Answer: The side length of the smallest square that can be created with these rectangular tiles is 1 inch.
Explanation:
To find the side length of the smallest square that can be created using rectangular tiles measuring 2 inches by 7 inches, we need to determine the greatest common divisor (GCD) of the dimensions. The GCD will represent the common factor that allows us to divide both the length and width evenly.
In this case, the GCD of 2 and 7 is 1, since there are no common factors other than 1.
Therefore, the side length of the smallest square that can be created with these rectangular tiles is 1 inch.