In a park, 784 plants are arranged so that number of plants in a row is same as the number of rows. The number of plants in each row is-

Question

Accepted Answer

To determine the number of plants in each row, we need to understand that the plants are arranged in a perfect square formation, where the number of plants in each row is equal to the number of rows. This means we are looking for a number that, when squared, equals the total number of plants, which is 784.

1. **Explanation for Option 2 (Correct Answer):**
   - The problem states that the number of plants in a row is the same as the number of rows, forming a square. Therefore, we need to find the square root of 784 to determine the number of plants in each row.
   - The square root of 784 is 28, because $28 \times 28 = 784$.
   - Thus, the number of plants in each row is 28, which corresponds to Option 2.

2. **Explanation for why other options are incorrect:**
   - **Option 1 (18):** If there were 18 plants in each row, then the total number of plants would be $18 \times 18 = 324$, which is not equal to 784. Therefore, Option 1 is incorrect.
   - **Option 3 (38):** If there were 38 plants in each row, then the total number of plants would be $38 \times 38 = 1444$, which exceeds 784. Therefore, Option 3 is incorrect.
   - **Option 4 (48):** If there were 48 plants in each row, then the total number of plants would be $48 \times 48 = 2304$, which is much greater than 784. Therefore, Option 4 is incorrect.

In conclusion, the only option that satisfies the condition of having the number of plants in a row equal to the number of rows, resulting in a total of 784 plants, is Option 2, where each row contains 28 plants.