Results 1 to 2 of 2

Thread: max area with reptiles

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    16

    Post max area with reptiles

    A herpetologist is designing a rectangular experimental iguana to fit in the 8ft by 20ft corner of a komodo dragon pen. If only 42 feet of fencing is available for the iguana pen, what dimensions should be used to obtain the largest area for the new fence.


    I got the dimensions 20ft by 15ft. I am not sure if that is right. How would all the steps look? I think I skipped one in the end.
    Attached Files Attached Files
    Last edited by hotdogking; Apr 11th 2010 at 07:03 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2010
    Posts
    1,019
    Thanks
    263
    You want to maximize area = length * width with the condition that the amount of fencing = 2 * length + 2 * width - 8 - 20 = 42, so length + width = 35 and width = 35 - length. If you substitute that into the equation for area and set the derivative with respect to length equal to zero, you get the result length = width = 17.5. Unfortunately, that solution is not valid because the equation for the amount of fencing is invalid for this width.

    If the width is 20 or less, the amount of fencing is independent of w, so we should make w the maximum value of 20, which makes the length 15, and your solution is correct.

    If you're still having trouble, please post again in this thread.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. area-preserving maps between regions of equal area
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: Aug 23rd 2010, 08:33 PM
  2. Replies: 3
    Last Post: May 25th 2010, 12:01 AM
  3. Replies: 2
    Last Post: Nov 10th 2008, 09:27 AM
  4. Replies: 4
    Last Post: Apr 20th 2008, 07:03 PM
  5. find area of shaded area (yellow)
    Posted in the Geometry Forum
    Replies: 8
    Last Post: Sep 4th 2007, 08:34 AM

Search Tags


/mathhelpforum @mathhelpforum