Final answer:
To find the dimensions of the rectangular page that will use the least amount of paper, we need to minimize the total area while still accommodating 52 square inches of print. The dimensions of the page are approximately 7.21 inches by 7.21 inches.
Step-by-step explanation:
To find the dimensions of the rectangular page that will use the least amount of paper, we need to minimize the total area while still accommodating 52 square inches of print. The margins on each side are 1 inch, so we can assume that the length and width of the printed area will be reduced by 2 inches on each side. Let's denote the length of the printed area as L and the width as W.
From this information, we can set up the following equations:
Rewriting the first equation, we have L = W. Substituting this into the second equation, we get (L)^2 = 52. Taking the square root of both sides, we find that L = W = √52 = 7.21 inches.
Therefore, the dimensions of the page that will use the least amount of paper are approximately 7.21 inches by 7.21 inches.