie
    Joined
    Jul 2011
    Posts
    3

    Approximation Based on Area

    Hey Fellows,

    I am having trouble coming up with a solution of a problem related to area, popoulation, and Number of Houses. So here's what I am trying to do.

    I have:
    Area of a City
    Population of a City
    Number of Buildings in a City

    Based on this information I want to approximate few scenarios based on flooding. Lets say the city is flooded and significant portion of the city is under water. I know how much area is lost due to flooding. So how can I then approximate the number of people who are affected and number of buildings which are under water? Is there any mathetical name for problem as such, and what kind of formula, function or method would you recomend?

    Any help will be appreciable.

    Regards.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Jul 2011
    Posts
    17

    Re: Approximation Based on Area

    Should be able to do a fairly straightforward process to solve this one. If you assume that people and buildings are evenly distributed though-out your area, then you can take the percentage flooded times the total number of buildings and people to figure the amount lost. Since people and buildings cluster together, it would likely improve your result to treat the areas differently. If you know enough about it, can you separate the area into (maybe) three area types (dense, moderate, sparse) and weight them accordingly (still summing to your original number)? If so, use the exact same method but weight accordingly. Hope this helps.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2011
    Posts
    3

    Re: Approximation Based on Area

    Thank you for your prompt reply. Lets see if I understand fully what you suggested.
    So lets say the Area of the City is 100 Km2, population is 500, and 75% of the area is lost. So I am multiplying 75% with 500 to get 350?
    If so what do we call this method as I will have to state this in the methodology.

    Cheers!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jul 2011
    Posts
    17

    Re: Approximation Based on Area

    Looks like you've got it. The area of the city isn't required, since you already know the percentage lost, and you are assuming that people and buildings are an equal distance apart. 75% lost * 500 people = 375 people lost. I don't know what the name of this method would be if it has one. Something like an 'expected weighted value' maybe.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Jul 2011
    Posts
    3

    Re: Approximation Based on Area

    Quote Originally Posted by Will57 View Post
    Looks like you've got it. The area of the city isn't required, since you already know the percentage lost, and you are assuming that people and buildings are an equal distance apart. 75% lost * 500 people = 375 people lost. I don't know what the name of this method would be if it has one. Something like an 'expected weighted value' maybe.
    Yes I meant 375, well thanks a lot for your help.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,812
    Thanks
    117

    Re: Approximation Based on Area

    Quote Originally Posted by SteveCuda View Post
    ...
    If so what do we call this method as I will have to state this in the methodology.
    ... have a look here: Cross-multiplication - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Midpoint approximation for area?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 16th 2011, 04:09 AM
  2. assigning particular value based on x asis
    Posted in the Math Software Forum
    Replies: 5
    Last Post: June 11th 2010, 02:55 AM
  3. commission based pay
    Posted in the Business Math Forum
    Replies: 1
    Last Post: April 13th 2010, 06:41 AM
  4. Replies: 1
    Last Post: April 20th 2009, 04:52 PM
  5. Maths Based Economics
    Posted in the Math Topics Forum
    Replies: 0
    Last Post: March 31st 2009, 03:08 AM

Search Tags


/mathhelpforum @mathhelpforum