Answer:
[tex]\huge\boxed{\sf SG = 31}[/tex]
Step-by-step explanation:
Given:
SW = 3x + 1
WA = 6x
AG = x + 6
SW = AG
Required:
Length of SG = ?
Solution:
Given that:
SW = AG
3x + 1 = x + 6
Combining like terms
3x - x = 6 - 1
2x = 5
x = 5/2
x = 2.5
Now,
SG = SW + WA + AG
SG = 3x + 1 + 6x + x + 6
SG = 3x + 6x + x + 1 + 6
SG = 10x + 6
Put x = 2.5
SG = 10(2.5) + 6
SG = 25 + 6
SG = 31
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Peace!
