Answer:
6 miles
Explanation:
Given that the central par is a rectangle with vertices at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25).
Let the vertices be labeled with points ABC, i.e
A (-1.25,-0.25), B(-1.25, 0.25), and C(1.25, 0.25)
The distance between two points is given by the formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence:
[tex]AB=\sqrt{( 0.25-(-0.25))^2+(-1.25-(-1.25))^2}=\sqrt{0+0.5^2}=0.5\\ \\BC =\sqrt{(1.25-(-1.25))^2+( 0.25-0.25)^2}=\sqrt{2.5^2+0}=2.5[/tex]
The perimeter of a rectangle is given by:
Perimeter = 2(length + breadth)
Hence, Perimeter = 2(AB + BC)
Perimeter = 2(0.5 + 2.5) = 2(3) = 6
Perimeter = 6 miles
