The perimeter of the pentagon is 5√2 units option (3) is correct because the measure of the one side length is √2 units.
A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
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We have two endpoints of a regular pentagon:
(-1, 4) and (-2, 3)
The distance between the points using the distance formula:
[tex]\rm d=\sqrt{(-2+1)^2+(3-4)^2}[/tex]
d = √2 units
Pentagon has 5 sides:
The perimeter = 5(measure of one side length) = 5√2 units
Thus, the perimeter of the pentagon is 5√2 units option (3) is correct because the measure of the one side length is √2 units
Learn more about the regular polygon here:
brainly.com/question/11810316
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