To describe the polygon based on the given side lengths \( FR = 17 \), \( RS = 13 \), \( ST = 18 \), \( TR = 15 \), \( TL = 19 \), and \( FL = 20 \), we need to determine the type of polygon it forms. Here are the possibilities:

1. **Irregular Polygon**: This is the most general possibility since the side lengths are all different, which usually suggests that the polygon does not have equal sides or angles. The polygon is most likely irregular.

2. **Convex Polygon**: Given that the side lengths are positive and the sides connect sequentially, it’s likely that the polygon is convex. A convex polygon has all interior angles less than 180°, and no sides will cross each other.

3. **Hexagon**: Since there are six sides mentioned, the polygon is a hexagon. A hexagon can be regular (all sides and angles are equal) or irregular. Given the varying side lengths, this is an irregular hexagon.

4. **Simple Polygon**: Assuming the sides do not intersect at any point other than the vertices, the polygon is simple, meaning it does not cross itself.

The best description for this polygon would be an **irregular hexagon**.

Would you like further details on this type of polygon, or do you have any specific questions? 

### Related Questions:
1. What is the difference between regular and irregular polygons?
2. How do you calculate the sum of the interior angles of a polygon?
3. What is the formula to determine if a polygon is convex or concave?
4. How can you verify if a polygon is simple or complex?
5. How do the side lengths of a polygon relate to its interior angles?

### Tip:
When analyzing polygons, always check the number of sides first, as this helps you quickly identify the type of polygon you are dealing with.

Explore the characteristics and types of polygons based on given side lengths. Learn about irregular polygons, convex polygons, and hexagons with varying side lengths. Suitable for high school students studying geometry.

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