The distance around the triangle is the perimeter of the triangle.
It is
[tex]2 \, \frac{1}{8} + 3 \, \frac{1}{2} + 2 \, \frac{1}{2} \\ = 2+3+2+ \frac{1}{8} + \frac{1}{2} + \frac{1}{2} \\ = 7 + \frac{1}{8} + 1 \\ = 8 \, \frac{1}{8} [/tex]
Answer: [tex]8 \, \frac{1}{8} \, feet[/tex]