## mathmath333 one year ago Find the area of the region enclosed .

1. mathmath333

\large \color{black}{\begin{align} |x+y|+|x-y|=8 \end{align}}

2. mathmath333

@peachpi

3. anonymous

4. ParthKohli

Hey, try graphing this.

5. ParthKohli

It becomes a square with side length 8.

6. mathmath333

idk how to graph it with hand

7. ParthKohli

You get four lines:$+(x+y) + (x-y) = 8\tag{1}$$+(x+y) - (x-y) = 8\tag 2$$-(x+y) +(x-y) = 8\tag 3$$-(x+y) - (x-y) = 8 \tag 4$

8. ParthKohli

Of course the graph for these four lines and $$|x+y| + |x-y| = 8$$ is not identical, but both of them still make a square.

9. mathmath333

thnx!

10. mathmath333