Answer:
B. 19 feet
Explanation:
Given area of enlarged field =
![576 feet^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pls41n9cu81n1x8frkghlm6qywdnseg3sh.png)
Let the length of the field be x.
Since the field is in square shape so breath is equal to the length that is also x.
∴ Side of the enlarged field =
![(x+5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5ibrs9tq2y0cqlh95okfsb5221bn0gy8bj.png)
We all know that area of square =
![length* breath](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b61jqqzmxyapob657ka9v9meygx3bfgt0v.png)
Now substituting the values we get;
![(x+5)*(x+5)=576\\(x+5)^2=576\\(x+5)^2=24^2\\x+5=24\\x=24-5=19](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qlqg1per4nhrz3e7mw5rbwua771eyy22sw.png)
Hence the side length of the original field was 19 feet.