Final answer:
The value of the missing part in the area model for 56 x 29 must be determined by multiplying the corresponding tens and ones places of the numbers. For a different scenario involving scale models, like an 'N' gauge model train display at a county fair, you multiply the model's dimensions by the scale factor to find the real-life size.
Step-by-step explanation:
The student is asking about the value of the missing part in an area model representing the multiplication of 56 by 29. This model would typically break down the multiplication into easier parts that represent the tens and ones places of the numbers being multiplied. Since there is no provided image, an accurate answer can't be generated for the specific missing part. However, to find a missing part in an area model for multiplication, you generally multiply the components of the corresponding sides. For example, if the model is broken down into a section of 50 x 20, another section of 50 x 9, one more of 6 x 20, the missing part would be 6 x 9, because you have to account for all combinations of tens and ones from both numbers (56 and 29).
When using the scale factor to find actual dimensions or areas, like with the model train display, one should multiply the measured dimensions by the scale factor. For the 4 feet by 8 feet model train display at a 1:160 scale, the displayed area represents 640 feet by 1,280 feet in real size, because each foot in the model represents 160 feet in reality (4 x 160 and 8 x 160).