Question

Find the perimeter of the polygon with the vertices U(−2, 4), V(3, 4),U(−2, 4), V(3, 4), and W(3,−4)W(3,−4).

Answer 1

Answer:

Perimeter = 22.434

Step-by-step explanation:

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

side UV:

$UV = \sqrt{(-2 - 3)^2 + (4 - 4)^2} = 5$

side VW:

$VW = \sqrt{(3 - 3)^2 + (4 - (-4))^2} = 8$

side UW:

$UW = \sqrt{(-2 - 3)^2 + (4 - (-4))^2} = 9.434$

So the perimeter is:

$P = UV + VW + UW$

$P = 5 + 8 + 9.434 = 22.434$