+399 \(\overline{TR}=20*\frac{2}{5+2}=\frac{40}{7}\).
Set the value of \(\overline{UV}=x\).
\(\because UVQP\sim TRVU\).
\(\therefore \frac{TR}{UV}=\frac{UV}{PQ}\)
\(\therefore \frac{\frac{40}{7}}{x}=\frac{x}{20}\)
\({x}^{2}=\frac{800}{7}\)
\(x=\frac{\sqrt{800}}{\sqrt{7}}=\frac{20\sqrt{14}}{7}\)
