\( \begin{array}{r}10 \text { yd } 22 \text { in. } \\ +\quad 9 \text { yd } 19 \text { in. } \\ \hline\end{array} \)
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To add these two measurements, start by converting everything into inches, since there are 36 inches in a yard. First, convert 10 yards 22 inches: \(10 \text{ yd} \times 36 \text{ in/yd} = 360 \text{ in} + 22 \text{ in} = 382 \text{ in}.\) Then convert 9 yards 19 inches: \(9 \text{ yd} \times 36 \text{ in/yd} = 324 \text{ in} + 19 \text{ in} = 343 \text{ in}.\) Now add them: \(382 \text{ in} + 343 \text{ in} = 725 \text{ in}.\) Next, convert back to yards and inches: \(725 \text{ in} \div 36 \text{ in/yd} = 20 \text{ yd} \text{ with a remainder of } 5 \text{ in}. \) So, the final sum is \(20 \text{ yd } 5 \text{ in. } \)