Question

Draw the graphs of the equations $x=3,x=5$ and $2x-y-4=0$. Also find the area of the quadrilateral formed by the lines and the x-axis

• A. $2$ sq. unit
• B. $8$ sq. unit
• C. $15$ sq. unit
• D. $20$ sq. unit

Answer 1

The correct option is B $8$ sq. unit

Clearly the quadrilateral is trapezium
Thus it's area $=\frac{1}{2}($AD$+$BC $)\times$ AB
$=\frac{1}{2}\times (2+6)\times 2=8$ sq. units