Excluding rotations, 2, plus a square.
2 rectangles? Maybe
No. All rectangles are not square because 2 of the sides are longer while the square's side is all the same size.
Four per square, four per rectangle.
No, 2 is neither a perfect square nor a perfect cube.
SQUARE
To be a perfect square, a number must have a square root that evaluates to an integer. The square root of 2 is approximately equal to 1.414, thus it is not a perfect square.
All squares are rectangles, but not all rectangles are squares. Basically, a square is a rectangle where all sides are the same length. However, providing that the width is half of the length, or vice versa, and you join the two rectangles along the one of the sides that is longer, two rectangles can make a square. Example: 1x2 rectangle joined with another 1x2 rectangle will make a 2x2 square.
Rectangles and Rhombuses (if they are not also a square)
Rectangles and Rhombuses (if they are not also a square)
There are 36 rectangles of various sizes formed by a 9-rectangle grid. The most obvious are the smallest (9) and the largest (1), but any 2, 3, 4, or 6 adjacent rectangles can form other rectangles.
There is no limit to the number of perfect squares. To find a perfect square, you simply need to pick a number and square it. E.g. 7^2=49, so 49 is a perfect square. As there is infinitely many numbers to pick, and as the larger a number the larger it's square, there are infinitely many perfect squares and they just keep on getting larger!