A rectangle has a length of (3x - 1) and a width of (x + 1). Part A Determine the perimeter and area of the rectangle as polynomials.

Area of the rectangle     = 3x² +2x-1

Perimeter of the rectangle   = 8x

Step-by-step explanation:

Given

length = (3x - 1)

width = (x + 1)

Area of the rectangle= length * breadth

Area of the rectangle = (3x - 1)  (x + 1)

                                      = 3x²+ 3x - x-1

                                        = 3x² +2x-1

Perimeter of the rectangle = 2( length + breadth)

                                         = 2[(3x - 1) + (x + 1)]

                                             = 2[3x - 1 + x + 1]

                                          = 2[ 4x]

                                             = 8x