Mango Orchard 83D2D4
1. **Problem statement:** We need to determine if it is possible to create a mango orchard where the length is twice the width and the area is 800 m². If possible, find the length and width.
2. **Formula used:** The area $A$ of a rectangle is given by:
$$A = \text{length} \times \text{width}$$
3. **Given conditions:**
- Length $L = 2W$ (twice the width)
- Area $A = 800$
4. **Substitute length in the area formula:**
$$800 = (2W) \times W = 2W^2$$
5. **Solve for width $W$:**
$$2W^2 = 800$$
$$W^2 = \frac{800}{2} = 400$$
$$W = \sqrt{400} = 20$$
6. **Find length $L$:**
$$L = 2W = 2 \times 20 = 40$$
7. **Conclusion:** Yes, it is possible. The width is 20 meters and the length is 40 meters.