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.

Guest Aug 21, 2021

#1**+1 **

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

**Hello Guest**

\(P_{1,2}\\ \frac{1}{2}x+3=-2x+6\\ x=\frac{6}{5}\\ y=3.6\)

\(P_{1,3}\\ 0.5x+3=2\\ x=-2\\ y=2\)

\(P_{2,3}\\ -2x+6=2\\ x=2\\ y=2\)

\(A=(2-(-2))\cdot (3.6-2)/2\)

\(A=3.2\)

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asinus Aug 21, 2021