Square Garden
1. **State the problem:** We have a square garden with an area of 140 m². We need to find:
a) The approximate side length of the garden.
b) The length of the fence around the garden (the perimeter).
2. **Find the side length:**
Since the garden is square, the area $A$ is given by:
$$A = s^2$$
where $s$ is the side length.
Given $A = 140$, solve for $s$:
$$s = \sqrt{140}$$
Calculate the square root:
$$s \approx 11.83$$
So, the side length is approximately 11.83 metres.
3. **Find the fence length (perimeter):**
The perimeter $P$ of a square is:
$$P = 4s$$
Substitute $s \approx 11.83$:
$$P = 4 \times 11.83 = 47.32$$
So, the fence length is approximately 47.32 metres.
**Final answers:**
a) Side length $\approx 11.83$ metres.
b) Fence length $\approx 47.32$ metres.