Final answer:
Rectangle B, which is a scaled copy of Rectangle A with dimensions 8 inches by 4 inches, could have dimensions represented by options b (6 inches by 3 inches) and d (16 inches by 8 inches), as they are the only pairs that maintain the consistent scale factor required for similar rectangles.
Step-by-step explanation:
This is asking us to determine which measurement pairs could represent the dimensions of Rectangle B, which is a scaled copy of Rectangle A, with dimensions 8 inches by 4 inches. To maintain the same shape, known as similar rectangles, the scale factor has to be consistent for both lengths and widths when compared to Rectangle A. We can establish the scale factor by dividing one side of Rectangle B by the corresponding side of Rectangle A. Option a: 15 inches / 8 inches is 1.875 and 11 inches / 4 inches is 2.75. Since the scale factors are not the same, this pair is not a correct scaled copy. Option b: 6 inches / 8 inches is 0.75 and 3 inches / 4 inches is also 0.75. These scale factors match, so this pair is a potential dimension for Rectangle B. Option c: 6 inches / 8 inches is 0.75 and 2 inches / 4 inches is 0.5. As the scale factors do not match, this pair cannot represent Rectangle B. Option d: 16 inches / 8 inches is 2, and 8 inches / 4 inches is also 2. These scale factors are the same, making this pair another potential dimension for Rectangle B. Therefore, the measurement pairs that could be the dimensions of Rectangle B are options b and d.