This problem involves calculating the area of a damaged section of a floor. We are given the dimensions of the damaged area (0.27 meters by 0.81 meters) and asked to determine the surface area that needs to be repaired. To solve this, we will utilize the formula for the area of a rectangle, which is:...
Area = length × width
Applying the Formula
Let's plug the given dimensions into the formula:
Area = 0.27 meters × 0.81 meters
Calculating this product, we get:
Area = 0.2187 square meters
Interpreting the Result
Therefore, the surface area that Hilario needs to repair is 0.2187 square meters. However, none of the answer choices provided match this exact value. Let's analyze the answer choices to see if we can determine why this discrepancy exists and which answer choice is the closest approximation.
Analyzing Answer Choices
Here are the answer choices, with their relative closeness to the calculated area:
- A) 1.3797 m² (significantly larger than the calculated area)
- B) 0.22380 m² (closest to the calculated area)
- C) 1.6660 m² (significantly larger than the calculated area)
- D) 0.13797 m² (significantly smaller than the calculated area)
It appears that answer choice B) 0.22380 m² is the closest approximation to the calculated area of 0.2187 m². This likely means that there may have been rounding in the calculations leading to the provided answer choices.
Conclusion
While the exact calculated area is 0.2187 square meters, the most reasonable answer among the choices is **B) 0.22380 m²**. It is important to remember that real-world problems often involve estimations and approximations, and answer choices may not always perfectly reflect the exact mathematical solution.