Question

A gardener wants to arrange 1296 plants in rows and columns. If the number of rows and columns of the arrangement is equal, then the number of rows in the arrangement of plants is

• A. 43
• B. 44
• C. 34
• D. 36

Hint:

For arrangements in equal rows and columns, find the square root of the total number to determine the number of rows/columns.

Answer 1

The Correct Option is D

Step 1: Understanding Square Arrangements
When plants are arranged in equal rows and columns, the arrangement forms a perfect square layout. This means the total number of plants is a perfect square number.
Step 2: Defining the Number of Rows and Columns
Let the number of rows = number of columns = \( x \).
Step 3: Writing the Equation
The total plants arranged will be: \[ x \times x = x^2 = 1296. \]
Step 4: Finding \( x \)
To find \( x \), take the square root of both sides: \[ x = \sqrt{1296}. \] Calculate: \[ x = 36, \] since \(36 \times 36 = 1296.\)
Step 5: Conclusion
Therefore, the gardener should arrange the plants in 36 rows and 36 columns.