How can you find the perimeter and area of a polygon in a coordinate plane?

To find the perimeter of a polygon in a coordinate plane, calculate the distance between each pair of consecutive vertices using the distance formula, and then sum these distances. For the area, you can use the Shoelace theorem, which involves multiplying the coordinates of the vertices in a specific order and then applying the formula to find the area. Alternatively, for simple polygons, you can also divide the shape into triangles and sum their areas.