Subjects geometry

Square Garden

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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.