We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:
![Area=a^(2)\\141=a^(2)\\a=√(141)=11.874](https://img.qammunity.org/2019/formulas/mathematics/high-school/ns2k39x28xh7d372rsoz33logxxvkfvc1m.png)
We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.
Hence, we can write:
![\text{Amount of fencing}=\text{Perimeter of square}](https://img.qammunity.org/2019/formulas/mathematics/high-school/odkc6gt7xa0eleskzlexy873q29bof2wxb.png)
![\text{Amount of fencing}=4a=4(11.874)=47.496](https://img.qammunity.org/2019/formulas/mathematics/high-school/6n82m31p91oij26egaqpnpk0zoz81b9a2g.png)
Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.