6 1/2 width 4 1/2 height
Byron 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 Byron's reasoning is that he multiplied the width and height instead of adding them to find the area of the rectangle.
The correct way to calculate the area of a rectangle is to use the formula: Area = length x width.
Given that the width is 6 1/2 and the height is 4 1/2, the correct calculation would be:
Area = 6 1/2 x 4 1/2
Area = 13/2 x 9/2
Area = 117/4
Area = 29.25 square centimeters
Therefore, the correct area of the rectangle is 29.25 square centimeters.