The area of the region bounded by the lines x + 2y = 12, x = 2, x = 6 and x-axis is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) - 16 sq units
$x + 2y = 12, x = 2, x = 6$
area = $\int\limits_2^66-\frac{x}{2}dx$
$=\left[6x-\frac{x^2}{4}\right]_2^6$
$24-\frac{32}{4}=16$ sq. units