First, let's convert all the measurements to the same unit:

4м 75см = 4.75 м

29дм = 2.9 м

6км = 6000 м

1000 м = 1000 м

Now we can perform the calculations:

(4.75 м - 2.9 м) (6000 м) + 1000 м = 1070 м 6000 м + 1000 м = 6420000 м + 1000 м = 6421000 м

4 м + 42 дм = 4 м + 4.2 м = 8.2 м

Now we calculate (6421000 м) ^ 2 and (8.2 м) ^ 2:

(6421000 м) ^ 2 ≈ 4.12824 * 10^13

(8.2 м) ^ 2 = 67.24 м

Therefore, the final result is approximately 4.12824 * 10^13 square meters and 67.24 square meters.