Answer:
the side length is 30 feet
Explanation:
we are given cost equation as
![C=(n^2)/(5)+175](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mi84lqaw6ikz9w1briwk5iqwytfp2dnupo.png)
where
C is the cost in dollars
n is a side length in feet
we are given
cost is $355
so, C=355
we can set C=355
and then we can solve for n
![355=(n^2)/(5)+175](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lk6oifu7c7bfirsiyaqauulzuzn66o2j2p.png)
we can subtract both sides by 175
![355-175=(n^2)/(5)+175-175](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r4rbhss1rym5orflwp0wzzqaexfd19g0va.png)
![(n^2)/(5)=180](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ifc231ybwjxbapkt1dd38e5w00s7cfejrv.png)
Multiply both sides by 5
![5* (n^2)/(5)=5* 180](https://img.qammunity.org/2020/formulas/mathematics/middle-school/18opikvwxb8d9hiq84i5kldbft1xwvv5e0.png)
![n^2=900](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8o29ywu2ktzjmscl69q1gdrsg1hcqsrsjf.png)
now, we can take sqrt both sides
![n=√(900)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/80lxoxeshoplyrtkkh6zhtbhvtnvm2plvw.png)
![n=30](https://img.qammunity.org/2020/formulas/mathematics/middle-school/48aljkzgjhhcez6r1g3tzkc3eixvwruvvo.png)
So,
the side length is 30 feet