Find the area of a polygon formed by the lines y=-2x+8, x+y=2, x-axis, and the y-axis.
+14985 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:
\(x_1=4\\ y_1=8\\ x_2=2\\ y_2=2\)
\(Polygon\ A(2,0),B(4,0),C(0,8),D(0,2)\)
\(A=\frac{x_1\cdot y_1}{2}-\frac{x_2\cdot y_2}{2}=\frac{4\cdot 8}{2}-\frac{2\cdot 2}{2}\)
\(A=14\)
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