Answer:
EG = 16
Step-by-step explanation:
Given: all sides have length 35 inches.
AG + GD = AD
14 + GD = 35
GD = 21
Angles A and D are right angles and are congruent.
Angles AEG and DFG are marked congruent in the figure.
By AA Similarity, triangles EAG and FDG are similar.
The lengths of corresponding sides of similar triangles are proportional.
EG/AG = FG/GD
EG/14 = 24/21
EG/14 = 8/7
7(EG) = 14(8)
EG = 2 * 8
EG = 16
