Step 1: Square System Explanation.
Trees are positioned at the vertices of a square in this method.
This is the most straightforward approach, ensuring uniform spacing in both directions.
Step 2: Hexagonal System Explanation.
This system involves planting six trees at the vertices of a hexagon, with an additional tree at the center.
This arrangement optimizes the utilization of available space.
Step 3: Density Comparison.
- Square system plant density: 100%.
- Hexagonal system plant density: approximately 35% higher than the square system.
Step 4: Option Analysis.
- Option (1) 50%: Excessively high; does not reflect the actual increase.
- Option (2) 35%: Accurate; the hexagonal system supports roughly 35% more trees.
- Option (3) 15%: Significantly lower than the actual figure.
- Option (4) 75%: Implausibly high.
Step 5: Conclusion.
Consequently, the hexagonal system accommodates approximately 35% more trees than the square system.