Question 95
A “deficient tile” is the figure formed from three unit squares shown below, or any rotation or reflection of it.
(a) Can $3\times671$ such tiles cover a $3\times2013$ rectangle completely without overlapping?
(b) Can $5\times671$ such tiles cover a $5\times2013$ rectangle completely without overlapping?
(a) Can $3\times671$ such tiles cover a $3\times2013$ rectangle completely without overlapping?
(b) Can $5\times671$ such tiles cover a $5\times2013$ rectangle completely without overlapping?