Answer:
232
Step-by-step explanation:
Since the polygon is regular, each side of the polygon is equal
[tex]x + 7 = \frac{4}{3} x - \frac{1}{3} [/tex]
[tex]7 = \frac{1}{3} x - \frac{1}{3} [/tex]
[tex] \frac{22}{3} = \frac{1}{3} x[/tex]
[tex]x = 22[/tex]
This means each side is worth
[tex]22 + 7 = 29[/tex]
or
[tex] \frac{4}{3} x - \frac{1}{3} = \frac{87}{9} = 29[/tex]
There is 8 sides so the perimeter is
[tex]29 \times 8 = 232[/tex]
