Problem
COM-B1-M07-P001 Board of Odd Area
#1
★☆☆☆☆ Level 1 of 5
Can a \(5\times5\) board be tiled by \(1\times2\) dominoes?
Compare the areas.
The board has area \(25\), while each domino has area \(2\). The total area covered by dominoes is always even, so an area of \(25\) cannot be tiled.
Warm-up: area as the simplest invariant.