Final answer:
The area of a rectangle with sides measuring 2.44 cm and 6.077 cm, when calculated and rounded to the proper number of significant figures, is 14.8 cm².
Step-by-step explanation:
To calculate the area of a rectangle with sides measuring 2.44 cm and 6.077 cm, we use the formula for the area of a rectangle, which is the product of its length and width. That is:
Area = length × width
The values given are:
- Length = 2.44 cm
- Width = 6.077 cm
Multiplying these together, we get:
Area = 2.44 cm × 6.077 cm
Using a calculator, the product is:
Area = 14.82788 cm²
To express this value to the proper number of significant figures, we look at the number of significant figures in the given measurements. Since 2.44 cm has three significant figures and 6.077 cm has four, the result should be reported to three significant figures, which aligns with the least precise measurement.
Therefore, the area of the rectangle is 14.8 cm², when rounded to three significant figures.