A rectangular board is 1100 millimeters long and 900 millimeters wide. What is the area of the board in square meters? Do not round your answer. Be sure to include the correct unit in your answer.

A. mm
B. m²
C. m³



Answer :

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.