Results 1 to 4 of 4

Math Help - Roots word problem

  1. #1
    Junior Member
    Joined
    Oct 2007
    Posts
    44

    Roots word problem

    I can't figure out how i need to set up the equation in this problem.

    The Japanese game of Tai Shogi is an expanded version of chess. Like chess, it is played on a square board covered with small squares. If each small square has a side length of 2 cm, the diagonal of the whole board measures \sqrt5000cm. How many squares are on the board?

    Do i have to figure out the ares of the small squares (which is obviously 4) and then do something with that??
    I'm not quite sure how to figure out the amount of individual squares.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by t-dot View Post
    I can't figure out how i need to set up the equation in this problem.

    The Japanese game of Tai Shogi is an expanded version of chess. Like chess, it is played on a square board covered with small squares. If each small square has a side length of 2 cm, the diagonal of the whole board measures \sqrt5000cm. How many squares are on the board?

    Do i have to figure out the ares of the small squares (which is obviously 4) and then do something with that??
    I'm not quite sure how to figure out the amount of individual squares.
    did you draw a diagram? notice that the diagonal will divide the square board into two right-triangles (note that they will be isosceles
    right-triangles). use Pythagoras' theorem to find the length of either side, then we can take it from there
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2007
    Posts
    44
    OH... YES... you are right..
    drawing a diagram would be the smart thing to do
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Jun 2007
    Posts
    65
    You can also notice that an isosceles right triangle has sides  x, x, x\sqrt{2} and when you get the side lengths don't forget to divide by 2 because each side length is 2.

    LaTeX tip: Put brackets {} around what you want to put in the square root box.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Roots and Zeroes Problem
    Posted in the Algebra Forum
    Replies: 8
    Last Post: April 12th 2011, 08:51 AM
  2. Roots Problem!
    Posted in the Algebra Forum
    Replies: 5
    Last Post: March 13th 2011, 03:26 AM
  3. Characteristic roots problem
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: May 15th 2010, 09:00 AM
  4. Problem with Roots. Confusion.
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 15th 2009, 02:09 PM
  5. A problem with roots
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 12th 2007, 10:23 AM

Search Tags


/mathhelpforum @mathhelpforum