Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
Already signed up?
New to KöMaL?

Problem A. 526. (January 2011)

A. 526. In the Cartesian plane call those regions as strips which are bounded by two parallel lines. Define the width of a strip as the side length of the inscribed squares, with sides being parallel to the coordinate axes. Prove that if finitely many strips cover the unit square 0\lex,y\le1 then the sum of widths of those strips is at least 1.

(5 pont)

Deadline expired on February 10, 2011.


1 student sent a solution.
5 points:Nagy 235 János.

Problems in Mathematics of KöMaL, January 2011