Question
Use Exercise 7 to conclude that when $a$ is a factor of $b$, an $m$ -by-n board has a perfect cover by $a$ -by-b pieces if and only if it has a trivial perfect cover in which all the pieces are oriented the same way.
Step 1
Step 1: Recall Exercise 7, which states that an $m$-by-$n$ board has a perfect cover by $a$-by-$b$ pieces if and only if $mn$ is divisible by $ab$ and there exists a perfect cover in which all the pieces are oriented the same way. Show more…
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