Answer:
14
Explanation:
Given the points (-2,1), (3,1), (3,-1), and (-2,-1) that are the vertices of a quadrilateral, you want to find the perimeter.
Perimeter
The perimeter of a plane figure is the sum of the lengths of its sides. When you plot these points, you see they define a rectangle with horizontal sides of length (3-(-2)) = 5, and vertical sides of length (1 -(-1)) = 2. There are two sides of each of these lengths, so the perimeter is ...
P = 2(L+W) = 2(5 +2) = 2(7)
P = 14
The perimeter of the figure is 14 units.
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Additional comment
When trying to work out measures associated with a set of points, it is often useful to graph those points.