To determine the area of a rectangular room with a given length and width, follow these steps:
1. Calculate the area in square meters (m²):
- Length of the room: 10.5 meters
- Width of the room: 4.50 meters
To find the area in square meters, multiply the length by the width:
[tex]\[
\text{Area in m²} = \text{Length} \times \text{Width} = 10.5\, \text{m} \times 4.50\, \text{m}
\][/tex]
Performing the multiplication:
[tex]\[
\text{Area in m²} = 47.25\, \text{m}^2
\][/tex]
2. Convert the area to square centimeters (cm²):
- It is known that [tex]\(1\, \text{square meter} = 10,000\, \text{square centimeters}\)[/tex].
To convert the area from square meters to square centimeters, multiply the area in square meters by 10,000:
[tex]\[
\text{Area in cm²} = 47.25\, \text{m}^2 \times 10,000\, \text{cm}^2/\text{m}^2
\][/tex]
Performing the multiplication:
[tex]\[
\text{Area in cm²} = 472,500.0\, \text{cm}^2
\][/tex]
Therefore, the area of the rectangular room is:
- [tex]\(47.25\)[/tex] square meters ([tex]\(m²\)[/tex])
- [tex]\(472,500.0\)[/tex] square centimeters ([tex]\(cm²\)[/tex])
