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?

Rationale

The half area of the rectangle is 12 cm^2.

The area of a rectangle is given by the formula length x width. In this case, the length is 4 cm and the width is 6 cm. So, the area of the rectangle is 4 cm x 6 cm = 24 cm^2. Half of this area is 24 cm^2 / 2 = 12 cm^2.

A (12 cm^2) CORRECT

This is the correct answer because it represents half the area of the rectangle. The total area of the rectangle with length 4 cm and width 6 cm is 24 cm^2. Therefore, half of this area is 12 cm^2.

B (10 cm^2) YOUR ANSWER

This answer is incorrect because it does not represent half the area of the rectangle. To find half the area, the total area (24 cm^2) should be divided by 2, which equals 12 cm^2, not 10 cm^2.

C (24 cm^2) YOUR ANSWER

This answer is incorrect because it represents the total area of the rectangle, not half the area. Half the area of the rectangle is 24 cm^2 divided by 2, which equals 12 cm^2.

D (20 cm^2) YOUR ANSWER

This answer is incorrect because it does not represent half the area of the rectangle. Half the area of the rectangle with length 4 cm and width 6 cm is 12 cm^2, not 20 cm^2.

Conclusion

The area of a rectangle is calculated by multiplying its length and width. Given a rectangle with a length of 4 cm and a width of 6 cm, the total area is 24 cm^2. Half of this area is 12 cm^2. Therefore, the correct answer is 12 cm^2. The other choices incorrectly calculated half the area of the rectangle.

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?

The half area of the rectangle is 12 cm^2.

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