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What is the area of the region bounded by the three lines with equations 2x+y = 8, 2x-5y = 20 and x+y = 10?

 Apr 29, 2018
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I put in the functions in desmos, and here is what I got:

 

https://www.desmos.com/calculator/obzfylom2j

 

I split the trianlge into two, and calculated the summation of their areas.

 

(10 - 4)*2 + (10 - 4)*12 = 84

 

The area of the triangle is 84.

 

I hope this helped,

 

Gavin.

 Apr 30, 2018

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