Question

Find the perimeter ? Plsss

Answer 1

Hey there!

Answer:

25.1 units.

Step-by-step explanation:

Calculate the lengths of sides AB, BC and AC. Use the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}$

Solving for AB:

$d = \sqrt{(4 -(-4))^2 + (5-(-1))^2}$

$d = \sqrt{8^2 + 6^2}$

$d = \sqrt{100}$

$AB = 10$

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:

$d = \sqrt{(4-(-4))^2 + (-2-(-1))^2}$

$d = \sqrt{(8)^2 + (-1)^2}$

$d = \sqrt{65}$

d≈ 8.06 units

Add up all of the side lengths:

10 + 7 + 8.06 = 25.06 ≈ 25.1 units.