Question

Coordinate Geometry


For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field.

Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows.

Cone W is located at (-31, -55).
Cone X is located at (-31, 55).
Cone Y is located at (31, 55).
Cone Z is located at (31, -55).

What is the perimeter of the field?

172 yards
37 yards
344 yards
6,820 yards