To calculate the area of the rectangular space that needs to be paved, we first need to find the area in square meters and then convert that to square millimeters.
Step 1: Calculate the area in square meters
The formula for the area \(A\) of a rectangle is:
\[ A = \text{Length} \times \text{Width} \]
Given:
- Length = 17 meters
- Width = 9 meters
\[ A = 17 , \text{m} \times 9 , \text{m} = 153 , \text{m}^2 \]
Step 2: Convert the area from square meters to square millimeters
Since 1 meter = 1000 millimeters, we need to convert square meters to square millimeters:
\[ 1 , \text{m}^2 = (1000 , \text{mm}) \times (1000 , \text{mm}) = 1,000,000 , \text{mm}^2 \]
Now we can convert \(153 , \text{m}^2\) to square millimeters:
\[ A = 153 , \text{m}^2 \times 1,000,000 , \text{mm}^2/\text{m}^2 = 153,000,000 , \text{mm}^2 \]
Conclusion
The area of the paving space in square millimeters is:
\[ \text{Area} = 153,000,000 , \text{mm}^2 \]