Step 1: Understanding square system.
In the square system, trees are planted at the corners of a square.
This is the simplest method and ensures uniform spacing both ways.
Step 2: Understanding hexagonal system.
In the hexagonal system, six trees are planted at the corners of a hexagon with one tree in the center.
This arrangement makes better use of available space.
Step 3: Density comparison.
- In square system, plant density = 100%.
- In hexagonal system, plant density increases by about 35% compared to square system.
Step 4: Analysis of options.
- (1) 50: Too high, not the correct increase.
- (2) 35: Correct, hexagonal system allows about 35% more trees.
- (3) 15: Too low compared to actual value.
- (4) 75: Unrealistically high.
Step 5: Conclusion.
Thus, hexagonal system allows about 35% more trees than square system.