Questions: A rectangular board is 1.2 meters long and 0.9 meters wide. What is the area of the board in square millimeters? Do not round your answer.

Solution Steps

To find the area of a rectangular board, multiply its length by its width. Since the dimensions are given in meters, convert the area from square meters to square millimeters by multiplying by \(1,000,000\) (since \(1 \text{ m}^2 = 1,000,000 \text{ mm}^2\)).

The area \( A \) of the rectangular board can be calculated using the formula: \[ A = \text{length} \times \text{width} \] Substituting the given values: \[ A = 1.2 \, \text{m} \times 0.9 \, \text{m} = 1.08 \, \text{m}^2 \]

To convert the area from square meters to square millimeters, we use the conversion factor \( 1 \, \text{m}^2 = 1,000,000 \, \text{mm}^2 \): \[ A_{\text{mm}^2} = A_{\text{m}^2} \times 1,000,000 \] Substituting the area calculated in the previous step: \[ A_{\text{mm}^2} = 1.08 \, \text{m}^2 \times 1,000,000 = 1,080,000 \, \text{mm}^2 \]

Final Answer