Question 938438

you have a trapezoid.
In a trapezoid, the {{{midline }}} is parallel to the bases and {{{its}}} length is {{{half}}} {{{their}}} sum. 

Find {{{RS}}}: 

the {{{midline }}} {{{XY=22}}}

one of the bases is {{{QP=26}}} (since letter is missing there, I just put {{{P}}} to have line segment {{{QP}}})

other bases is {{{RS}}}

by definition, {{{XY=(QP+RS)/2}}} 

so, substitute given values

{{{22=(26+RS)/2}}}...solve for {{{RS}}}

{{{22*2=26+RS}}}

{{{44=26+RS}}}

{{{44-26=RS}}}

{{{RS=18}}}