user: I was reviewing the basics of geometry and ended up with a challenge to calculate the area of a polygon. The polygon is defined by these vertices: [[1,2],[3,4],[1,4],[3,7]]. Can you help me determine the area of this polygon using the shoelace formula?

Available functions:
name: polygon_area
description: Calculate the area of a polygon given its vertices using the shoelace formula.
parameters: type: dict
properties: vertices: type: array
items: type: array
items: type: integer
description: A single vertex represented by a 2 element list [x, y].
description: The vertices of the polygon, where each vertex is a 2 element list [x, y].
required: vertices