Final answer:
The area of the living room is 171 ft², rounded to two significant digits.
Step-by-step explanation:
The area of a rectangular room can be found by multiplying its length and width. In this case, the length is 16.25 ft and the width is 10.5 ft. To calculate the area, simply multiply these values: 16.25 ft x 10.5 ft = 170.625 ft².
Next, we need to determine the correct number of significant digits. The least precise measurement, which is 10.5 ft, has two significant digits. Therefore, the final answer should be rounded to two significant digits. Since the digit to the right of the second significant digit is 6, which is greater than 5, we round up the second significant digit. This gives us a final answer of 171 ft².