Find the perimeter of the given figure ABCDEF.

Required perimeter of the figure

ABCDEF = AB + BC + CD + DE + EF + FA

= (3x – 2y) + (x + 2y) + (x + 2y) + (3x – 2y) + (x + 2y) + (x + 2y)

= 2(3x – 2y) + 4(x + 2y)

= 6x – 4y + 4x + 8y

= 6x + 4x-4y + 8y

= 10x + 4y

Required expression.