A triangular region is enclosed by the lines with equations y = 1/2 x + 3, y = -2x + 6 and y = 2. What is the area of the triangular region? Express your answer as a decimal to the nearest hundredth.

See the graph here : https://www.desmos.com/calculator/f0s0j3wor8

The base of the trangle = (2 - -2) = 4

The height = (3.6 - 2) = 1.6

The area = (1/2) (4) (1.6) = 3.2 units ^2