A rectangle has a length of 2 (x+y) and a width of 3 (x-y) write an expression for the perimeter of that rectangle simplify the expression

The perimeter of a rectangle

= 2 (length) + 2 (width)

= 2[2 (x+y) ] + 2[3 (x-y) ]

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

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

= 10x-2y

= 2 (5x-y)

Hence, the perimeter of the rectangle is 2 (5x-y).