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The problem states:

- The fire's area increases by 11% each hour.
- The current area is 38 m².
- We need to find the area after 20 hours, given that the fire continues to grow at the same rate.

This is a compound growth problem. The formula for compound growth is:

\[
A = P \times (1 + r)^t
\]

Where:
- \( A \) is the area after time \( t \),
- \( P \) is the initial area (38 m²),
- \( r \) is the growth rate (11% = 0.11),
- \( t \) is the time in hours (20 hours).

Let's calculate this step-by-step.After 20 hours, the fire will cover approximately **306 m²**.

Would you like a more detailed breakdown of the steps or have any other questions?

Here are 5 related questions to further your understanding:
1. How does the formula for compound interest relate to exponential growth in nature?
2. What would the fire's area be after 10 hours instead of 20?
3. How would the result change if the growth rate was 5% instead of 11%?
4. How can you calculate the time it takes for the fire to double its area?
5. What real-world factors could affect the actual spread of a fire?

**Tip:** For problems involving percentages, always express the percentage as a decimal in calculations.

The area covered by a fire increases by 11% each hour. Currently, the fire covers an area of 38 m². If the fire continues to spread at the same rate, what area will it cover in 20 hours’ time?

Calculate the area covered by a fire that increases by 11% each hour, starting from 38 m². This problem involves exponential growth, percentage increase, and is suitable for students in Grades 9-10.

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