will give any wanted points!! help quick!!

Here , the ratio UV:VW and UT:TS will be in proportion , so ;
[tex]{:\implies \quad \sf \dfrac{UV}{VW}=\dfrac{UT}{TS}}[/tex]
Putting the given values ;
[tex]{:\implies \quad \sf \dfrac{18}{36}=\dfrac{UT}{24}}[/tex]
[tex]{:\implies \quad \sf UT=\dfrac{1}{2}\times 24}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{UT=12 \:\: units}}}[/tex]