Two maps of the same region have scales $1:a$ and $1:b$. A lake covers an area of $P$ cm$^2$ on the first map and $Q$ cm$^2$ on the second map. Which statement is always true?

• A$a\sqrt{Q}=b\sqrt{P}$
• B$P\sqrt{a}=Q\sqrt{b}$
• C$a\sqrt{P}=b\sqrt{Q}$
• D$\sqrt{aQ}=\sqrt{bP}$

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