Question

The area of the shaded portion is

• A. $3$ sq. units
• B. $7$ sq. units
• C. $6$ sq. units
• D. $4$ sq. units

Answer 1

The correct option is C $6$ sq. units

We have,
$x+y=5\Rightarrow x=-y+5$
$\Rightarrow$ Required area $=\underset{1}{\overset{3}{\int }}(-y+5)dy$
$={[-\frac{y^2}{2}+5y]}_1^3=-\frac{9}{2}+15+\frac{1}{2}-5$
$=6$ sq. units