Area of the region bounded by $|x|+|y|≤2$ is:

16 4 12 8

8

$|x|+|y|≤2$ $ar(OBC)=ar(OCD)=ar(ODA)=ar(OAB)$ $ar(ABCD)=4×ar(OBC)$ $ar(OBC) = \frac{1}{2}×2×2$ (area of triangle) $⇒ar(ABCD)=4×\frac{1}{2}×2×2$ = 8 sq. units