A triangular region is enclosed by the lines with equations \(y = \frac{1}{2} x + 3\), \(y = -2x + 6\) and \(y = 1\). What is the area of the triangular region? Express your answer as a decimal to the nearest hundredth.
Look at the graph here :
https://www.desmos.com/calculator/p2grow8ajp
The base of the triangle = [ 2.5 - (-4) ] = 6.5 units
The height of the triangle is .3.6 units
So....the area is
(1/2) (base) ( height)=
(1/2) ( 6.5) ( 3.6) =
11.7 units^2
