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# Find the area of a polygon formed by the lines

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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:

$$x_1=4\\ y_1=8\\ x_2=2\\ y_2=2$$

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

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

$$A=14$$

!

Nov 18, 2020