We are given that the area of a square is 36 square centimeters. The area of a square is given by the following formula:

Since we are given the area we can replace in the formula:

Now we can solve for the length by taking the square root to both sides:
![\sqrt[]{36}=√(l^2)](https://img.qammunity.org/2023/formulas/mathematics/college/wf271s8zlcnipdnxkyd7yworstjn9kmb5d.png)
Solving the operations we get:

Therefore, the length of the square is 6 cen