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

`1,165(1)/(3)\ yd`

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(2)/(3)\ yd= 145+(2)/(3)=(437)/(3)\ yd`

substitute in the formula of perimeter

`P=8((437)/(3))=(3,496)/(3)\ yd`

Convert to mixed number

`(3,496)/(3)\ yd=(3,495)/(3)+(1)/(3)=1,165(1)/(3)\ yd`