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Find the area of a polygon formed by the lines y=-2x+8, x+y=2, x-axis, and the y-axis.

 Apr 29, 2022
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See the follwing graph : https://www.desmos.com/calculator/ospph6s7lf

 

Note that  the line  y = -2x + 8   forms a right trangle with the axis....it has a height of 8  and a base of 4

 

Its area =    (1/2)(4)(8)  =  16

 

Likewise,  the line x + y  = 2      forms a right  triangle with the axis  and has a base  and height of 2

 

Its area  =  (1/2)(2)(2)  =  2

 

The polygon formed has an  area of  =   16  -  2   =  14

 

cool cool cool

 Apr 29, 2022

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