Final answer:
The area of the rectangle is calculated using the formula for the area of a rectangle (length × width), giving an area of 12 cm² for the entire rectangle. If only for a specific shaded region, the area would be calculated and then rounded according to significant figures.
Step-by-step explanation:
The question involves finding the area of a shaded region on a rectangle with dimensions 2 cm by 6 cm. To calculate the area of a rectangle, the formula is length times width. Since the provided dimensions are for the entire rectangle and not a specific shaded region, we would multiply 2 cm by 6 cm to find the total area of the rectangle, which is 12 cm².
If a specific shaded region were given with other dimensions, such as 0.6238 cm x 6.6 cm, the significant figures for each measurement would potentially alter the result. To calculate this area, you would multiply the two numbers and then round the result to the correct number of significant figures, which in this case is two. If we were to do this calculation, the result would be 4.11708 cm², rounded to two significant figures as 4.1 cm².