Results 1 to 5 of 5

Math Help - Best Fencing Plan

  1. #1
    Member
    Joined
    Nov 2010
    Posts
    97

    Best Fencing Plan

    A rectangular plot of farmland will be bounded on one side by a river and on the other 3 sides by a single-strand electric fence. With 800m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions?

    Another problem I have no idea how to do. Any help is appreciated, thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    Draw a picture, make x be the width of the farmland and y be the length.

    You should find that 2x+y=800 so y = 800-2x

    A = xy = x(800-2x)

    Now solve A'=0
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Nov 2010
    Posts
    97
    Ok, it makes a lot more sense when I draw it out. Just one thing, would the dimensions of it be (200, 400)? Just want to check the work. Thanks for the help.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    2x+y=800

    2(200)+400 = 800

    ;D
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Nov 2010
    Posts
    97
    Quote Originally Posted by pickslides View Post
    2x+y=800

    2(200)+400 = 800

    ;D
    Lol, what the hell was I thinking, dimensions aren't a point. xD
    Thanks for all the help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help on fencing required
    Posted in the Geometry Forum
    Replies: 1
    Last Post: October 1st 2010, 07:23 PM
  2. Optimization problem, fencing
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 25th 2010, 10:14 PM
  3. Yards of fencing
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 27th 2009, 08:38 PM
  4. Replies: 2
    Last Post: March 8th 2009, 04:49 PM
  5. Fencing Anyone???
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: November 1st 2007, 06:53 PM

Search Tags


/mathhelpforum @mathhelpforum