Area of the region bounded by $|x|+|y|≤2$ is:
Answer & explanation
Correct answer: option 4
$|x|+|y|≤2$
$ar(OBC)=ar(OCD)=ar(ODA)=ar(OAB)$
$ar(ABCD)=4×ar(OBC)$
$ar(OBC) = \frac{1}{2}×2×2$ (area of triangle)
$⇒ar(ABCD)=4×\frac{1}{2}×2×2$
= 8 sq. units
Area of the region bounded by $|x|+|y|≤2$ is:
Correct answer: option 4
$|x|+|y|≤2$
$ar(OBC)=ar(OCD)=ar(ODA)=ar(OAB)$
$ar(ABCD)=4×ar(OBC)$
$ar(OBC) = \frac{1}{2}×2×2$ (area of triangle)
$⇒ar(ABCD)=4×\frac{1}{2}×2×2$
= 8 sq. units