Final answer:
None of the given options match the calculated area of the printed page for border widths of 1.2 inches and 1.5 inches. The area for 1.2 inch border is 52.46 square inches and for 1.5 inch border is 44 square inches.
Step-by-step explanation:
To find the area of the printed page without the border, we must subtract the border's width from each dimension of the page and then multiply the adjusted dimensions. For a border width of 1.2 inches, we subtract twice the border width from each dimension (since there is a border on each side) to find the dimensions of the printed area:
Width of printed area = 8.5 inches - 2(1.2 inches) = 6.1 inches
Length of printed area = 11 inches - 2(1.2 inches) = 8.6 inches
Area of printed page for 1.2 inch border = 6.1 inches × 8.6 inches = 52.46 square inches.
For a border width of 1.5 inches, we do the same:
Width of printed area = 8.5 inches - 2(1.5 inches) = 5.5 inches
Length of printed area = 11 inches - 2(1.5 inches) = 8 inches
Area of printed page for 1.5 inch border = 5.5 inches × 8 inches = 44 square inches.
Therefore, none of the options provided (a, b, c, d) match the calculated areas for border widths of 1.2 inches and 1.5 inches.