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10
9
Squares are actually also rectangles so you could make 8 rectangles without touching any of the squares. However, if you could cut the squares, that would be a different problem....
12
There are infinitely many such rectangles.
Assuming that you have to use all the rectangles, you have a few options:1x453x155x9Therefore, you are able to make three different rectangles.
As many as there are different rectangles.
10
You can make three rectangles. Remember that a square can also be a rectangle.5x14x23x3
Assuming the 12 squares are the same size, three. And three more if you count different orientations (swapping length and breadth) as different rectangles.
3
9
13
Infinite amounts.
There are many different quadrilaterals such as squares, trapezoids, rectangles, rhombus and parallelogram.
3 or 6, depending on whether rectangles rotated through 90 degrees are counted as different. The rectangles are 1x12, 2x6 3x4 and their rotated versions: 4x3, 6x2 and 12x1.
No not all rectangles are similar because the proportions are different.