SOLUTION: Find the area of the curve enclosed by the |x| + |y| = 1.
Algebra
->
Quadratic-relations-and-conic-sections
-> SOLUTION: Find the area of the curve enclosed by the |x| + |y| = 1.
Log On
Algebra: Conic sections - ellipse, parabola, hyperbola
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Quadratic-relations-and-conic-sections
Question 1081939
:
Find the area of the curve enclosed by the |x| + |y| = 1.
Answer by
ikleyn(52785)
(
Show Source
):
You can
put this solution on YOUR website!
.
The area is 2 square units.
Your area is a quadrilateral (actually, a square around the origin of the coordinate system) restricted by the lines.
Plot y = 1 - |x| (red) and y = -(1 - |x|) (green)