What is the dimensions of all rectangles made with 56 square tiles?

Answer 1

1 by 56, 2 by 28, 4 by 14 and 8 by 7

This is the same as asking for the factor pairs of 56.

56 = 1x56 = 2x28 = 4x14 = 8x7.

You can make four different rectangles.

Answer 2

56 square tiles cannot make a square.

However, if some are left over, 56 square tiles can make:

a 1x1 square with 55 left over; or 56 1x1 squares with none left over

a 2x2 square with 52 left over, or 14 2x2 squares with none left over

a 3x3 square with 47 left over, or 6 3x3 squares with 2 left over

a 4x4 square with 40 left over, or 3 4x4 squares with 8 left over

a 5x5 square with 31 left over, or 2 5x5 squares with 6 left over

a 6x6 square with 20 left over

a 7x7 square with 7 left over.