## Answer :

so they want PR

**J**K

**L**is similar to

**P**Q

**R**

So PR is similar to JL

And they also give us the sides KL and QR

J

**KL**is similar to P

**QR**

Both of those sides are similar, so we can form a proportion.

[tex]\sf { \frac{PR}{JL} = \frac{QR}{KL} }[/tex]

Plug in the numbers:

[tex]\sf { \frac{PR}{6} = \frac{15}{9} }[/tex]

Cross multiply:

[tex]\sf{ PR \times 9 = 6 \times 15}[/tex]

Isolate PR

[tex]\sf{ PR = \frac{6 \times 15}{9}}[/tex]

Simplify it

[tex]\sf{ PR = 10}[/tex]

So your final answer is

[tex]\boxed{\bf{10 centimeters}}[/tex]