Answer: 44 feet.
Explanation:
Let s be the side of square area .
Given : Titus wants to fence a square area of his yard for his dogs if you wants the area of the square to be a 121 square feet.
The area of square is given by :-
![A=s^2](https://img.qammunity.org/2019/formulas/mathematics/high-school/4ll0iy8dtque2vihef9kxw7s6fclhj3qdf.png)
i.e.
![s^2=121](https://img.qammunity.org/2019/formulas/mathematics/college/t01f5e1rspg0m9ifzaogx0mpgbd8ttf2qp.png)
Taking square root on both sides, we get
![s=11](https://img.qammunity.org/2019/formulas/mathematics/college/abt8d25tnvwdzzflg2ja2eug8x5nos0ixl.png)
The perimeter of square is given by :-
![P=4s](https://img.qammunity.org/2019/formulas/mathematics/college/nai0wmjxm78c3sjuey5ui9xbvupqv2jkbk.png)
i.e.
![P=4(11)=11\text{ feet}](https://img.qammunity.org/2019/formulas/mathematics/college/n5h9mdl0zammqcveqqwz28b5pez2ofb2tu.png)
Hence, the perimeter of the square need to be 44 feet.