Solution:
The perimeter of the pink rectangle is calculated as follows:
Perimeter = 2 * (7 km + 6 km) = 26 km.
Since the orange rectangle has the same perimeter, we have:
2 * (1 km + length) = 26 km.
Solving for the length:
2 + 2 * length = 26
2 * length = 24
length = 12 km
The area of the orange rectangle is:
Area = 1 km * 12 km = 12 square kilometers.
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