Final answer:
The area of a rectangle that is 1.8 meters long and 1.5 meters wide is 27,000 square centimeters, following the conversion from square meters.
Step-by-step explanation:
To calculate the area of a rectangle, you use the formula: Area = length × width.
Given that the rectangle is 1.8 meters long and 1.5 meters wide, we first calculate the area in square meters (m²) and then convert it to square centimeters (cm²).
In square meters, the area is:
1.8 m × 1.5 m = 2.7 m².
Now we convert the area to square centimeters.
Since there are 100 cm in 1 meter, to convert square meters to square centimeters, we multiply by 100 cm/m two times (once for each dimension), which is equivalent to multiplying by 10,000 cm²/m² (since 100 cm × 100 cm = 10,000 cm²).
The calculation for the area in square centimeters is:
2.7 m² × 10,000 cm²/m² = 27,000 cm².
This is the answer to the correct number of significant figures, which are three as the original measurements were given to two decimal places.