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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.

 Nov 17, 2020
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Find the area of a polygon formed by the lines 1)  y=-2x+8, 2) x+y=2, x-axis, and the y-axis.

 

Hello Guest!

 

Schnittpunkte mit den Koordinatenachsen:

\(x_1=4\\ y_1=8\\ x_2=2\\ y_2=2\)

 

\(Polygon\ A(2,0),B(4,0),C(0,8),D(0,2)\)

 

\(A=\frac{x_1\cdot y_1}{2}-\frac{x_2\cdot y_2}{2}=\frac{4\cdot 8}{2}-\frac{2\cdot 2}{2}\)

\(A=14\)

laugh  !

 Nov 18, 2020

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