Given the vertices of a polygon
W: (5, -1)
X: (5,6)
Y: (2,-1)
Z: (2,6)
We will graph the polygon on a grid of x-y plane
the graph will be as shown in the following picture:
As shown, the polygon is a rectangle:
Length = the distance between (5,-1) and (5,6) = 7 units
Width = the distance between (5,6) and (2,6) = 3 units
The perimeter = 2*(length + width) = 2 * (7+3) = 2 * 10 = 20
Area = Length x width = 7 x 3 = 21
So, the answer will be:
Perimeter = 20 units
Area = 21 square units