P012 The rectangle

A rectangle is cut into smaller rectangles such that the cuts are parallel to the sides. Each sub-rectangle has the property that at least one pair of parallel sides has integral length.

Prove that the property holds for the original rectangle as well.

Several different proofs are known.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: