Question

Find the area bounded by the curves x + 2|y| = 1 and x = 0.

Answer 1

1/2

Answer 2

The curve $x = 1 - 2|y|$ forms a V-shape with vertex at (1,0) and arms intersecting the y-axis ($x=0$) at (0, 1/2) and (0, -1/2). The bounded region is a triangle with these three points as vertices. The base of the triangle is on the y-axis (length 1) and its height is 1. The area is calculated as $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 1 \times 1 = \frac{1}{2}$.