Question

how many rectangles can go into an area of 500? what are the different ways to make up all the rectangles in an area of 500?

Answer 1

There are 12: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500

There are 24 ways and they are:

1 and 500, 2 and 250, 4 and 125, 5 and 100, 10 and 50, 20 and 25

500 and 1, 250 and 2, 125 and 4, 100 and 5, 50 and 10, 25 and 20