Results 1 to 3 of 3
Like Tree2Thanks
  • 1 Post By ADARSH
  • 1 Post By Deveno

Math Help - Oh, Stuart

  1. #1
    Newbie
    Joined
    Aug 2013
    From
    Home
    Posts
    13

    Oh, Stuart

    A rectangular lawn is 40m wide and 60 m long. Stuart mows all the way along the perimeter of the lawn, leaving only 1,500 square meters to be mowed in the center of the lawn. How wide is the strip of lawn that Stuart has already mowed?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Like a stone-audioslave ADARSH's Avatar
    Joined
    Aug 2008
    From
    India
    Posts
    726
    Thanks
    2

    Re: Oh, Stuart

    try making a drawing to start with...

    it will look like two rectangles one inside another

    what are the dimensions of the inner rectangle?

    ------------
    tell us how would you approach it?

    -----------
    area of given lawn (rectangle) = 40 x 60 = 2400 square metres
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,317
    Thanks
    697

    Re: Oh, Stuart

    Some thoughts:

    Suppose the width of the strip is w (in meters). The area of the strip Stuart mows is 2(60w + (40 - 2w)w) = 200w - 4w2 (we have to subtract the "corners" that the mower goes over twice).

    This gives us: 2400 - 200w + 4w2 = 1500. Now let algebra work its magic (one solution won't work...why?).
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum