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Answer:
yes
Step-by-step explanation:
Note that [tex]121=11^2[/tex].
The side length of the square with an area of [tex]121=11^2[/tex] will be [tex]\sqrt{11^2}[/tex].
Recall that [tex]\sqrt{a^2}=a[/tex], so the side length is [tex]\sqrt{11^2}=11[/tex]. [tex]11[/tex] is clearly rational because it's an integer, so the answer is [tex]\boxed{yes}[/tex], it is rational.