$\left | x+y \right | =1$ here one first presumes x+y=1 and x+y= - 1
$\left | x \right | =1$ here x=1 and x= - 1
$\left | y \right | =1$ here y=1 and y= - 1
Now plotting the curves
The area of the shaded portion is the area bounded by the three curves which is 2 full squares and 2 half squares or triangles and this would add up to 3 sq cms (2 + 1/2 + 1/2)
Hence Option B is correct.