Question

The area bounded by the line $2x+y=4$, $x$ - axis and the ordinate $x=-2$ is how many sq. units?

• A. 16
• B. 12
• C. 20
• D. 15

Answer 1

The correct option is A 16

$2x+y=4\Rightarrow y=4-2x$

${\int }_{-2}^2(4-2x)dx$

$={[4x-2x^2]}_{-2}^2$

$=(8-4)-(-8-4)$

$=4-(-12)$

$=16$sq.units