Final answer:
The area of the shaded floor of the dog crate is between 3.50 cm² and 3.88 cm².
Step-by-step explanation:
To find the area of the shaded floor of the dog crate, we need to find the area of the rectangular prism's base.
The base is a rectangle with dimensions 1.80 cm and 2.05 cm.
To find the area, multiply the length and width: 1.80 cm x 2.05 cm = 3.69 cm².
However, since the measuring device has an uncertainty of ±0.05 cm, we need to consider the uncertainty.
The maximum area is (1.80 + 0.05) cm x (2.05 + 0.05) cm = 1.85 cm x 2.10 cm = 3.88 cm², and the minimum area is (1.80 - 0.05) cm x (2.05 - 0.05) cm = 1.75 cm x 2.00 cm = 3.50 cm².
Therefore, the area of the shaded floor is between 3.50 cm² and 3.88 cm².