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

Perimeter = 22.434

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 = √((x_1 - x_2)^2 + (y_1 - y_2)^2)`

side UV:

`UV = √((-2 - 3)^2 + (4 - 4)^2) = 5`

side VW:

`VW = √((3 - 3)^2 + (4 - (-4))^2) = 8`

side UW:

`UW = √((-2 - 3)^2 + (4 - (-4))^2) = 9.434`

So the perimeter is:

`P = UV + VW + UW`

`P = 5 + 8 + 9.434 = 22.434`