The length of a rectangular plot of land is 29 `3/7` m. If its breadth is 12 `8/11` m, find its area.

Answer

To find the area of a rectangular plot of land with a given length and breadth in mixed fractions, we can follow these steps:

### Step-by-Step Solution:

1. **Convert the mixed fractions to improper fractions.**
- The length is given as \( 29 \frac{3}{7} \) m.
- To convert this to an improper fraction:
\[ 29 \frac{3}{7} = \frac{29 \times 7 + 3}{7} = \frac{203 + 3}{7} = \frac{206}{7} \text{ m} \]

- The breadth is given as \( 12 \frac{8}{11} \) m.
- To convert this to an improper fraction:
\[ 12 \frac{8}{11} = \frac{12 \times 11 + 8}{11} = \frac{132 + 8}{11} = \frac{140}{11} \text{ m} \]

2. **Use the formula for the area of a rectangle.**
- The area \( A \) of a rectangle is calculated as:
\[ A = \text{Length} \times \text{Breadth} \]
- Substituting the values we found:
\[ A = \frac{206}{7} \times \frac{140}{11} \]

3. **Multiply the fractions.**
- To multiply fractions, multiply the numerators and the denominators:
\[ A = \frac{206 \times 140}{7 \times 11} \]

4. **Calculate the numerator and denominator.**
- First, calculate the numerator:
\[ 206 \times 140 = 28840 \]
- Then calculate the denominator:
\[ 7 \times 11 = 77 \]

5. **Combine the results.**
- Now we have:
\[ A = \frac{28840}{77} \]

6. **Perform the division to simplify.**
- Dividing \( 28840 \) by \( 77 \):
\[ 28840 \div 77 = 374 \]
- Therefore, the area of the rectangular plot is:
\[ A = 374 \text{ m}^2 \]

### Final Answer:
The area of the rectangular plot is **374 m²**.