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What is the area of a polygon with vertices of (-4, 5), (-1, 5), (4, -3), and (-4,-3)?

176 square units
7 square units
44 square units
88 square units

User Ben Miles
by
7.4k points

1 Answer

1 vote

Answer:

Explanation:

Note that the first 2 points have the same y-coordinate (5) which means that the line joining them is horizontal so its length is -1 - (-4) = 3 units.

The line joining the last 2 points is also horizontal and its length is

4 - (-4) = 8 units.

If we draw the polygon on the coordinate plane we see that the polygon is a trapezoid so its area

= 1/2 h (a + b) where a and b are the above 2 lines and h is the distance between these lines.

h = 5 - (-3) = 8

so the area = 1/2 * 8(3 + 8)

= 44 unit^2.

User Toniann
by
9.0k points

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