Mathematics - Area Under Curves Question with Solution | TestHub

From the equation $|x+y|=2$, we can deduce two separate equations: $x+y=2$ and $x+y=-2$.

Similarly, from the equation $|x-y|=2$, we can deduce two separate equations: $x-y=2$ and $x-y=-2$.

Thus, the region bounded by these pairs of straight lines forms a square.

To find the length of the side of this square, we calculate the distance between the parallel lines $x+y=2$ and $x+y=-2$.

The length of the side is given by:

$$\frac{|2-(-2)|}{\sqrt{1^2+1^2}}=\frac{4}{\sqrt{2}}=2\sqrt{2}$$