The square is 6 1/2 cm. and 4 1/2 cm. Bryon calculated the area of the rectangle as 22 square centimeters. What is the error in his reasoning and what is the correct answer?

The error in Bryon's reasoning is that he calculated the area of the rectangle instead of the area of the square. To find the area of a square, you just need to multiply the length of one side by itself.

The correct answer is:
6 1/2 cm x 6 1/2 cm = 42 1/4 square centimeters

Therefore, the correct area of the square is 42 1/4 square centimeters, not 22 square centimeters.