To find the number of rectangles that can be formed using 15 squares, we consider the arrangement of squares in a rectangular grid. If the squares are arranged in a rectangular grid of dimensions (m \times n) such that (m \cdot n = 15), the possible pairs are (1, 15), (3, 5), (5, 3), and (15, 1). For each grid arrangement, the number of rectangles can be calculated using the formula (\frac{m(m+1)n(n+1)}{4}). However, without specific grid dimensions, the total number of rectangles depends on how the squares are arranged.
Using all 13 squares, and not counting different orientations, only one.
96 rectangles.
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....
As many as you want.
2
Using all 13 squares, and not counting different orientations, only one.
You could make 5 rectangles with 10 squares
Rectangles and squares both have 4 corners.
96 rectangles.
You need 4 rectangles and two squares * * * * * No, you do not need to have squares: there can be six rectangles - as in a brick shape.
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....
As many as you want.
4 rectangles
2
6
81
None