In the diagram below,
Q
R
‾
QR
​
is parallel to
N
O
‾
NO
. If the length of
N
O
‾
NO
is the same as the length of
Q
P
‾
QP
​
,
N
P
=
7
NP=7, and
Q
R
=
3
QR=3, find the length of
Q
P
‾
QP
​
. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.