If the area of a plot is 212 square yards, then the area in square feet is :

Question

Accepted Answer

Question: If the area of a plot is 212 square yards, then the area in square feet is :

Options:
1. 636
2. 1272
3. 1908
4. 2120

Correct Answer: Option 3

Explanation:

1. **Conversion Factor**: To convert square yards to square feet, we use the conversion factor that 1 square yard is equal to 9 square feet. This is because 1 yard is equal to 3 feet, and when squared (3 feet x 3 feet), it results in 9 square feet.

2. **Calculation**: Given that the area of the plot is 212 square yards, we can calculate the area in square feet by multiplying the number of square yards by the conversion factor:
   $$
   212 \text{ square yards} \times 9 \text{ square feet/square yard} = 1908 \text{ square feet}
   $$

3. **Justification for Option 3**: The calculation above shows that the area of 212 square yards is equivalent to 1908 square feet. Therefore, Option 3, which states 1908, is the correct answer.

4. **Explanation of Incorrect Options**:
   - **Option 1 (636)**: This option is incorrect because it suggests a conversion factor that is too low. If 212 square yards were converted to 636 square feet, it would imply a conversion factor of approximately 3 square feet per square yard, which is incorrect.
   - **Option 2 (1272)**: This option is incorrect because it suggests a conversion factor that is also too low. It implies a conversion factor of approximately 6 square feet per square yard, which is incorrect.
   - **Option 4 (2120)**: This option is incorrect because it suggests a conversion factor that is too high. It implies a conversion factor of approximately 10 square feet per square yard, which is incorrect.

By following the correct conversion process and using the accurate conversion factor, we confirm that Option 3 is the correct answer.