How many rectangles can be made with a perimeter of 10 units

Infinity.

Examples:

a=1 b=2 c=7

a=2 b=2 c=6

a=3 b=5 c=2

a=8 b=1 c=1 etc.

I dont knw

To find the number of rectangles that can be made with a perimeter of 10 units, we need to consider the possible combinations of length and width.

Let's start by listing all the possible values for length and width that add up to 10 units:

Length: Width:
1 8
2 7
3 6
4 5

Now, we can calculate the number of rectangles for each combination. For example, with a length of 1 unit and a width of 8 units, we have one rectangle. Similarly, for a length of 2 units and a width of 7 units, we have another rectangle. This pattern continues for all combinations:

Length: Width: Number of Rectangles:
1 8 1
2 7 1
3 6 1
4 5 1

By summing up the number of rectangles, we find that there are a total of 4 rectangles that can be made with a perimeter of 10 units.