Question

Question #d360b

Answer 1

`30.44`

Explanation:

Remember, to find the length between two sides, you use the formula:
`sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Therefore...

1) Find the length of side `AB`
`sqrt((-3-(-6))^2 + (6 - (-4))^2) = sqrt(109)`

2) Find the length of `BC`
`sqrt((4-(-3))^2 + (0 - 6)^2) = sqrt(85)`

3) Find the length of `CD`
`sqrt((2 - 4)^2 + (-1 - 0)^2) = sqrt(5)`

4) Find the length of `AD`
`sqrt((2 - (-6))^2 + (-1 - (-4))^2) = sqrt(73)`

5) Add up all of the lengths
`sqrt(109) + sqrt(85) + sqrt(5) + sqrt(73) = 30.44`

Hope that makes sense!