To build a square garden with an area of $49 \, \text{ft}^2$, we need to determine the length of one side of the square.

Since the area $A$ of a square is given by the formula:

$A = s^2$

where $s$ is the side length of the square, we can find $s$ by taking the square root of the area:

$s = \sqrt{A}$

Given that the area $A = 49 \, \text{ft}^2$:

$s = \sqrt{49} = 7 \, \text{ft}$

So, the side length of the square garden is 7 feet. Now, if Sammy is using a wooden landscaping border, the perimeter of the square garden would be the total length of the border required.

The perimeter $P$ of a square is given by:

$P = 4s$

Substituting the side length $s = 7 \, \text{ft}$:

$P = 4 \times 7 = 28 \, \text{ft}$

Thus, Sammy will need 28 feet of wooden landscaping border to enclose the square garden.

Do you have any questions or would you like further details?

Related Questions:

1. What if Sammy wanted a rectangular garden with the same area?
2. How much additional border would be required if the garden's dimensions increased by 1 foot on each side?
3. What is the diagonal length of the garden?
4. If Sammy uses two types of materials for the border, what could the cost comparison be?
5. How much wood is needed if each section of the border is 3 feet long?

Tip:

When calculating the perimeter of any polygon, remember that it’s the sum of all side lengths, which can differ depending on the shape.