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Polygon abcd has the following vertics: a( -3, 3) b (5, 5) c (5, -4 ), d (-3 -4). caculate the area of the polygon

Sagot :

gmany

Analytic geometry (polygon in the coordinate system).

Mark the point on the coordinate system and draw the polygon (attachment).

This is the trapezoid.

The formula of an area of a trapezoid:

[tex]A=\dfrac{a+b}{2}\cdot h[/tex]

a, b - the lengths of the parallel sides

h - the height

Substitute:

[tex]a=9,\ b=7,\ h=8\\\\A=\dfrac{9+7}{2}\cdot8=\dfrac{16}{2}\cdot8=8\cdot8=64[u^2][/tex]

[tex]\huge\boxed{A=64u^2}[/tex]

View image gmany
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