The area after 13 years will be 1163 km².
What is a percentage?
'Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator.'
What is area?
"Area is the quantity that expresses the extent of a region on the plane or on a curved surface."
According to the given problem,
Area of the forest cover = 2600 km²
Decreasing rate of the area = 6%
= 0.06
Area of the forest after 13 years = [tex]2600 * ( 1 - 0.06 )^{13}[/tex]
= [tex]2600*(0.94)^{13}[/tex]
= [tex]2600*0.447[/tex]
= 1,163.14 km²
≈ 1,163 km²
Hence, we can conclude, the area after 13 years will be 1,163 km².
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