Which expression represents the perimeter of the rectangle above? (3x-3) (3x-1) a. 6x+2 b. 12x-8 c. 6x-4 d. 12x+2

Perimeter of rectangle is calculated by taking the sum of all the sides of the rectangle. In rectangles the 2 opposite sides are equal

length - 3x - 1

breadth - 3x - 3

the formula used to calculate perimeter for rectangle

perimeter = (2 x length) + (2 x breadth)

substituting length and breadth

perimeter = {2 x (3x - 1) } + {2 x (3x - 3) }

= 6x - 2 + 6x - 6

= 12x - 8

therefore correct answer is

b. 12x-8

{ (3x-3) + (3x-1) }*2 = (6x-4) * 2 = 12x-8

so b is correct.