TOT 2006 Fall - Junior A-Level p5 encelope of area 1 of a square of area 1
Source:
February 25, 2020
geometry
Problem Statement
Consider a square painting of size . A rectangular sheet of paper of area is called its “envelope” if one can wrap the painting with it without cutting the paper. (For instance, a rectangle and a square with side are envelopes.)
a) Show that there exist other envelopes. (4)
b) Show that there exist infinitely many envelopes. (3)