Subjects algebra

Mango Orchard 83D2D4

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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.