Final answer:
The largest square that can be cut from a rectangle is determined by the smallest dimension of the rectangle.
Step-by-step explanation:
When cutting a square from a rectangle composed of complete small squares, the largest square Manuel can obtain is contingent upon the smallest dimension of the rectangle. The square's size will be limited by the shorter side of the rectangle.
Choosing the smallest dimension is crucial because it ensures the square's size doesn't exceed the limits of the rectangle. If Manuel attempted to cut a square based on the longer side, it would extend beyond the shorter side, leading to incomplete squares or an oversized square.
By opting for the smallest dimension, Manuel ensures the square's sides align with the shorter edge of the rectangle, allowing for the creation of a square utilizing complete small squares without any leftover portions. Therefore, the largest square he can cut will match the length of the smallest side, making option d) The smallest dimension of the rectangle the correct choice.