Question

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.

Explanation:

Step1: Convert millimeters to meters

Since 1 meter = 1000 millimeters, for the length: \( 1100\space \text{mm} = \frac{1100}{1000}\space \text{m}= 1.1\space \text{m} \)
For the width: \( 900\space \text{mm}=\frac{900}{1000}\space \text{m} = 0.9\space \text{m} \)

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is \( A = l\times w \), where \( l \) is length and \( w \) is width.
Substitute \( l = 1.1\space \text{m} \) and \( w = 0.9\space \text{m} \) into the formula:
\( A=1.1\times0.9 = 0.99\space \text{square meters} \)

Answer:

\( 0.99\space \text{m}^2 \)