Question

Find the perimeter of a pentagon with vertices at t(4, 3), r(4, -2), i(-1, -2), a(2, -6) and l(-1, 3). Round to the nearest tenth of a unit.

Answer 1

To find the perimeter of a pentagon with the given vertices, you need to calculate the distance between each pair of consecutive vertices and then add them up.

Step-by-step explanation:

To find the perimeter of a pentagon with the given vertices, you need to calculate the distance between each pair of consecutive vertices and then add them up.

Using the distance formula d = sqrt((x2-x1)^2 + (y2-y1)^2), where (x1, y1) and (x2, y2) are the coordinates of two points, you can find the distances between the vertices:

1. d(t, r) = sqrt((4-4)^2 + (-2-3)^2)
2. d(r, i) = sqrt((4-(-1))^2 + (-2-(-2))^2)
3. d(i, a) = sqrt((-1-2)^2 + (-2-(-6))^2)
4. d(a, l) = sqrt((2-(-1))^2 + (-6-3)^2)
5. d(l, t) = sqrt((-1-4)^2 + (3-3)^2)

Finally, you add up the distances to get the perimeter of the pentagon.