Answer
$36.4 \text{ km}^2$
Work Step by Step
Convert by multiplying $\dfrac{2.6 \text{ km}^2}{1 \text{ mi}^2}$ to obtain:
$\require{cancel}
=14 \cancel{\text{ mi}^2} \cdot \dfrac{2.6 \text{ km}^2}{1 \cancel{\text{ mi}^2}}
\\=14(2.6) \text{ km}^2
\\=36.4 \text{ km}^2$