Question

Find the perimeter of pentagon STUVW WITH VERTICES S(0,0) T(3,-2) U(2,-5) V(-2,-5) W(-3,-2)

Answer 1

Use the distance formula.


`\sqrt{( x_(2) - x_(1) )^2 + (y_(2) - y_(1))^2}`


Points S and W.

`√((3)^2 + (2)^2)`


`√(9+4)`


`√(13)`

~3.6

Points S and T

`√((3 - 0)^2 + (-2 - 0)^2)`


`√((3)^2 + (-2)^2)`


`√(9+4)`


`√(13)`

~3.6

Points T and U

`√((3 - 2)^2 + (-2 + 5)^2)`


`√((1)^2 + (3)^2)`


`√(1+9)`


`√(10)`

~3.1

Points U and V

`√((2+2)^2 + (-5 + 5)^2)`


`√((4)^2 + (0)^2)`


`√(16)`

~4

Points V and W

`√((-2+3)^2 + (-5 + 2)^2)`


`√((1)^2 + (-3)^2)`


`√(2+9)`


`√(11)`

~3.3

Add all these together.

3.3 + 3.1 + 4 + 3.1 + 3.6
≈17