Answer:
The value of x is 1
Step-by-step explanation:
The figure FIHG is a square
we know that
The perimeter of a square is equal to
[tex]P=4b[/tex]
where
b is the length side of the square
we have that
[tex]P=100\ cm[/tex]
[tex]b=FG=(5x+20)\ cm[/tex]
substitute
[tex]100=4(5x+20)[/tex]
solve for x
[tex]100=20x+80\\20x=100-80\\20x=20\\x=1[/tex]
