Byron calculated the area of the rectangle as 22 square centimeters. What is the error in his reasoning and what is the correct Answer?
Example:
Length - 6 1/2
Width-4 1/2
Given the length and width provided, the correct formula to calculate the area of the rectangle is:
Area = Length x Width
Area = 6.5 cm x 4.5 cm
Area = 29.25 square cm
Byron's error in his reasoning was that he multiplied the length and width to get 22 square cm instead of 29.25 square cm.
Fraction?
To multiply the fractions 6 1/2 and 4 1/2 to find the area of the rectangle, you can convert the mixed numbers to improper fractions first:
6 1/2 = 13/2
4 1/2 = 9/2
Then, multiply the fractions:
Area = (13/2) x (9/2)
Area = 117/4
Area = 29.25 square cm
So, the correct area of the rectangle is 29.25 square cm. Byron's error in reasoning was indeed multiplying the fractions incorrectly, leading to the incorrect result of 22 square cm.
Can you make the answer into a fraction?
Sure! To express the area of the rectangle 29.25 square cm as a fraction, you can write it as:
29.25 = 29 1/4
Therefore, the area of the rectangle is 29 1/4 square cm, which is equivalent to 117/4 square cm.