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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.

 Mar 27, 2019
 #1
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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

 

 

cool cool cool

 Mar 27, 2019

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