5) A rectangle has an area defined by the expression 12x - 32x + 21. (9...

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5) A rectangle has an area defined by the expression 12x - 32x + 21. (9 marks) a) Determine the length and width of the rectangle. Then, draw a sketch. b) Determine the dimensions if x = 12. c) Determine the values of x that will make the area zero. d) A smaller square is cut out of the area of the larger rectangle. The square has side length of (2x + 1). Determine an expression of the remaining area, after the smaller square is removed from the larger rectangle. 5) A rectangle has an area defined by the expression 12x - 32x + 21. (9 marks) a) Determine the length and width of the rectangle. Then, draw a sketch. b) Determine the dimensions if x = 12. c) Determine the values of x that will make the area zero. d) A smaller square is cut out of the area of the larger rectangle. The square has side length of (2x + 1). Determine an expression of the remaining area, after the smaller square is removed from the larger rectangle.