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If a habitat loses 10% of its area each year due to deforestation, how much area

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Question: If a habitat loses 10% of its area each year due to deforestation, how much area will remain after 3 years if it started with 200 hectares?

Options:

  1. 162 hectares
  2. 170 hectares
  3. 180 hectares
  4. 190 hectares

Correct Answer: 162 hectares

Solution: 

After 1 year: 200 - (10% of 200) = 180; After 2 years: 180 - (10% of 180) = 162; After 3 years: 162 - (10% of 162) = 145.8, rounded to 146 hectares.

If a habitat loses 10% of its area each year due to deforestation, how much area

Practice Questions

Q1
If a habitat loses 10% of its area each year due to deforestation, how much area will remain after 3 years if it started with 200 hectares?
  1. 162 hectares
  2. 170 hectares
  3. 180 hectares
  4. 190 hectares

Questions & Step-by-Step Solutions

If a habitat loses 10% of its area each year due to deforestation, how much area will remain after 3 years if it started with 200 hectares?
  • Step 1: Start with the initial area of the habitat, which is 200 hectares.
  • Step 2: Calculate 10% of 200 hectares. This is 200 * 0.10 = 20 hectares.
  • Step 3: Subtract the 10% (20 hectares) from the initial area (200 hectares). This gives 200 - 20 = 180 hectares after 1 year.
  • Step 4: Now, take the new area (180 hectares) and calculate 10% of it. This is 180 * 0.10 = 18 hectares.
  • Step 5: Subtract the 10% (18 hectares) from the area after 1 year (180 hectares). This gives 180 - 18 = 162 hectares after 2 years.
  • Step 6: Take the new area (162 hectares) and calculate 10% of it. This is 162 * 0.10 = 16.2 hectares.
  • Step 7: Subtract the 10% (16.2 hectares) from the area after 2 years (162 hectares). This gives 162 - 16.2 = 145.8 hectares after 3 years.
  • Step 8: Round 145.8 hectares to the nearest whole number, which is 146 hectares.
  • Percentage Decrease – Understanding how to calculate a percentage decrease over multiple time periods.
  • Compound Reduction – Recognizing that the area reduces by a percentage of the remaining area, not the original area.
  • Rounding – Knowing how to round numbers appropriately in the context of area measurement.
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