How many rectangles can you make out of 40 squares?

Answer 1

• All numbers equal to or less than 40.
• Very many:

(One 40 *1 rectangle, two rectangles in 20 ways, three rectangles in a whole bunch of ways , etc)

• If all the squares are to be used and the rectangles are outlines (not filled) then five

1. 19 * 3
2. 17 * 5
3. 15 * 7
4. 13 * 9
5. 11 * 11

• If all the squares are to make a single unbroken and completely filled rectangle and the orientation of the rectangle does not matter then you can make four:

1. 40*1
2. 20*2
3. 10*4
4. 8*5