Alright, let's solve this problem step-by-step.
1. Identify the given dimensions:
- The length of the board is 1100 millimeters.
- The width of the board is 900 millimeters.
2. Convert the dimensions from millimeters to meters:
- To convert from millimeters to meters, we need to divide the measurements by 1000 (since 1 meter is equal to 1000 millimeters).
- The length of the board in meters is [tex]\( \frac{1100}{1000} \)[/tex] meters, which is 1.1 meters.
- The width of the board in meters is [tex]\( \frac{900}{1000} \)[/tex] meters, which is 0.9 meters.
3. Calculate the area:
- Area of a rectangle is found by multiplying its length by its width.
- So, the area in square meters is calculated as:
[tex]\( \text{Area} = \text{Length} \times \text{Width} \)[/tex].
- Substituting the values we have:
[tex]\( \text{Area} = 1.1 \text{ meters} \times 0.9 \text{ meters} \)[/tex].
4. Perform the multiplication:
- [tex]\( 1.1 \times 0.9 = 0.99 \)[/tex].
5. State the final answer with the correct unit:
- The area of the board is [tex]\( 0.99 \)[/tex] square meters (m²).
So, the area of the rectangular board is [tex]\( 0.99 \)[/tex] m².
