Question

Before the celebration for
Groundhog Day, the city
set up an octagonal
barrier around the park. If
each side of the barrier
was 145 2/3 yards long,
how many feet of fencing
were used to create the
barrier?​

Answer 1

Answer:

$1,165\frac{1}{3}\ yd$

Step-by-step explanation:

In this problem we have a regular octagonal barrier (That means that all the length side are equal)

Find out the perimeter of the barrier

The perimeter is equal to

$P=8b$

where

b is the length side of the barrier

we have

$b=145\frac{2}{3}\ yd= 145+\frac{2}{3}=\frac{437}{3}\ yd$

substitute in the formula of perimeter

$P=8(\frac{437}{3})=\frac{3,496}{3}\ yd$

Convert to mixed number

$\frac{3,496}{3}\ yd=\frac{3,495}{3}+\frac{1}{3}=1,165\frac{1}{3}\ yd$