Question

Find the perimeter ? Plsss

Answer 1

Hey there!

Answer:

25.1 units.

Explanation:

Calculate the lengths of sides AB, BC and AC. Use the distance formula:
`d = √((x_2 - x_1)^2 + (y_2-y_1)^2)`

Solving for AB:

`d = √((4 -(-4))^2 + (5-(-1))^2)`

`d = √(8^2 + 6^2)`

`d = √(100)`

`AB = 10`

Solving for BC:

This side is a vertical line, meaning simply find the difference of y values between each endpoint.

`5-(-2) = 7`

`BC = 7`

Solving for AC:

`d = √((4-(-4))^2 + (-2-(-1))^2)`

`d = √((8)^2 + (-1)^2)`

`d = √(65)`

d≈ 8.06 units

Add up all of the side lengths:

10 + 7 + 8.06 = 25.06 ≈ 25.1 units.