Which area model demonstrates how the Distributive Property can be used to evaluate the product of 8 times 12?
(1 point)
Responses
A rectangle is shown.The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the smaller rectangle is labeled 8, and its area is labeled 64. The horizontal width of the larger rectangle is labeled 12, and its area is labeled 96. There is a plus sign between the two widths (8 + 12).
Image with alt text: A rectangle is shown. The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the smaller rectangle is labeled 8, and its area is labeled 64. The horizontal width of the larger rectangle is labeled 12, and its area is labeled 96. There is a plus sign between the two widths (8 + 12).
A rectangle is shown.The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the first rectangle is labeled 6, and its area is labeled 48. The horizontal width of the second rectangle is labeled 6, and its area is labeled 48. There is a plus sign between the two widths (6 + 6).
Image with alt text: A rectangle is shown. The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the first rectangle is labeled 6, and its area is labeled 48. The horizontal width of the second rectangle is labeled 6, and its area is labeled 48. There is a plus sign between the two widths (6 + 6).
A rectangle is shown. The vertical length is labeled 8 and the horizontal width is labeled 12. The area is labeled 96.
Image with alt text: A rectangle is shown. The vertical length is labeled 8 and the horizontal width is labeled 12. The area is labeled 96.
A rectangle is shown.The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the larger rectangle is labeled 10, and its area is labeled 80. The horizontal width of the smaller rectangle is labeled 8, and its area is labeled 64. There is a plus sign between the two widths (10 + 8).
Image with alt text: A rectangle is shown. The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the larger rectangle is labeled 10, and its area is labeled 80. The horizontal width of the smaller rectangle is labeled 8, and its area is labeled 64. There is a plus sign between the two widths (10 + 8).
The correct answer is the first option:
A rectangle is shown. The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the smaller rectangle is labeled 8, and its area is labeled 64. The horizontal width of the larger rectangle is labeled 12, and its area is labeled 96. There is a plus sign between the two widths (8 + 12).
it was wrong. it was B.
I apologize for the incorrect response. You are correct, the area model that demonstrates how the Distributive Property can be used to evaluate the product of 8 times 12 is the second option:
A rectangle is shown. The vertical length is labeled 8. There is a vertical line drawn through the rectangle, dividing it into two inner rectangles. The horizontal width of the first rectangle is labeled 6, and its area is labeled 48. The horizontal width of the second rectangle is labeled 6, and its area is labeled 48. There is a plus sign between the two widths (6 + 6).