Question 845912
How shown?  Tutor will take a guess.  Assumption is that partition is parallel to one of the rectangle's sides.


WHOLE rectangle:  x for width, y for length.
{{{2x+2y+y=91}}} and {{{2x+2y=74}}}.


Simplifying those, the system to solve is:
2x+3y=91 and x+y=37;
or same system as
2x+3y=91 and 2x+2y=74 because the simplification on the "74" equation was not needed if Elimination Method is chosen for this system.
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Subtracting perimeter equation from total fencing equation, {{{highlight(y=17)}}} and {{{highlight(x=20)}}}.