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 0x,y1 then the sum of widths of those strips is at least 1.
Deadline expired on 10 February 2011.