What is the area (in square units) of the triangular region enclosed by the graphs of the equations x + y = 3, 2x + 5y = 12 and the x-axis?

Answer: Option C

Solution

Answer: Option C

Solution:

$$\begin{array}{rl}& x+y=3\\ & \underline{2x+5y=12}\\ & y=2\end{array}$$

Area of ΔABC = $$\frac{1}{2}$$ × 3 × 2 = 3