Answer:
1,800 ft
Step-by-step explanation:
Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).
The equation that describes the internal angle of a regular polygon is:
[tex]A = \frac{(n-2)*180}{n}[/tex]
For A = 160 degrees:
[tex]160n=(n-2)*180\\(180-160)n=360\\n=18\ sides[/tex]
If each side is 100 ft long, the total distance that Rebecca has walked is:
[tex]d = 18*100\\d=1,800\ ft[/tex]
She walked 1,800 ft.
