2. Given that area = length x width and a rectangle's length and width are 4 cm and 6 cm, what is 1/2 the area of this rectangle?
Answer: A
1/2 the area of the rectangle is 12 cm².
To find 1/2 the area of the rectangle, first calculate the area using the formula area = length x width. With a length of 4 cm and a width of 6 cm, the area equals 24 cm². Therefore, 1/2 of 24 cm² is 12 cm².
A) 12 cm²
This option is correct because it accurately represents 1/2 of the calculated area of the rectangle. The area is 24 cm², and dividing this by 2 gives 12 cm².
B) 10 cm²
This option is incorrect as it does not reflect the calculations based on the rectangle's dimensions. The area of 24 cm² divided by 2 does not yield 10 cm², thus making this option invalid.
C) 24 cm²
This option is also incorrect because it represents the full area of the rectangle, rather than 1/2 of it. The question specifically asks for half of the area, which is not 24 cm².
D) 20 cm²
This option is incorrect as it does not correspond to any calculation based on the rectangle’s dimensions. The correct half of the area calculated as 12 cm² makes this option invalid.
Conclusion
The correct answer, 12 cm², is derived directly from the area calculation of the rectangle, which is then halved. All other options fail to align with the proper calculations based on the given length and width, confirming that they are incorrect. Thus, 12 cm² stands as the only valid answer.