Question

Prove that a square can be divided into 1989 squares.

Answer 1

@e.cociuba @TheForbiddenFollower @Thoughts

Answer 2

The trick here is to realize the 1989 squares don't all have to be the same size.

Lets start with a large square. 59 units by 59 units

Draw horizontal and vertical lines one unit from the bottom, and one unit from the right side.
These "strips" can be divided in 59 squares across the bottom. So the corner piece isn't counted twice, there is an additional 58 squares up the side.

Each of these small squares can be divided into 4 squares each 1/2 unit by 1/2 unit

We now have 4 * (58 + 59) = 468 squares, not counting the large space still in the upper left.

Divide this large space into 39 by 39 squares = 1521 squares

1521 + 468 = 1989 squares

Answer 3

Thank you Madam.

Answer 4

^ Source : http://in.answers.yahoo.com/question/index?qid=20110902083429AAMiF3R

Answer 5

Yup! ^^ :)

Answer 6

Some of these can just be looked up! :)

Answer 7

Right!