Find the Area of the Region Bounded by the Parabola $x = y ^ { 2 }$

Multiple Choice

Find the area of the region bounded by the parabola $x = y ^ { 2 }$ and the line $x - 2 y = 3$ .

A) $\frac { 29 } { 3 }$
B) $\frac { 32 } { 3 }$
C) $\frac { 35 } { 3 }$
D) $\frac { 38 } { 3 }$
E) $\frac { 41 } { 3 }$
F) $\frac { 44 } { 3 }$
G) $\frac { 47 } { 3 }$
H) $\frac { 50 } { 3 }$