A square garden has an area of 205 square feet.

What is the closest approximate length of one of the sides? 13 feet, 105 feet, or 51 feet?

What is the approximate perimeter of the garden to find out how much fencing you would need to go around it? 57 feet of fencing, 412 feet of fencing, 205 feet of fencing, or 114 feet of fencing?

1 answer

To find the length of one side of the square garden, we can use the formula for the area of a square, which is:

\[ \text{Area} = \text{side}^2 \]

Given that the area is 205 square feet, we can find the side length by taking the square root of the area:

\[ \text{side} = \sqrt{205} \approx 14.32 \text{ feet} \]

So, the closest approximate length of one of the sides is 13 feet.

Next, to find the perimeter of the garden, we use the formula for the perimeter of a square, which is:

\[ \text{Perimeter} = 4 \times \text{side} \]

Using the side length we found earlier:

\[ \text{Perimeter} \approx 4 \times 14.32 \approx 57.28 \text{ feet} \]

Therefore, the approximate perimeter of the garden, which indicates how much fencing you would need to go around it, is closest to 57 feet of fencing.