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Let's examine the problem step by step. The table provides the length and width of the land (in square root values) for 5 different farmers. The problem asks us to verify 4 statements based on this data.

### The table's dataLet's examine the problem step by step. The table provides the length and width of the land (in square root values) for 5 different farmers. The problem asks us to verify 4 statements based on this data.

### The table's 

| No  | Nama Petani  | Panjang \( (\sqrt{\text{m}}) \) | Lebar \( (\sqrt{\text{m}}) \) |
| --- | ------------ | ------------------- | ------------------- |
| 1   | Pak Parman    | \( \sqrt{24} \)     | \( \sqrt{45} \)     |
| 2   | Pak Paidi     | \( \sqrt{48} \)     | \( \sqrt{20} \)     |
| 3   | Pak Soleh     | \( \sqrt{54} \)     | \( \sqrt{32} \)     |
| 4   | Pak Mahmud    | \( \sqrt{72} \)     | \( \sqrt{27} \)     |
| 5   | Pak Yanto     | \( \sqrt{125} \)    | \( \sqrt{50} \)     |

### Verifying the statements:

1. **Panjang lahan Pak Soleh adalah \( 3 \sqrt{6} \) m:**
   - The given length for Pak Soleh is \( \sqrt{54} \).
   - Simplifying \( \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} \).
   - **This statement is TRUE**.

2. **Panjang lahan Pak Paidi ditambah lebar lahan Pak Mahmud adalah \( 9 \sqrt{3} \):**
   - Length of Pak Paidi \( = \sqrt{48} = \sqrt{16 \times 3} = 4 \sqrt{3} \).
   - Width of Pak Mahmud \( = \sqrt{27} = \sqrt{9 \times 3} = 3 \sqrt{3} \).
   - Adding them: \( 4 \sqrt{3} + 3 \sqrt{3} = 7 \sqrt{3} \), not \( 9 \sqrt{3} \).
   - **This statement is FALSE**.

3. **Selisih lebar lahan Pak Parman dengan lebar lahan Pak Paidi adalah \( \sqrt{5} \):**
   - Width of Pak Parman \( = \sqrt{45} = \sqrt{9 \times 5} = 3 \sqrt{5} \).
   - Width of Pak Paidi \( = \sqrt{20} = \sqrt{4 \times 5} = 2 \sqrt{5} \).
   - Difference: \( 3 \sqrt{5} - 2 \sqrt{5} = \sqrt{5} \).
   - **This statement is TRUE**.

4. **Hasil penjumlahan panjang lahan Pak Yanto dan lebar lahan Pak Mahmud adalah \( 7 \sqrt{3} \):**
   - Length of Pak Yanto \( = \sqrt{125} \), not reducible further.
   - Width of Pak Mahmud \( = \sqrt{27} = 3 \sqrt{3} \).
   - \( \sqrt{125} + 3 \sqrt{3} \) is not \( 7 \sqrt{3} \), so it is **FALSE**.

### Conclusion:
- The correct statements are 1 and 3, meaning the correct option is **A (1 dan 3)**.

Would you like more details on any of the calculations or have any questions?

Here are 5 related questions to consider:
1. How do you simplify square roots involving multiplication?
2. What are the steps for adding and subtracting terms with square roots?
3. Can you explain how to handle square roots in both the numerator and denominator?
4. What is the significance of rationalizing a square root?
5. How can square root expressions be used in geometry to calculate area or perimeter?

**Tip**: When working with square roots, try simplifying them into prime factors to make operations easier.

Perhatikan informasi berikut.
Data dari balai desa sebuah desa X tentang ukuran lahan yang dimiliki oleh 5 orang petani yang terkena pelebaran jalan dituliskan dalam tabel berikut.

1) Panjang lahan Pak Soleh adalah 3√6 m
2) Panjang lahan Pak Paidi ditambah lebar lahan pak Mahmud adalah 9√3
3) Selisih lebar lahan Pak Parman dengan lebar lahan Pak Paidi adalah √5
4) Hasil penjumlahan panjang lahan Pak Yanto dan lebar lahan pak Mahmud adalah 7√3

Pernyataan yang benar adalah ...

Select one:
a. 1 dan 3
b. 1, 2, dan 3
c. 2 dan 4
d. Semua benar
e. 4 saja

Explore a problem involving the simplification of square roots and verification of statements about the lengths and widths of land plots owned by farmers. Learn how to add and subtract terms involving square roots, and check the correctness of mathematical statements. Suitable for Grades 7-9.

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