Use python....

The shoelace algorithm for calculating the area of a simple polygon (that is, one without holes or self- intersections) proceeds as follows: Write down the (x, y) coordinates of the N vertices in an N * 2 array and then repeat the coordinates of the first vertex as the last row to make an (N + 1) x 2 array. Now (a) multiply each x-coordinate value in the first N rows by the y-coordinate value in the next row down and take the sum, S1 = x1y2 + x2y3 + ... + xn91. Then (b) multiply each y-coordinate value in the first N rows by the x-coordinate in the nextrow down and take the sum, S2 = y1x2 + y2x3 + ... + YnX1. The area of the polygon is then -|S1 - Szl. Implement this algorithm as a function that takes a NumPy array of vertices as its argument and returns the area of the polygon. Do not use Python loops! * * * * * Yz * * * * * * *