Answer:
8 inches
Step-by-step explanation:
The computation of the length, in inches of Segment line G prime A prime is shown below:-
Data provided
In two quadrilateral GAME and G'A'M'E',
ME = 35 inches
AM = GE = 56 inches
M'E' = 14 inches
Also, the perimeter of quadrilateral GAME = 167 inches
GA + AM + ME + GE = 167
Now we will put the values into the above equation
GA + 56 + 35 + 56 = 167
GA + 147 = 167
So,
GA = 20 inch
Therefore
GAME is closely related to G'A'M'E'
Now,
By the property of similar figures,
[tex]\frac{M E}{M' E'} = \frac{GA}{G'A'}[/tex]
[tex]G'A' = \frac{M'E'\times GA}{ME} \\\\ = \frac{14\times 20}{35}[/tex]
= 8 inches
