Results 1 to 2 of 2

Math Help - Mathematical modelling - differentiation, completely stuck!

  1. #1
    gs1
    gs1 is offline
    Newbie
    Joined
    Apr 2010
    Posts
    1

    Mathematical modelling - differentiation, completely stuck!

    Hi, I have been staring at this problem for ages now. I have a feeling I am being completely stupid but I cannot solve it. Help would be much appreciated!

    This is one of the 'harder questions' in the topic of differentiation 2 in Maths AS-Level.

    An equilateral triangle of side length 4cm has a rectangle inscribed in it as shown below:

    (I hopefully attached a diagram I drew)

    Show that the area of this rectangle is 2√3 (2x - x)

    The question goes on to ask to b) find the maximum possible area of the rectangle, and c) what proportion of the triangle is the rectangle in this case? I can handle part b) but I have no idea how to do c) either.

    Thank you!

    Post-Edit: I just realised i think this is in the wrong forum... I am not sure where to put it though.
    Attached Thumbnails Attached Thumbnails Mathematical modelling - differentiation, completely stuck!-14.jpg  
    Last edited by gs1; April 19th 2010 at 10:09 AM. Reason: WRong forum!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jul 2009
    Posts
    68
    c is just \frac{A_{rect}}{A_{triang}}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Really Struggling with Mathematical Modelling
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: April 15th 2011, 12:59 AM
  2. Mathematical Modelling through ODE
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: February 19th 2011, 08:04 PM
  3. I'm completely lost with matrix differentiation.
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: November 14th 2010, 03:06 PM
  4. [SOLVED] Partial derivative. Completely stuck
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 18th 2010, 02:40 AM
  5. Mathematical Modelling
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 16th 2009, 10:39 PM

Search Tags


/mathhelpforum @mathhelpforum