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ZanzabumX [31]
2 years ago
8

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

Mathematics
1 answer:
Georgia [21]2 years ago
5 0
<h3>Analytic geometry (polygon in the coordinate system).</h3>

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

This is the trapezoid.

The formula of an area of a trapezoid:

A=\dfrac{a+b}{2}\cdot h

a, b - the lengths of the parallel sides

h - the height

Substitute:

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

\huge\boxed{A=64u^2}

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Answer:

  3)  16.2

Step-by-step explanation:

The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:

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