On grid paper, how many different rectangles can you draw with an area of 18 square units? Find the parameters of all possible rectangles.

To find all possible rectangles with an area of 18 square units on grid paper, we can list out all possible combinations of length and width that multiply to 18.

Factors of 18: 1, 2, 3, 6, 9, 18

Therefore, the possible rectangles with an area of 18 square units on grid paper are:
1. Length = 1 unit, Width = 18 units
2. Length = 2 units, Width = 9 units
3. Length = 3 units, Width = 6 units
4. Length = 6 units, Width = 3 units
5. Length = 9 units, Width = 2 units
6. Length = 18 units, Width = 1 unit

So, there are 6 different rectangles that can be drawn with an area of 18 square units on grid paper.