Solve the Problem $\frac { 1 } { 4 }$ B) $\frac { 1 } { 3 }$

Multiple Choice

Solve the problem.
-A rectangle with sides parallel to the axes is inscribed in the region bounded by the axes and the line x + 2y = 2. Find the maximum area of this rectangle.

A) $\frac { 1 } { 4 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 2 } { 3 }$
D) $\frac { 1 } { 2 }$