Final answer:
To find the dimensions that will give the largest printed area, subtract the margins from the overall dimensions to find the dimensions of the printed area. The largest printed area dimensions are 6 inches by 8 inches.
Step-by-step explanation:
To find the dimensions that will give the largest printed area, we need to determine the dimensions of the printed area and then calculate its maximum value.
Given that the poster has 1-inch margins at the bottom and sides, and a 2-inch margin at the top, we can subtract these margins from the overall dimensions to find the dimensions of the printed area. Let's denote the width of the printed area as 'w' and the height as 'h'.
Therefore, the dimensions of the printed area would be (8 - 1 - 1) inches by (10 - 2) inches, resulting in a width of 6 inches and a height of 8 inches. The area of the printed area is given by the product of the width and height, which is 6 inches x 8 inches = 48 square inches.
So, the dimensions that will give the largest printed area are 6 inches by 8 inches.