Select the correct answer.
`64 dim^(2) = …………… " decametre"^(2)` here, dim = decimetre

Options

A. 6400
B. 0.0064
C. 0.00064
D. 6.4E-5

Answer

To solve the question, we need to convert 64 square decimeters (dim²) into square decameters (dam²).

### Step-by-Step Solution:

1. **Understand the Units**:
- 1 decameter (dam) = 100 decimeters (dm).
- Therefore, 1 decameter squared (dam²) = (100 decimeters)² = 10,000 square decimeters (dm²).

2. **Set Up the Conversion**:
- We need to convert 64 dm² into dam².
- Let \( x \) be the number of square decameters equivalent to 64 square decimeters.
- We can express this relationship as:
\[ 64 \, \text{dm}^2 = x \, \text{dam}^2 \]

3. **Use the Conversion Factor**:
- Since 1 dam² = 10,000 dm², we can write:
\[ x \, \text{dam}^2 = \frac{64 \, \text{dm}^2}{10,000 \, \text{dm}^2/\text{dam}^2} \]

4. **Calculate the Value of \( x \)**:
- Rearranging gives:
\[ x = \frac{64}{10,000} \]
- Simplifying this:
\[ x = \frac{64}{10^4} = \frac{64}{10000} = 0.0064 \, \text{dam}^2 \]

5. **Final Answer**:
- Therefore, \( 64 \, \text{dm}^2 = 0.0064 \, \text{dam}^2 \).