Answer
Yes.
Work Step by Step
We can express the perimeters of
the rectangle: $2x+2y$, and
the triangle: $x+y+(y+1)=x+2y+1.$
So the equations
$2x+2y$ = (perimeter of the rectangle)
$x+2y-1$ = (perimeter of the triangle)
make up a system of two LINEAR equations.
Yes, the statement makes sense