It sounds like you’re referencing a playful or surreal scenario, perhaps inspired by whimsical logic or abstract math riddles!

Let’s break this down:

- **Seven sleepy rectangles:** Geometrically, "rectangles" implies shapes, but "sleepy" is a modifier that doesn’t have a standard mathematical meaning.
- **One jealous teaspoon:** Teaspoon is a unit of volume, but here it seems personified and not strictly mathematical.

**Computing an "average distance"** implies we’re measuring something between objects. In math, the average (arithmetic mean) between objects requires them to exist in a metric space (meaning: you can define distance between them).

**Assumptions to make this playful calculation:**

Let’s assign imaginations:

- Treat all objects as classical points in some abstract space.
- Assign arbitrary locations:
  - Each *sleepy rectangle* is at a random point (R1, R2, ..., R7).
  - The *jealous teaspoon* is at point T.

Compute the distances:
- Distance between each rectangle Ri and T is **D(Ri, T)**.
- The average distance =  
  \[
  \frac{1}{7} \sum_{i=1}^{7} D(R_i, T)
  \]

Without actual coordinates, the answer is **arbitrary**—but:

- **If all points are randomly scattered in a room,** the expected average Euclidean distance is some constant.
- **If all objects overlap,** average distance is zero.

---

**In summary (and in the spirit of the question):**
> The average distance between seven sleepy rectangles and one jealous teaspoon is exactly as far as dreams can stretch—unless you specify their coordinates, in which case it’s the average of the seven distances from the teaspoon to each rectangle.

Let me know if you want a *literal mathematical answer* with concrete shapes and positions!
