Question 1044930
.
 the area of the region enclosed by [x]+[y]=1 is ? brackets mean (absolute value)
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The area of this region is 2 square units.


It consists of 4 right-angled triangles, each with the legs of 1 unit long.


See the plot below.

<TABLE> 
  <TR>
  <TD> 

{{{graph( 330, 330, -3.5, 3.5, -3.5, 3.5,
          1-x, 1+x, -1+x, -1-x
)}}}


Region |x| + |y| <= 1 enclosed between 4 straight lines.

  </TD>
  </TR>
</TABLE>

<U>My note</U>: usually, when someone wants to present the absolute value of x, he/she uses the notation |x|.