Final answer:
To identify the 2x2 squares that can cover the rectangle with dimensions 72 and 108, find the common factors of 72 and 108 and use them to determine the dimensions of the squares.
Step-by-step explanation:
To identify all the 2x2 squares that can be used to cover the rectangle with dimensions 72 and 108, we need to find the common factors of 72 and 108. The common factors of 72 and 108 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. We can use these common factors to determine the dimensions of the squares that can be used to cover the rectangle.
For example, if we choose the common factor 2, we can create a 2x2 square by dividing the dimensions of the rectangle by 2. This would give us a square with dimensions 36 and 54, which can be used to cover the rectangle.
Similarly, we can choose other common factors to create different 2x2 squares that can cover the rectangle.