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Find the area of a polygon formed by the lines y=-2x+6, x+y=2, x-axis, and the y-axis.

tertre  Apr 19, 2018
 #1
avatar+87604 
+2

 

See the graph here : https://www.desmos.com/calculator/jixmlpt6fz

 

The easiest way to do this is to find the area bounded by   y  = -2x + 6,  x  = 0   and y = 0    ....and from this subtract the area bounded by x + y  = 2, x = 0 and y  =0

 

For the first area....we have a triangle with a height of 6  and a base  of 3....so....the area  is  (1/2)(3)(6)  = 9 units^2

 

For the second area....we have atiangle with  a  height of 2 and a base of 2.....so....the are   is (1/2)(2)(2)  = 2 units^2

 

So....the area of the polygon is just    [ 9 - 2 ]  =   7 units^2

 

 

cool cool cool

CPhill  Apr 19, 2018

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