Question

A square garden has an area of 205 square feet. What is the approximate length of each side of the garden? What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?

14
103
51
57 ft of fencing
412 ft of fencing
205 ft of fencing
114 ft of fencing

Answer 1

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

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

Given the area of the garden is 205 square feet, we can solve for the length of a side:

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

So, the approximate length of each side of the garden is about 14.32 feet.

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

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

Calculating the perimeter:

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

Therefore, the approximate perimeter of the garden is about 57 feet.

In conclusion:
- Approximate length of each side: **14 feet**
- Approximate perimeter (amount of fencing needed): **57 ft of fencing**