The area (A) of a square is given by the formula
, where
is the length of one side. To find the length of one side of the square poster, you'll need to solve this equation for
:
![\[8.5 \, \text{m}^2 = s^2.\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/4ucnztvgbvtckp6j24kxozy8l9hynxqqwp.png)
Now, take the square root of both sides of the equation to isolate \(s\):
![\[s = \sqrt{8.5 \, \text{m}^2} \approx 2.91 \, \text{m}.\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/le62ufv35ezc7w9rpcpjklz4qbcuaiehop.png)
So, each side of the poster is approximately
meters long.