We could have the case where the rectangle is a 7 unit
by 7 unit square and the square is identical to it.
The other cases are below, but in none of them does the
square have sides which are integers, but only the
rectangle.
The rectangle could be 1 unit by 13 units and its
area and the area of the square are both 13 square units.
However, each side of the square is 3.60555128 units which
is not an integer.
The rectangle could be 2 units by 12 units and its
area and the area of the square are both 24 square units.
However, each side of the square is 4.89897949 units which
is not an integer.
The rectangle could be 3 units by 11 units and its
area and the area of the square are both 33 square units.
However, each side of the square is 5.74456265 units which
is not an integer.
The rectangle could be 4 units by 10 units and its
area and the area of the square are both 40 square units.
However, each side of the square is 6.32455532 units which
is not an integer.
The rectangle could be 5 units by 9 units and its
area and the area of the square are both 45 square units.
However, each side of the square is 6.70820393 units which
is not an integer.
The rectangle could be 6 units by 8 units and its
area and the area of the square are both 48 square units.
However, each side of the square is 6.92820323 units which
is not an integer.
Edwin
