Answer
$$35 \ km^2.$$
Work Step by Step
We have
$$(5.2\ km)(6.71\ km)=34.892 \ km^2.$$
Now, round this product to two significant digits, which is the accuracy of the least accurate measurement $5.2\ km$. That is,
$$(5.2\ km)(6.71\ km)=35 \ km^2.$$