Answer:
[tex]l_{GE} \approx 8.602[/tex]
Step-by-step explanation:
A rectangle has two pairs of parallel lines of equal length and each line of the corresponding pair are perpendicular to the other. Then, DF = GE. The length of GE is:
[tex]l_{GE} = \sqrt{[4-(-1)]^{2}+[(-8)-(-1)]^{2}}[/tex]
[tex]l_{GE} \approx 8.602[/tex]