Question

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.

Answer 1

Area of the rectangle = 3x² +2x-1

Perimeter of the rectangle = 8x

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