Answer:
The answer is below
Step-by-step explanation:
Distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]
[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The perimeter of rectangle = 2(length + breadth)
If the vertices are at (5, 8), (8, 8),(8,10),and (5,10), then:
[tex]length=\sqrt{(8-5)^2+(8-8)^2} =3\\\\breadth=\sqrt{(8-8)^2+(10-8)^2} =2[/tex]
The perimeter of the county would be = 2(length + breadth) = 2(3 + 2) = 10 unit
If the vertices are at A(−2, 5), B(5, 5),C(5,−9),and D(−2,−9), then:
[tex]breadth=|AB|=\sqrt{(5-(-2))^2+(5-5)^2} =7\\\\lenght=|BC|=\sqrt{(5-5)^2+(-9-5)^2} =14[/tex]
The perimeter of the county would be = 2(length + breadth) = 2(7 + 14) = 42 unit
