A forest covering 45 km² has a uniform tree density of 250 trees per hectare. How many trees are present in the forest?
Answer
1,125,000 trees
The correct answer is 1,125,000 trees — Multiply the area in hectares by the density: 4,500 × 250 = 1,125,000. (This yields the total number of trees.)
Step-by-step solution
- Convert the forest area from km² to hectares: 1 km² = 100 hectares, so 45 km² = 45 × 100 = 4,500 hectares. (This gives the area in the unit of the density.)
- Multiply the area in hectares by the density: 4,500 × 250 = 1,125,000. (This yields the total number of trees.)
Common mistake: Not converting km² to hectares before multiplying with density
Concept tested: Tree density calculation
Published · How this solution was prepared and checked
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