The area of the figure enclosed by the curve expressed by the equation | x | + | y | = 1 is () A. 2B. 2C. 1D. 4

The area of the figure enclosed by the curve expressed by the equation | x | + | y | = 1 is () A. 2B. 2C. 1D. 4

Equation | x | + | y | = 1, that is: X ± y = 1, or - x ± y = 1, (- 1 ≤ x ≤ 1, and - 1 ≤ y ≤ 1), so the graph enclosed by the curve represented by equation | x | + | y | = 1 is as shown in the figure: the curve is enclosed as a square with side length of 2 & nbsp;, so the graph area enclosed by the curve represented by equation | x | + | y | = 1 is 2 × 2 = 2, so a