The area of the region bounded by the lines x + 2y = 12, x = 2, x = 6 and x-axis is: |
34 sq units 20 sq units 24 sq units 16 sq units |
16 sq units |
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 |