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**+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

CPhill
Apr 19, 2018