Jessica forgot to factor both terms inside the parentheses. She need to divide the fraction by 4.
The correct side length is 6x + 3/13.
We have to determine, the side length of a square garden, but made a mistake:
According to the question,
Jessica's friend find side length of square garden,
[tex]24x\ + \ \dfrac{12}{13}\ =\ 4 \ (6x\ +\ \dfrac{12}{13} \ )[/tex]
The side length of a square garden,
[tex]= 6x + \dfrac{12}{13}[/tex]
To find the error in the solution of her friend given in the following steps,
[tex]= 24x\ + \ \dfrac{12}{13}\ \\\\ = 4 (6x + \dfrac{3}{13}) \\\\Divide \ by \ 4 \ the \ sides\\\\= 6x + \dfrac{3}{13}[/tex]
She forget to divide by 4.
Hence, Jessica forgot to factor both terms inside the parentheses. She need to divide the fraction by 4.
The correct side length is 6x + 3/13.
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