Questions: A rectangular board is 1200 millimeters long and 900 millimeters wide. What is the area of the board in square meters? Do not round your answer.

Solution Steps

To find the area of the rectangular board in square meters, we need to first convert the dimensions from millimeters to meters. Then, we can calculate the area using the formula for the area of a rectangle (length × width).

1. Convert the length from millimeters to meters.
2. Convert the width from millimeters to meters.
3. Calculate the area in square meters.

The length of the board is given as \( 1200 \) mm. To convert this to meters, we use the conversion factor \( 1 \, \text{m} = 1000 \, \text{mm} \): \[ \text{Length in meters} = \frac{1200 \, \text{mm}}{1000} = 1.2 \, \text{m} \]

The width of the board is given as \( 900 \) mm. Similarly, we convert this to meters: \[ \text{Width in meters} = \frac{900 \, \text{mm}}{1000} = 0.9 \, \text{m} \]

The area \( A \) of a rectangle is calculated using the formula: \[ A = \text{Length} \times \text{Width} \] Substituting the values we found: \[ A = 1.2 \, \text{m} \times 0.9 \, \text{m} = 1.08 \, \text{m}^2 \]

Final Answer