Answer:
The area after 13 years will be 1141 km2
Step-by-step explanation:
This problem can be modeled with an exponencial equation:
A = Ao * (1+r)^t
Where A is the Area after t years, Ao is the inicial area and r is the rate that the area changes.
For our problem, we have that Ao = 2300, r = -5,25% = -0.0525 and t = 13.
Then, we can find the area after 13 years:
A = 2300 * (1 - 0.0525)^13
A = 2300 * (0.9475)^13 = 1140.93 km2
Rounding to the nearest square kilometer, we have A = 1141 km2
