To solve this problem, we are given that the area of a square flowerbed is 81 square yards. The formula for the area $A$ of a square is:

$A = s^2$

where $s$ is the length of each side. We can rearrange the formula to solve for $s$ by taking the square root of both sides:

$s = \sqrt{A}$

Substituting the given area:

$s = \sqrt{81} = 9 \text{ yards}$

So, the length of each side of the square flowerbed is 9 yards.

Would you like more details or have any other questions?

Here are five related questions:

1. If the area of a square flowerbed was 100 square yards, what would the length of each side be?
2. How do you calculate the perimeter of a square if you know the side length?
3. If the flowerbed was a rectangle with an area of 81 square yards, what could the possible side lengths be?
4. What is the diagonal of a square with a side length of 9 yards?
5. How does the area change if you double the side length of a square?

Tip: The area of a square increases by a factor of 4 when the side length is doubled!