Suppose that each dimensions of the sheet of paper described in question 1 is increased by one inch. How many inches will the ant travel in this case? Explain your thinking.
In order to answer this question, we need to determine the dimensions of the new sheet of paper after increasing each dimension by one inch. Let's assume the original dimensions of the sheet of paper were 8 inches by 11 inches (as mentioned in question 1).
When we increase each dimension by one inch, the new dimensions of the sheet of paper will be 9 inches by 12 inches.
Now, let's consider the path that the ant travels on the new sheet of paper. Since the ant always walks along the perimeter of the paper, it will now traverse the longer sides of the paper, which have increased by one inch each.
So, the ant will now travel 9 inches for the longer side and 9 inches for the shorter side, resulting in a total distance of 9 + 9 + 12 + 12 = 42 inches.
Therefore, the ant will travel 42 inches on the new sheet of paper when each dimension is increased by one inch.