In the rectangular coordinate plane, two lines that intersect perpendicularly at point $A ( 3,4 )$ have slopes whose sum is $\frac { 3 } { 2 }$.
If the points where these two lines intersect the x-axis are points B and C, what is the area of triangle ABC in square units?
A) 24
B) 20
C) 16
D) 12
E) 8
In the rectangular coordinate plane, two lines that intersect perpendicularly at point $A ( 3,4 )$ have slopes whose sum is $\frac { 3 } { 2 }$.

If the points where these two lines intersect the x-axis are points B and C, what is the area of triangle ABC in square units?\\
A) 24\\
B) 20\\
C) 16\\
D) 12\\
E) 8