Question

Can someone help me out? :) The answer choices are:

A) 20.0
B) 21.2
C) 22.4
D) 23.6

Answer 1

Explanation:

Answer 2

20.0

Explanation:

We can use the distance formula, d =
`\sqrt{(x_(1)-x_(2)) ^(2) +(y_(1)-y_(2)) ^(2)}` to find the length of three sides separately.

AB =
`\sqrt{(-4+2) ^(2) +(1-3}) ^(2)}` =
`√(8)`

BC =
`\sqrt{(-2-3) ^(2) +(3+4) ^(2)}` =
`√(74)`

CA =
`\sqrt{(3+4) ^(2) +(-4-1) ^(2)}` =
`√(74)`

Perimeter =
`√(74)` +
`√(8)` +
`√(74)` = 20.0330776588 units