Question 887959
The figure can be understood in either of two ways:


(*) A rectangle of 92 x 40 from which a trapezoid of bases 5 and 92 and height 35 has been removed.  


(*) Two congruent trapezoids and one square; the trapezoids having bases 5 and 40 and of "height" {{{(92-5)/2}}}.


Choose the viewpoint you like and find the perimeter.  The slanted segments are the trickier part.  You already have these known sides:  40, 92, 40(again), and 5.  Next, project a segment from the lower 5 foot segment so it intersects each of the 40 foot sides and identify two congruent RIGHT triangles.  The slanted segment is a hypotenuse.  


Each triangle is of legs {{{(40-5)=35}}}, and {{{(92-5)/2=87/2}}}.
Pythagorean Theorem will give you the hypotenuse distance.


{{{s=sqrt(35^2+(87/2)^2)}}}, and the figure has two of these.