Question

How do I solve this question?

Answer 1

As its a rhombus, all sides are of equal length, so 2x +y +1 = x -y  =>   x +1 = -2y            (3x -y -2)/2 = x -y   =>   3x -y -2 = 2x -2y   =>   -y = x -2      
Both equations simultaneously equated =>   2x -4 = x +1   =>   x=5
Plug back in for y   =>   -y = 5 -2 = 3   =>   y = -3
and then the perimeter is 2x +y +1 +x -y + (3x -y -2) = 6x -y -1
6*5 - (-3) -1 = 32 
Perimeter is 32