Given equations are
4x−y−4=0...(1)
3x+2y−14=0...(2)

Write y in terms of x for equation (1).
4x−y−4=0
⇒y=(4x−4)
Substitute different values of x in the above equation to get corresponding values of y

For  x=1,y=0
For  x=0,y=−4
For  x=2,y=4

Now plot the points A(1,0), B(0,−4) and C(2,4) in the graph paper and join A, B and C to get the graph of 4x−y−4=0

Similarly, Write y in terms of x for equation (2).
3x+2y−14=0
⇒y=(14−3x)/2​
Substitute different values of x in the above equation to get corresponding values of y

For  x=0,y=7
For  x=2,y=4
For  x=4,y=1

Now plot the points D(0,7), E(2,4) and F(4,1) in the graph paper and join D, E and F to get the graph of 3x+2y−14=0

From the graph:
Both the lines intersect each other at point C(2,4) and y-axis at B(0,−4) and D(0,7) respectively

∴ Area of △BCD=1/2​(base×altitude)
=1/2×11×32 sq.units
=11 sq.units.