Final answer:
The area of Millie's box is 14.88 square inches as it is 1.2 times larger than Maria's box with an area of 12.4 square inches, which is option b.
Step-by-step explanation:
The correct answer is option b) 14.88 square inches. To find Millie's box area, which is 1.2 times the size of Maria's box, you multiply Maria's area by 1.2:
Maria's Box Area = 12.4 square inches
Millie's Box Area = 12.4 square inches × 1.2
Millie's Box Area = 14.88 square inches
To find the area of Millie's box, we need to multiply the area of Maria's box by 1.2. Given that Maria's box has an area of 12.4 square inches, we can calculate Millie's box's area by multiplying 12.4 by 1.2: 12.4 * 1.2 = 14.88. Therefore, the area of Millie's box is 14.88 square inches.
This calculation demonstrates that when dealing with areas and scale factors, you need to multiply the original area by the square of the scale factor. In this case, the scale factor is 1.2 for comparing Millie's box to Maria's. Thus, the area gets multiplied by 1.2, yielding the area of Millie's box.