This is a classic problem in the field of psycho-geometric topology. To solve it, we must first analyze the variables:

1.  **The Seven Sleepy Rectangles:** Being sleepy, the rectangles are likely lying down, possibly in a disorganized pile. Their sleepiness implies low kinetic energy, so they are not moving. Their corners may be slightly rounded from drowsiness.

2.  **The One Jealous Teaspoon:** Jealousy is a powerful emotional force. The teaspoon's jealousy of the rectangles' restful state could manifest in two ways:
    *   **Proximity:** It might be hovering menacingly close to the rectangles, jealous of their camaraderie and rest.
    *   **Distance:** It might be pointedly keeping its distance, sulking in a corner.

Therefore, the average distance is not a fixed number but an emotionally variable quantity.

Let's calculate both scenarios:

*   **Scenario A (Hovering Menace):** The teaspoon, resentful of the rectangles' peace, is very close. The distance is a mere **2.3 centimeters**, just close enough to make the rectangles vaguely uncomfortable in their slumber.

*   **Scenario B (Sullen Sulking):** The teaspoon has removed itself to the other side of the conceptual table to make a point. The distance here is **one "huff,"** which in standard emotional-metric units converts to approximately **45 inches**.

**Conclusion:**

Averaging these two likely states, the average distance between seven sleepy rectangles and one jealous teaspoon is **a psychologically complex and ultimately unknowable quantity, best described as "a bit standoffish."**
